Selection Post Phase XIV (12th)24 Sep 2026Shift 2Partnership

A, B and C together start a business by investing a total amount of ₹4.5 lakh. A invests some amount of money; B invests ₹75,000 more than A and C invests ₹30,000 less than B. After one year the business earns a total profit of ₹16,200, which has to be shared among the partners in the ratio of their investments. Find the profit of C.

A, B और C मिलकर कुल ₹4.5 लाख की राशि निवेश (Investment) करके एक व्यवसाय शुरू करते हैं। A कुछ राशि निवेश करता है; B, A से ₹75,000 अधिक निवेश करता है और C, B से ₹30,000 कम निवेश करता है। एक वर्ष के बाद व्यवसाय को कुल ₹16,200 का लाभ (Profit) होता है, जिसे साझेदारों के बीच उनके निवेश के अनुपात (Ratio) में बाँटा जाना है। C का लाभ ज्ञात कीजिए।

Answer और ExplanationAnswer and explanation

Answer: (C) ₹5,580

माना A = x, तो B = x + 75,000 और C = (x + 75,000) − 30,000 = x + 45,000
x + (x + 75000) + (x + 45000) = 4,50,000 ⇒ 3x = 3,30,000 ⇒ x = 1,10,000
A = 1,10,000, B = 1,85,000, C = 1,55,000
C का लाभ (Profit) = 16200 × 155000450000 = 16200 × 3190 = 180 × 31 = ₹5,580
✓
C का लाभ ₹5,580 है।
Let A = x. Then B = x + 75,000 and C = (x + 75,000) − 30,000 = x + 45,000
x + (x + 75000) + (x + 45000) = 4,50,000 ⇒ 3x = 3,30,000 ⇒ x = 1,10,000
A = 1,10,000, B = 1,85,000, C = 1,55,000
C's profit = 16200 × 155000450000 = 16200 × 3190 = 180 × 31 = ₹5,580
✓
C's profit is ₹5,580.
SMART APPROACH

4,50,000 पर लाभ (Profit) 16200 है, यानी हर ₹100 पर ₹3.6। C = 1,55,000 ⇒ 1550 × 3.6 = ₹5,580।

Profit is 16200 on 4,50,000, i.e. ₹3.6 per ₹100 invested. C = 1,55,000 ⇒ 1550 × 3.6 = ₹5,580.

Source: Selection Post Phase XIV (12th) · 24 Sep 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: Selection Post Phase XIV (12th) · 24 Sep 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.