Question

TESTY
1. A and B started a business with investments Rs.
42000 and Rs. 63000 respectively. After 4 months B
withdraws from the business. At the end of a year
they got Rs. 9600 as total profit. Find the share of
B?
(a) Rs. 5600
(b) Rs. 2800
(c) Rs. 3200
(d) Rs.6400
2. Ajay and Abhay started a business with investmen
12000 and Rs 39000 respectively. After​

Answer 1

Answer:

The share of B is (a) Rs. 5600

Step-by-step explanation:

To solve this problem, we need to use the concept of ratios. Let's assume that A and B's investments are in the ratio x: y, where x represents the ratio of A's investment and y represents the ratio of B's investment.

From the given information, we know that x + y = 1, and their total investment is 42000 + 63000 = 105000.

So, x = 42000 / 105000 and y = 63000 / 105000.

After 4 months, B withdrew from the business, so B's share for 8 months is (4/12) × y.

At the end of the year, the total profit was 9600 and A's share of profit is x × 9600.

B's share of profit is (4/12) × y × 9600 + (8/12) × y × 9600 = (1/3) × y × 9600 + (2/3) × y × 9600 = y × 9600.

So, (1/3) × y × 9600 = 9600 ×$(\frac{x}{x +y})$ = 9600 ×(42000 / 105000) = 5600.

Therefore, the answer is (a) Rs. 5600.

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