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Isha and Anshu together invested ₹49700 in a business. At the end of the year, out of a total profit of ₹8800, Isha's share was ₹2200. What was the in
Question

Isha and Anshu together invested ₹49700 in a business. At the end of the year, out of a total profit of ₹8800, Isha's share was ₹2200. What was the investment of Anshu?

A.

₹37400

B.

₹37275

C.

₹37025

D.

₹36760

Correct option is B

Given:
Total investment by Isha and Anshu = ₹49,700
Total profit at the end of the year = ₹8,800
Isha's share of the profit = ₹2,200
Formula Used:
1. Profit is shared in the ratio of investments.
2. If two partners invest amounts Iand I2, their profit shares are in the ratio I1 : I2
Solution:
Total profit = ₹8,800
Isha's share = ₹2,200
Anshu's share = Total profit - Isha's share
Anshu's share = 8,800 - 2,200 = 6,600
The profit is shared in the ratio of investments. Let:
Isha's investment = I 
Anshu's investment = A 
From the profit shares:
IA=2,2006,600=13\frac{I}{A} = \frac{2,200}{6,600} = \frac{1}{3}​​
So, the ratio of investments is  1: 3 .
Total investment = ₹49,700
Let Isha's investment = x and Anshu's investment = 3x .
x + 3x = 49,700
4x = 49,700
x =49,7004=12,425 \frac{49,700}{4} = 12,425​​
Anshu's investment = 3x = 3 ×\times​ 12,425 = 37,275.

Option (B) is right.
​​​​

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