Question

A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
1. 8 months
2. 4 months
3. 12 months
4. None of the above

Answer 1

Correct Answer - Option 1 : 8 months

Given:

Amount invested by A in 12 months = Rs. 85,000

Amount invested by B = Rs. 42,500

Profit ratio = 3 ∶ 1

Calculation

Let assume that amount invested by B for x months

According to the question:

\(⇒ \frac{85,000 \times 12}{42,500 \times x} = \frac{3}{1}\)

By cross-multiplication 

⇒ x = \(\frac{85,000 \times 12}{42,500 \times 3}\)

⇒ x = 8 months

∴ B invested amount for 8 months.

The correct option is 1 i.e. 8