General Mathematics

Question: A, B and C eter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?
A
`20 : 19 : 18`

B
`10 : 10 : 9`

C
`20 : 20 : 19`

D
none of these

Note: solution: Ratio of their shares `= (25 lakhs xx 1) + (35 lakhs xx 2) : (35 lakhs xx 2 + 25 lakhs xx 1) : (30 lakhs xx 3)` `= 95 lakhs : 95 lakhs : 90 lakhs` `= 19 : 19 : 18`.
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Question: Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atul's share in it ?
A
`Rs. 4000`

B
`Rs. 4500`

C
`Rs. 6000`

D
`Rs. 8000`

Note: solution: Yogesh : Pranab : Atul `= 45000 xx 12 : 60000 xx 9 : 90000 xx 3` `= 2 : 2 :1`. `:.`Atul's share `= Rs. (20000 xx 1/5)` `= Rs. 4000`.
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Question: Mohinder and Surinder entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months, Sudhir joined them with an investment of Rs. 15000. What is the share of Sudhir in a half yearly profit of Rs. 9500 ?
A
`Rs. 3500`

B
`Rs. 3000`

C
`Rs. 2500`

D
`Rs. 4000`

Note: solution: Mohinder : Surinder : Sudhir `= 12000 xx 6 : 9000 xx 6 : 15000 xx 3` `= 8 : 6 : 5` Sudhir's share `= Rs. (9500 xx 5/19)` `= Rs. 2500`.
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Question: A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. 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. 26400 after one year by :
A
`Rs. 2400`

B
`Rs. 3000`

C
`Rs. 3600`

D
`Rs. 4800`

Note: solution: `A : B : C = 16000 xx 3 + 11000 xx 9 : 21000 xx 6` `= 147 : 189 : 126` `= 7 : 9 : 6` Difference of B and C's shares `= Rs. (26400 xx 9/22 - 26400 xx 6/22)` `= Rs. 3600`.
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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 :
A
`Rs. 50000`

B
`Rs. 60000`

C
`Rs. 80000`

D
`Rs. 45000`

Note: solution: Suppose y invested `Rs. y`. Then, `2/3 = 40000/y` or `y = ((40000 xx 3)/ 2)` `= 60000`.
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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 :
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 and C eter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?

Question: Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atul's share in it ?

Question: Mohinder and Surinder entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months, Sudhir joined them with an investment of Rs. 15000. What is the share of Sudhir in a half yearly profit of Rs. 9500 ?

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: 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: