Navya and Nitya are partners sharing profits in the ratio of 3:2 with capitals of Rs. 1,00,000 and Rs. 50,000 respectively. Hardik is admitted for 1/5 share in profits. The amount that Hardik will contribute as capital is _________
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs. 37,500
When the new partner’s capital is to be in proportion to his share, the combined capital of the old partners is taken to stand for their combined share of profit. From it the total capital of the new firm is worked out, and the new partner brings his share of that total.
Hardik’s share = 1/5, so the old partners’ combined share = 1 − 1/5 = 4/5
Combined capital of Navya and Nitya = Rs. 1,00,000 + Rs. 50,000 = Rs. 1,50,000
Total capital of the new firm = Rs. 1,50,000 × 5/4 = Rs. 1,87,500
Hardik’s capital = Rs. 1,87,500 × 1/5 = Rs. 37,500
Shortcut: Hardik’s capital = Rs. 1,50,000 × (1/5) ÷ (4/5) = Rs. 1,50,000 ÷ 4 = Rs. 37,500.
Note: NTA picked this question from an NCERT (2026-27) exercise and changed the figures. Do not ignore NCERT while practising numericals.
NCERT (2026-27 edition):
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