C Rs
Resume:
PARTNERSHIP
*. Three partners, A,B,C invest Rs.**000, Rs45000, Rs.54000 respectively. In
a business . Out of a total profit of Rs.37500, c’s share is. Ans: 15000
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Totalratio
Ratioofthe respective share
X Total profit
Answer with Explanation:
Step 1 : Find ratio for three partners investment
36000 : 45000 : 54000
(first divide by 1000 and then divide by 9)
4 : 5 : 6
Profit should be divided in the ratios of capitals Step 2: C’4 Share =
Totalratio
Ratioofthe respective share
X Total profit
= 6/15 X Rs. 37500
= Rs. 15000/-
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2. Kavitha and Sunitha are partners in a business. Kavita invests Rs.35000 for 8 months and Sunitha invests Rs.42000 for 10 months. Out of a profit of Rs.31570, Kavita’s share is
ans :Rs.12628
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Totalratio
Ratioofthe respective share
X Total profit
Answer with Explanation:
Step 1: Find ratio for two partners investment (ie ratio of their profits) Here the partners are invested for different lengths of time. There fore to find ratio, multiply their investment with their period. 35000 X 8 : 42000 X 10
280000 : 420000 (divide by 10000 and then divide by 2) 14 : 21
Step 2:
Kavitha’s share = 14/35 X Rs. 31570
= Rs. 12628/-
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3. Jayant opened a shop investing Rs.30000, Madhu joined him 2 months late investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Madhu’s share of profit?
Ans: 30000
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Totalratio
Ratioofthe respective share
X Total profit
Answer with Explanation:
Step 1 :
Find the profit ratio. Here Madhu joined 2 month date. Therefore length of his period in 10 months. Since different amount for different period, multiply the amount with period
30000 X 12 : 45000 X 10
360000 : 450000 (divide by 10000 and then divide by 9) 4 : 5
Step 2:
Madhu’s share = 5/9 X Rs. 54000
= Rs. 30000/-
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4. Nirmal and Kapil started a business investing Rs.9000 and Rs.12000 respectively. After 6 months, kapil withdrew half of his investment. If after a years, the total profit was Rs.4600, what was kapils share in it ? Ans Rs.2300
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Totalratio
Ratioofthe respective share
X Total profit
Answer with Explanation:
Step 1 :
Find the profit ratio. Here after 6 months Kapil kwithdrew half of his investment. Therefore after 6 months, his investment becomes 2
Rs . 12000
= Rs. 6000
9000 X 12 : 12000 x 6 + 6000 x 6
108000 : 108000
1 : 1
Step 2:
Kapil’s share = 1/2 X Rs. 4600
= Rs. 2300/-
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5. A,B and C enter into a partnership. A initially invests Rs.25 laksh and adds another Rs.10lakhs after one year. B initially invests Rs.35 laksh and withdraws Rs.10laksh after 2 years and C invests Rs.30 laksh. In what ratio should the profits be divided at the end of 3 years? Ans: 19:19:18
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with Explanation:
1. Total length of the period = 3 years
Therefore investment of A = Rs. 25 lakhs x 1 + Rs. 35 lakhs x 2
= Rs. 95 lakhs
2. A adds after one year Rs 10 lakhs
Therefore investment of B = Rs. 35 lakhs x 2 + Rs. 25 lakhs x 1
= Rs. 95 lakhs
3. B withdraws Rs. 10lakhs after 2 years
4. Investment of C = Rs. 30 x 3 = Rs. 90 lakhs
5. Profit ratio = 95 : 95 : 90
( divide by 5)
= 19 : 19 : 18
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6. Mohinder and Surinder entered into a partnership investing Rs.12000 and Rs.9000 rep. After 3 months sudhir joined them with an investment of Rs.15000. What is the share of Sudhir in a halfyearly profit of Rs.9500? ans Rs.2500
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Totalratio
