Question:medium

A sum of money is split among Amal, Sunil and Mita so that the ratio of the shares of Amal and Sunil is 3:2, while the ratio of the shares of Sunil and Mita is 4:5. If the difference between the largest and the smallest of these three shares is Rs 400, then Sunil’s share, in rupees, is

Updated On: Jan 15, 2026
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Solution and Explanation

Step 1: Unify Ratios

Given:
Amal : Sunil = 3 : 2 (i)
Sunil : Mita = 4 : 5 (ii)
To unify, equalize Sunil's representation. The LCM of 2 and 4 is 4. Adjust ratios:
Amal : Sunil = 6 : 4 (multiply by 2)
Sunil : Mita = 4 : 5
Combined ratio:
Amal : Sunil : Mita = 6 : 4 : 5

Step 2: Apply Given Value

Mita's share is ₹400.
Total units = 6 + 4 + 5 = 15.
Value per unit = ₹400 / 5 = ₹80.
Sunil's share (4 units) = 4 × ₹80 = ₹320.

Final Answer:

Sunil's share is ₹320

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