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Q.Rohit, Virat and Anil are partners sharing profit-loss in equal proportion. Their total capital is ₹ 3,00,000. The proportion of their capital is 2 : 3 : 5. Firm pays 6% interest p.a. on the capital. Partner Virat received ₹ 45,400 including interest on capital. Compute what amount inclusive of interest is received by Rohit and Anil?

Gujarat GsebGujarat Board (GSEB) HSC Commerce Board 2025Subjective· 3mImportance★★★★★
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Capitals (2:3:5 of ₹3,00,000) = Rohit ₹60,000, Virat ₹90,000, Anil ₹1,50,000. Interest @6% = ₹3,600, ₹5,400, ₹9,000. Virat's total ₹45,400 − interest ₹5,400 = ₹40,000 profit share (equal for all). So Rohit = ₹40,000 + ₹3,600 = ₹43,600; Anil = ₹40,000 + ₹9,000 = ₹49,000.

Step 1 — Capital of each partner (ratio 2 : 3 : 5, total ₹3,00,000):

PartnerRatioCapital (₹)
Rohit260,000
Virat390,000
Anil51,50,000
Total103,00,000

Step 2 — Interest on capital @ 6% p.a.:

PartnerWorkingInterest (₹)
Rohit60,000 × 6%3,600
Virat90,000 × 6%5,400
Anil1,50,000 × 6%9,000

Step 3 — Profit share (profits shared equally):

Virat's receipt ₹45,400 = profit share + interest ₹5,400 → profit share = ₹45,400 − ₹5,400 = ₹40,000. …

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