Question:
C and D invested ₹1,40,000 and ₹1,80,000, respectively. C remained for 9 months and D for 8 months. If C’s share in the profit is ₹18,900, what is the total profit?
C और D ने क्रमशः ₹1,40,000 और ₹1,80,000 का निवेश किया। C 9 महीने तक और D 8 महीने तक रहा। यदि लाभ में C का हिस्सा ₹18,900 है, तो कुल लाभ क्या है?
Options:
- a) ₹40,500
- b) ₹36,000
- c) ₹34,200
- d) ₹38,400
- a) ₹40,500
- b) ₹36,000
- c) ₹34,200
- d) ₹38,400
correct answer : a)
Explanation:
Profit ratio of C : D = (1,40,000 × 9) : (1,80,000 × 8) = (14 × 9) : (18 × 8) = 126 : 144 = 7 : 8. Let total profit be 15x. C’s share = 7x = 18,900 => x = 2700. Total profit = 15x = 15 × 2700 = ₹40,500.
C : D का लाभ अनुपात = (1,40,000 × 9) : (1,80,000 × 8) = (14 × 9) : (18 × 8) = 126 : 144 = 7 : 8. माना कुल लाभ 15x है। C का हिस्सा = 7x = 18,900 => x = 2700. कुल लाभ = 15x = 15 × 2700 = ₹40,500.