Question

7. A puts Rs. 550 more in a business than B, but B has invested his capital for 4
months while A has invested his for 3 months. If the share of A is Rs. 45 more
than that of B out of the total profit of Rs. 235, find the capital contributed by A?
(A) 570
(B) 1050
(C) 1120
(D) NONE​

Answer 1

Answer:

280

Step-by-step explanation:

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Answer 2

The capital contributed by A is 1120

Given,

A put Rs. 550 more in a business

A invested his capital for 3 months

B invested his capital for 4 months

share of A = 45 + share of B

Total profit = Rs. 235

To Find,

Capital contributed by A

Solution,

Let the capital contributed by B be x

Then the capital contributed by A is 550+x

Since A has invested for 3 months, the total amount invested by A = 3(550+x) = 1650+3x

also, since B has invested for 4 months, the total amount invested by B = 4x

Total investment by A and B = 4x + 1650 + 3x = 7x + 1650

Also, we have been given that total share of A = 45 + share of B

⇒ $\frac{1650+3x}{7x+1650} \times 235 = 45 + \frac{4x}{7x+1650} \times 235$

⇒ $(1650 + 3x) \times 235 = 45\times(7x+1650) + 4x\times 235$

⇒ $387750 + 705x = 315x + 74250 + 940 x$

⇒ $387750 - 74250 = 1255x - 705x$

⇒ $313500 = 550x$

⇒ $x = \frac{313500}{550}$

⇒ $x=570$

A has invested 550 + x = 550 + 570 = 1120

Therefore, the correct answer is (c) 1120

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