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:
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 of profit, the old partners’ total capital is treated as the capital for their combined share, and the total capital of the new firm is worked out from it.
Hardik’s share = 1/5, so the share of Navya and Nitya together = 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
A quick check: Hardik’s share is one-fourth of the old partners’ combined share (1/5 against 4/5), so his capital is one-fourth of Rs. 1,50,000, that is 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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