Question

A man Distributed his wealth in the ratio (2/9) ∶ (3/7) ∶ (4/11) to his heirs named Aman, Bharat, and Chandu. If Chandu received Rs. 4284 as his share, then find the difference between share of Aman and Bharat.
1. Rs. 2455
2. Rs. 2431
3. Rs. 2219
4. Rs. 2250

Answer 1

Correct Answer - Option 2 : Rs. 2431

Given:

Ratio of Sum of Aman, Bharat, and Chandu = (2/9) ∶ (3/7) ∶ (4/11)

Share of Chandu = Rs. 4284

Concept Used:

We need to take the L.C.M. of denominator of given ratios and multiply that L.C.M. with ratios to get ratios in whole number.

We need to equate the Ratios to their actual values.

Calculation:

 L.C.M. of (9, 7, 11) i.e. 693

Ratio = [(2/9) ∶ (3/7) ∶ (4/11)] _{× 693} = 154 ∶ 297 ∶ 252

Share of Chandu = 252 Units

⇒ 252 Units = Rs. 4284

⇒ 1 Unit = 4284/252 = RS 17

Difference between share of Aman and Bharat = (297 - 154) = 143 Units

⇒ Difference between share of Aman and Bharat = 143 × 17

⇒ Difference between share of Aman and Bharat = Rs. 2431

∴ The Difference between share of Aman and Bharat is Rs. 2431