Partnership, General Mathematics

Question: 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 :
A
`Rs. 6000`

B
`Rs. 10000`

C
`Rs. 4000`

D
`Rs. 5000`

Note: solution: Suppose Ramesh invested `Rs.x`. Then, Manoj : Ramesh `= 20000 xx 6 : x xx 12`. `:. (120000)/(12x) = (6000)/3000` or `x = (120000)/24` `= 5000`.
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Question: Three partners A, B, C start a business. Twice A's capital is equal to thrice B's capital is four times C's capital. Out of a total profit of Rs. 16500 at the end of the year, B's share is :
A
`Rs. 4000`

B
`Rs. 6000`

C
`Rs. 7500`

D
`Rs. 6600`

Note: Solution: Let `C = x`. Then, `B = 4x` and `2A = 3 xx 4x = 12x or A = 6x`. `:. A : B : C = 6x : 4x : x = 6 : 4 : 1`. `:. B's` capital `= Rs. (16500 xx 4/11)` `= Rs. 6000`.
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Question: 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 :
A
`Rs. 11900`

B
`Rs. 8400`

C
`Rs. 14700`

D
`Rs. 13600`

Note: solution: Let `C = x`. Then `B = x + 5000` and `A = x + 5000 + 4000 = x + 9000` `:. x + x + 5000 + x + 9000 = 50000 iff x = 12000`. `:. A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12` `:. A,s` share = `Rs. (35000 xx 21/50)` `= Rs. 14700`.
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Question: Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is :
A
`Rs. 200`

B
`Rs. 300`

C
`Rs. 400`

D
`Rs. 600`

Note: solution: Let `C = x`. Then, `B = x/2` and `A = x/4`. `:. A : B : C = x/4 : x/2 : x = 1 : 2 : 4`. `:. C's` share `= Rs. (700 xx 4/7)` `= Rs. 400`.
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Question: If (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive:
A
`Rs. 2250`

B
`Rs. 1550`

C
`Rs. 900`

D
`Rs. 465`

Note: solution: `4A = 6B = 10C = k iff A = k/4, B = k/6 and C = k/10`. `:. A : B : C = k/4 : k/6 : k/10 = 15 : 10 : 6` `:.` C's share `= Rs. (4650 xx 6/31)` `= Rs. 900`.
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Question: 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 :
A
`Rs. 270`

B
`Rs. 320`

C
`Rs. 450`

D
`Rs. 285`

Note: solution: `A : B : C = 10 xx 20 : 30 xx 8 : 16 xx 9 = 200 : 240 : 144 = 25 : 30 : 18`. `:.` C's rent `= Rs. (1095 xx 18/73)` `= Rs. 270`.
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Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 cows for 5 months, C 35 cows for 4 months ans D 21 cows for 3 months. If A's share of rent is Rs. 720, the total rent of the field is :
A
`Rs. 3000`

B
`Rs. 3200`

C
`Rs. 3250`

D
`Rs. 3300`

Note: solution: `A : B : C : D = 24 xx 3 : 10 xx 5 : 35 xx 4 : 24 xx 3 = 72 : 50 : 140 : 63` Let total rent be `Rs. x`. Then, `A's` share `= Rs. (x xx 72/325)` `:. (72x)/325 = 720 iff x = (720 xx 325)/72` `= 3250`.
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Question: A, B, C start a business jointly. A invests 3 times as much as B invests and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 660. Out of it B's share is:
A
`Rs. 220`

B
`Rs. 120`

C
`Rs. 180`

D
`Rs. 240`

Note: solution: Let `C = x`. Then, `B = 2/3 x & A = 3 xx 2/3 x = 2x`. `A : B : C = 2x : 2/3 x : x = 6 : 2 : 3`. `B's` share `= Rs. (660 xx 2/11)` `= Rs. 120`.
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Question: 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. 27000, C's share is :
A
`Rs. 9000`

B
`Rs. 11250`

C
`Rs. 10800`

D
`Rs. 8625`

Note: solution: Let `A = x xx 12`. Then, `B = 2x xx 6 & C = 3x xx 4`. `:. A : B : c = 12x : 12x : 12x = 1 : 1 : 1`. `:. C's` share `= Rs. (27000 xx 1/3)` `= Rs. 9000`.
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Question: 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 :
A
`Rs. 16000`

B
`Rs. 24000`

C
`Rs. 20000`

D
`Rs. 28000`

Note: solution: Suppose `B` invested `Rs. x` for `y` months. Then `A` invested `Rs. 3x for 2y`months. `:. A : B = 3x xx 2x : x xx y = 6 : 1`. `:. B's` profit : Total profit `= 1 : 7`. `:. 1/7 = (4000)/z` or `z = 28000`.
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Question: 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 :

Question: Three partners A, B, C start a business. Twice A's capital is equal to thrice B's capital is four times C's capital. Out of a total profit of Rs. 16500 at the end of the year, B's share is :

Question: 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 :

Question: Rs. 700 is divided among A, B, C so that A receives half as much as B and B half as much as C. Then C's share is :

Question: If (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive:

Question: 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 :

Question: Four milkmen rented a pasture. A grazed 24 cows for 3 months; B 10 cows for 5 months, C 35 cows for 4 months ans D 21 cows for 3 months. If A's share of rent is Rs. 720, the total rent of the field is :

Question: A, B, C start a business jointly. A invests 3 times as much as B invests and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 660. Out of it B's share is:

Question: 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. 27000, C's share is :

Question: 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 :