Question

A and B invest in a business in the ratio 4 : 1. If 50% of the total profit goes to charity and A's share after end of one year is Rs. 6400, Find the total Profit.
1. Rs. 16,000
2. Rs. 22,000
3. Rs. 18,000
4. Rs. 14,000
5. Rs. 12,000

Answer 1

Correct Answer - Option 1 : Rs. 16,000

Given:

Ratio of Investment of A and B in the business = 4 : 1

Percentage of profit goes to charity = 50%

A’s share = Rs. 6400

Calculation:

Let the total Profit = Rs. 100

Remaining profit after paying charity = 100 - 50 = Rs. 50

A’s share after paying charity

⇒ 50 × (4/5) = Rs. 40

When A’s share is Rs. 40 then total profit is Rs. 100

When A’s share is Rs. 6400 then total profit,

⇒ 6400 × (100/40) = Rs. 16,000

∴ Total Profit is Rs. 16,000.