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

Question

Ridhima and Kavita were partners sharing profits and losses in the ratio of 3:2. Their fixed capitals were |1,50,000 and |2,00,000 respectively. The partnership deed provides for interest on capital @ 8% p.a. The net profit of the firm for the year ended 31st March, 2023 amounted to |21,000. The amount of interest on capital credited to the capital accounts of Ridhima and Kavita will be:

Answer 1

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

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

Solution and Explanation

Step 1: Unify Ratios

Step 2: Apply Given Value

Final Answer:

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