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Question

Quantitative Aptitude Question on Profit and Loss

Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu's share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is

A

2400

B

2200

C

2000

D

1800

Answer

2000

Explanation

Solution

Anil contributes 70% of the total, thus when the overall profit falls from 18% to 15%, his profit share declines by ₹420.
Given that each of the three has invested a total of 'x,' we may write this as follows: 70% of (18% of x - 15% of x) = 420.
This can be reduced to: 420 = 70% of 3% of x.

When we solve for x, we obtain x = 20,000.

When the total profit jumps from 15% to 17%, Chintu's profit share increases by ₹80.
Chintu's profit portion will be represented as 'c%'.

c% of 2% of 20,000 = 80 as a result.
After finding c, we obtain c = 20%.

As a result, Bobby owns 10% of the entire investment. So, 2000 is equal to 10% of 20,000.