Question

A certain sum of money is distributed among Rohan, Sohan, and Mohan in ratio 9 ∶ 8 ∶ 5 and in such a way that share of Rohan Rs. 2000 less than that of total share of Sohan and Mohan together. Find the difference between shares of Rohan and Mohan?
1. Rs. 4000
2. Rs. 3000
3. Rs. 2000
4. Rs. 1900

Answer 1

Correct Answer - Option 3 : Rs. 2000

Given:

The ratio of in which Rohan, Sohan and Mohan is distributed the money = 9 ∶ 8 ∶ 5

The share of Rohan Rs. 2000 less than that of total share of Sohan and Mohan

Calculations:

Let money distribution between Rohan, Sohan and Mohan be 9x, 8x and 5x respectively

Total share of Sohan and Mohan = 8x + 5x = 13x

Difference between total share of Sohan and Mohan to Share of Rohan = 13x – 9x = 4x

According to question,

⇒ 4x = 2000

⇒ x = 500

Share of Rohan = 500 × 9 = Rs. 4500

Share of Mohan = 500 × 5 = 2500

Difference between shares of Rohan and Mohan = 4500 – 2500 = Rs. 2000

∴ The difference between shares of Rohan and Mohan is Rs. 2000