Ratioofthe respective share
X Total profit
Answer with Explanation:
1. Total length of the period = 6 months
2. After 3 months Sudhir joined, therefore his length of period is 3 months 3. Find the profit ratio
12000 x 6 : 9000 x 6 : 15000 x 3
72000 : 54000 : 45000
(divide by 1000 and then divide by 9)
8 : 6 : 5
4. Sudhir’s share = 5/19 x Rs. 9500
= Rs. 2500/-
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7. A and B entered into a partnership investing Rs.16000 and Rs.12000 resp. After 3 months A withdrew Rs.5000 while B invested Rs.5000 more. After 3 more months C joins the business with a capital of Rs.21000. The share of B exceeds that of C, out of a total profit of Rs.26,400 after one year by ans: Rs.3600
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Share of B – Share of C
Answer with Explanation:
1. Investment of A = Rs.16000 x 3 + Rs. 11000 x 9
= Rs. 147000 (Since he withdrew Rs. 5000 after 3 months) 2. Investment of B = Rs. 12000 x 3 + Rs. 17000 x 9
= Rs. 189000 (He invested Rs. 5000 more after 3 months) 3. Investment of C = Rs. 21000 x 6
= Rs. 126000 (He joined after 3 more months)
4. Profit ratio = 147 : 189 : 126 ; 7 : 9 : 6
5. Share of B = 9/22 x 26400 = Rs. 10800/-
6. Share of C = 6/22 x 26400 = Rs. 7200/-
7. Share of B exceeds that of C = Rs. 10800 – Rs. 7200
= Rs. 3600/-
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8. X and Y invested in a business. They earned some profit which they divided in the ratio of 2:3. If X invested Rs.40000, the amount invested by Y is Ans: 60,000
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Ratio of investment = Ratio of Profit
Answer with Explanation:
1. Rs. 40000 : investment of Y = 2:3
2. 40000/ investment of Y = 2/3
3. 120000 = 2 x investment of Y
4. Investment of Y = 120000/2
= Rs. 60000/-
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9. Manoj received Rs.6000 as his share out of the total profit of Rs.9000 which he and RAmesh earned at the end of one year. If Manoj invested Rs.20,000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by RAmesh ?
Ans : Rs.5000
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Ratio of investment = Ratio of profit
Answer with Explanation:
Let the amount invested by Ramesh = Rs. X
He invested for 12 months = Rs. 12 X
Investment of Manoj = Rs. 20000 x 6
= Rs. 120000 (he invested for 6 months)
Profit ratio is = 6000 : 3000 ; 2 : 1
Ratio of investment = Profit ratio
120000 : 12X = 2 : 1
12 X
120000
= 2/1
120000 = 24X
X =
24
120000
= Rs. 5000/-
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10.Three partners A,B,C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs.16,500 at the end of the year Bs share is ans:Rs.6000 Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Totalratio
Ratioofthe respective share
X Total profit
Answer with Explanation:
Given that 2 ( A’s Capital) = 3 (B’s Capital)
B’s capital = 2/3 (A’s Capital)
Similarly B = 4 C 3 B = 12 C
2 A = 12 C C =
12
2
A =
6
1
A
Profit ratio : A’s Capital : B’s Capital : C’s Capital A: 2/3 A : 1/6 A 1: 2/3 : 1/6
Total Ratio = 1 + 2/3 + 1/6 =
6
6 + 4 + 1
=
6
11
B’s Share =
6
11
3
2
X 16500 = 2/3 x 6/11 x 16500
= Rs. 6000/-
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11. A,B,C subscribe Rs.50000 for a business. A subscribes Rs.4000 more than B and B Rs.5000 more than C. Out of a total profit of Rs.35000 A receives
(Ans:Rs.14,700)
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Totalratio
Ratioofthe respective share
X Total profit
Answer with Explanation:
A, B, C subscribe Rs. 5000 for a business
A + B + C = Rs. 5000/- 1)
Since A subscribes Rs. 4000 more than B
A – B = Rs. 4000/- 2)
Since B Subscribes Rs. 5000 more than C
B – C = Rs. 5000/- 3)
From (1), (2) and (3) A = Rs. 21000, B = Rs. 17000, and C = Rs. 12000 Profit ratio = 21 : 17 : 12
A’s share = 21 /50 x 35000 = Rs.14700
