Question

Three partners A, B and C invested amounts of 70,000, 80,000, and 96,000 respectively. They invested for a period of 10 years, 8 years and 9 years. Find the ratio of their profits.
1. 181 : 160 : 216
2. 175 : 162 : 216
3. 173 : 160 : 217
4. None of the above

Answer 1

Correct Answer - Option 4 : None of the above

Given:

A invested = Rs. 70,000 for 10 years

B invested = Rs. 80,000 for 8 years

C invested = Rs. 96,000 for 9 years

Formula:

Ratio of Profit = ratios of product of Amount invested and time

Calculation:

Person	A	B	C
Amount	70000	80000	96000
Time	10	8	9

Required ratio = 70000 × 10 ∶ 80000 × 8 ∶ 96000 × 9

⇒ 700 ∶ 640 ∶ 864

⇒ 175 ∶ 160 ∶ 216

∴ The ratio of their profits is 175 ∶ 160 ∶ 216.