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12.Rs.700 is divided among A,B,C so that A receives half so much as B and b half as much as C. Then C’s share is
Ans:Rs.400
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Initially take C’s share = RS. 100
Totalratio
Pr ofitratioo fC
X Total profit
Answer with Explanation:
Given that A = 1 2 B and B = 1/2C
Let us consider C’s Share = Rs. 100
B = 1 2 x 100 = Rs. 50
A = 1 2 x 50 = Rs. 25/-
Profit ratio = 25 : 50 : 100
Hence C’s Share = 4/7 x Rs.700
= Rs. 400/-
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13.A,B,C, hire a meadow for Rs.1095, if A puts in 10 cows for 20 days’ B 30 cows for 8 days and C 16 cows for 9 days, then the rent paid by C is AnsRs.270
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Totalratio
RatioofC' srent
X Total rent
Answer with Explanation:
Step 1 : Find the ratio fo A, B, C rents
10 x 20 : 30 x 8 : 16 x 9 ( Since different periods are given) 200 : 240 : 144
25 : 30 : 18 ( divide by 8)
Step 2: Rent paid by C
= 18/ 73 x 1095
= Rs. 270/-
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14.Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 cows for 5 months, C 35 cows for 4 months and D 21 cows for 3 months. If A’s share of rent is Rs.720, the total rent of the field Ans: Rs.3250
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Total rent = Respective rent X
respective rentratio
Totalratio
Answer with Explanation:
Let us consider total rent of the field = Rs.x
Ratio of 4 milkman rents are
24 x 3 : 10 x 5 : 35 x 4 : 21 x 3 ( since different periods are given) 72 : 50 : 140 : 63
Given that A’s share = Rs. 720/-
72 /325 X = Rs. 720/-
X = 720 x 325 / 72
= Rs. 3250/-
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15.A,B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs.27,000, C’s share is ans Rs.9000
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
C’s Share =
Totalratio
Pr ofitratioo fC
X Total profit
Answer with Explanation:
Let us consider investment of A = Rs. 100/-
B = Rs. 200/-
C = Rs. 300/-
Profit ratio becomes
100x 12 : 200 x 6 : 300 x 4 (Since B invested after 6 months and C invested after 8 months)
1200 : 1200 : 1200
1 : 1 : 1
Hence C’s Share = 1/3 x 27000 = Rs. 9000/-
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16.A and B started a business jointly. A’s investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs.4000 as profit, then their total profit is Ans Rs.28,000
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Total Profit =
spectivera tio
spectivepr ofit
Re
Re
X Total Ratio
Answer with Explanation:
Let the total profit = Rs. X
Let the investment of B = Rs. 100
Let the period of investment of B = 1 year
Investment of A = Rs. 300 and period of investment of A = 2 years Profit ratio is 300 x 2 : 100 x 1
600 : 100
6 : 1
Total profit = 4000 x 7/1 = Rs. 28000/-
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17.A,B and C started a shop by investing Rs.27000, Rs.72000 and Rs.81000 respectively. At the end of the year the profits were distributed among them. If Cs share of profit be Rs.36000, then the total profit was ans”Rs//80,000
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Total Profit =
ofitratioo fC
C sshare
Pr
'
X Total ratio
Answer with Explanation:
Step 1 : Find the profit ratio
27000 : 72000 : 81000
3 : 8 : 9
Step 2: Total profit = 36000 X 20/9
= Rs. 80000/-
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18.A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of total profit B claims 2/7 of the profit. How much money was contributed by B Ans Rs.12800 Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Ratio of Investment = Ratio of Profit
Answer with Explanation:
Let the money contributed by B = Rs. X
Investment of A = 16000 x 8 = Rs. 128000
Investment of B = 4 X (Since B remains in the business for 4 months) Profit of B = 2/7
Profit of A = 1-2/7 = 5/7
Ratio of investment = Ratio of profit
128000 : 4X = 5/7 : 2/7
4 X
128000
= 5/7 x 2/7 = 5/2
20X = 25600
X = Rs. 12800
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19.A and B started a business with intial investments in the ratio 14:15 and their annual profits were in the ratio 7:6. If A invested the money for 10 months, for how many months did B invest his money ? Ans Rs.8 Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Ratio of Investment = Ratio of Profit
Answer with Explanation:
Let the period of investment of B = X months
Ratio of investment = Profit ratio
14 x 10 : 15X = 7 : 6
14 X
140
=
6
7
140 x 6 = 7 x 15X
840 = 105X
X =
105
840
= 8 months
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20.In a partnership, A invests 1/6 of the capital for 1/6 of the time, B invests 1/3 of the capital for 1/3 of the tiem and C, the rest of the capital for the whole time. Out of aprofit of rs.4600, B share is (Ans : Rs.800) Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
B’s Share =
Totalratio
Pr ofitratioo fB
X Total Profit
Answer with Explanation:
Investment of A = 1/6 x 1/6 = 1/36
Investment of B = 1/3 x 1/3 = 1/9
Investment of C = [ 1 ( 1 / 6 + 1 / 3 ) ] x 1 = 1 2
(for C, rest of the capital, so subtract 1/6 + 1/3 from 1 and whole time, therefore multiply by 1)
Profit ratio is 1/36 : 1/9 : 1 2
1/36 : 4/36: 18/36 [ LCM 36]
That is 1 : 4 : 18
B’s Share = 4/23 x 4600 = Rs. 800
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21.A and B invest in a business in the ratio 3:2 if 5% of the totalprofit goes to charity and A’s share is Rs.855, the total profit is (Ans Rs.1500) Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Total Profit = A’s Share
Assumedtot alprofit Rs . 5
assumedtot alprofit
ratioofA
Sumofthera tio
Answer with Explanation:
Suppose the total profit = RS. 100
Given that 5% goes to charity
Rs.5 goes to charity
Total Profit = 855
100 5
100
+
3
3 2
= 855
95
100
3
5
= Rs. 1500
Actual total profit = Rs. 1500/-
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22.A is a working, B a sleeping partner in a business. A puts in Rs. 12000 and B Rs. 20000. A receives 10% of the profits for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs.9600, the money received by A is :
Answer : Rs. 4,200
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with Explanation:
Step :1 First find the profit ratio
12000 : 20000
3 : 5
Step 2: A receiver 10% of the profits for managing and A receives 10/100 x 9600 = Rs. 960
Step 3 : Total lprofit will be reduced to
Rs. 9600 – Rs. 960 = Rs. 8640
Step 4 : A’s Share = 3/8 x 8640 = Rs. 3240
Step 5 : Money received by A = Rs. 3240 +Rs. 960
= Rs. 4200/-
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23.A,B,C started a business with their investments in the ratio 1:3:5 after 4 months. A invested the same amount as before and b as well as C withdrew half of their investments. The ratio of their profits at the end of the year is Ans: 5:6:10
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with Explanation:
Length of the period = 1 year
Investment of A = 1x4 + 2x8 = 20 ( after 4 months A invested the same amount) Investment of B= 3x4 + 3/2 x8 = 24 ( after 4 months B withdrew half of their amount)
Similarly investment of C = 5 x 4 + 5/2 x 8 = 40
Profit ratio = 20 : 24 : 40
= 5 : 6 : 10
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24. Alok started a business investing Rs. 90000 after 3 months Shabir joined him with a capital of Rs. 120000. if at the end of 2 years, the total profit made by them was Rs.96000, What will be the difference between their shares? Answer : Rs. 7,384
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with Explanation:
Length of the period = 2 years
Profit ratio = 90000 x 24 : 120000 x 21 (since Shabir joined after 3 months)
= 2160000 : 2520000
= 216 : 252
= 6 : 7
Alok’s share = 6/13 x 96000 = Rs. 44307.69
Shabir’s share = 7/13 x 96000 = Rs. 51692.31
Difference between their shares = Rs. 7384/-
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25. If 4 (A’s Capital) = 6(B’s Capital)= 10 (C’s Capital), then out of a profit of Rs.4650, C will receive :
Answer :Rs.900
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
C’s Share =
Totalratio
Pr ofitratioo fC
X Total Profit
Answer with Explanation:
Given that 4A = 6 B B =
6
4
A =
3
2
A
4 A = 10 C C =
10
4
A =
5
2
A
Profit ratio becomes
A : B : C
A :
3
2
A :
5
2
A
1 :
3
2
:
5
2
15 /15 : 10/15 : 6/15
15 : 10 : 6 ( LCM = 15)
Hence C’s Share = 6/ 31 x 4650
= Rs. 900/-
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26. Kamal started a business investing Rs.9000. After 5 months, Sameer joined with a capital of Rs.8000. If at the end of year, they earn a profit of Rs.6970, then what will be share of Sameer in the profit? Rs.1883.78 Rs.2380 Rs.3690 Rs.3864
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Sameer’s Share =
TotalRatio
Ratioofhis profit
X Total profit
Answer with Explanation:
Length of the period = 1 year
Ratio of the profit :
9000 x 12 : 8000 x 7 ( Sameer joined after 5 months) 108000 : 56000
108 : 56
27: 14
Sameer’s share = 14/41 X 6970
= Rs. 2380
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27. A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs.175, how much must C pay as his share of rent? Rs.45 Rs.50 Rs.55 Rs.60
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Rent of C =
TotalRatio
Ratioofhis rent
X Total rent
Answer with Explanation:
Ratio of the rent
10 x 7 : 12 x 5 : 15 x 3 ( different periods are given) 70 : 60 : 45
14 : 12 : 9
Rent of C = 9/35 x 175
= Rs. 45/-
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28. A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B’s shares in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business?
Rs.7500 Rs.9000 Rs.9500 None of these
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
B’s Share =
TotalRatio
Ratioofhis profit
X Total profit
Answer with Explanation:
Length of the period = 2 year
Ratio of the profit :
20000 x 24 : 15000 x 24 : 20000 x 18 ( C joined after 6 months) 480000 : 360000 : 360000
4 : 3 : 3
B’s share = 3/10 X 25000
= Rs. 7500/-
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29. A, B and C enter into a partnership. They invest Rs.40, 000, Rs.80, 000 and Rs.1, 20, 000 respectively. At the end of the first year, B withdraws Rs.40, 000, while at the end of the second year, C withdraws Rs.80, 000. In what ratio should the profits be divided at the end of 3 years? 2 : 3 : 5 3 : 4 : 7 4 : 5 : 9 None of these
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with Explanation:
Length of the period = 3 years
Investment of A = 40000 x 3 = Rs.
120000
Investment of B = 80000 x 1 + 40000 x 2 = Rs.
160000
( at the end of first year he withdrew Rs. 40000)
Investment of C = 120000 x 2 + 40000 x 1 = Rs.
280000
( at the end of second year he withdrew Rs. 80000) Careerarm.com
Profit ratio = 12 : 16 : 28
= 3 : 4 : 7
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• 30. A and B start a business with investments of Rs.5000 and Rs.4500 respectively. After 4 months, A takes out half of his capital. After two months, B takes out one- third of his capital while C joins them with a capital of Rs.7000. At the end of a year they earn a profit of Rs.5080. Find the share of each member in the profit. A – Rs.1400, B – Rs.1900, C – Rs.1780
A – Rs.1600, B – Rs.1800, C – Rs.1680
A – Rs.1800, B – Rs.1500, C – Rs.1780
A – Rs.1680, B – Rs.1600, C – Rs.1800
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with Explanation:
Length of the period = 1 years
Investment of A = 5000 x 4 + 2500 x 8 = Rs.
40000
Investment of B = 4500 x 6 + 3000 x 6 = Rs.
45000
Investment of C = 7000 x 6 = Rs.
42000
Profit ratio = 40 : 45 : 42
A’s share = 40 / 127 x 5080 = Rs. 1600/-
B’s share = 45 / 127 x 5080 = Rs. 1800/-
C’s share = 42 / 127 x 5080 = Rs. 1680/-
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31. A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs.760. A’s share in this profit is: Rs.330 Rs.360 Rs.380 Rs.430
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
A’s Share =
TotalRatio
Ratioofhis profit
X Total profit
Answer with Explanation:
Length of the period = 10 months
After 3 months ratio of A and B becomes
4 – 1 4 x 4 : 5 – 1/5 x 5
4-1 : 5- 1 = 3 : 4
Ratio of the profit :
4 x 3 + 3 x 7 : 5 x 3 + 4 x 7
33 : 43
A’s share = 33/76 X 760
= Rs. 330/-
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32. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs.6500 for 6 months, B, Rs.8400 for 5 months and C, Rs.10, 000 for 3 months. A wants to be the working member for which he was to receive 5% of the profits. The profit earned was Rs.7400. Calculate the share of B in the profit.
Rs.1900 Rs.2660 Rs.2800 Rs.2840
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
B’s Share =
TotalRatio
Ratioofhis profit
X Total profit
Answer with Explanation:
A receiveds 5% of the profits = 5/100 x 7400 = Rs. 370
total profit reduces to Rs. 7400 – Rs. 370 = Rs. 7030 Profit ratio :
6500 x 6 : 8400 x 3 : 10000 x 3
39000 : 42000 : 30000
13 : 14 : 10
B’s share = 14/37 X 7030
= Rs. 2660/-
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33. A began a business with Rs.85, 000. He was joined afterwards by B with Rs.42, 500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1
4 months 5 months 6 months 8 months
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
B scaitalXB stimeinpar tnership
A scaitalXA stimeinpar tnership
' '
' '
=
B sprofit
A sprofit
'
'
Answer with Explanation:
Length of the period = 1 year
Let the period of B = Y months
Using the above formula:
xY
x
42500
85000 12
= 3/1
Y
2 x12
= 3/1
24 = 3Y
Y = 24/3 = 8 months
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34. A, B and C contract a work for Rs.1100, A and B together are to do 7/11 of the work. C’s share is :
Answer : Rs. 400
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Answer with Explanation:
Given that A and B together are to do 7/11 of the work C has to do 1 – 7/11 of the work
That is
11
11 7
= 4/11 of the work
C’s share = 4/11 x Rs. 1100
= Rs. 400/-
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35. A, B, and C enter into a partnership with a capital in which A’s contribution is a Rs. 10000. If out of a total profit of Rs. 1000, a gets Rs. 500 and B gets Rs. 300 and then C’s capital is :
Answer: Rs. 4000
Difficulty Level : Easy Moderately easy Difficult
Basic Formula:
Ratio of investment = ratio of profit
Answer with Explanation:
Ratio of investment 10000 : Y : Z
(assume B as Rs. Y and C as Rs.Z)
Ratio of profit 500 : 300 : 200
5 : 3 : 2
Ratio of investment = ratio of profit
Consider A and C ( investemnet of A is given and c’s capital we have to find) 10000 : Z = 5 : 2
10000/Z = 5/2 20000 = 5Z
Z = 20000/5 = Rs. 4000
Hence C’s Capital = Rs. 4000/-
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