Multiple choice

Three persons P, Q and R started a business by investing their capitals in the ratio of 6 : 5 : 2. After 6 months, P and R invested half more of their initial capital amount. After a year, the total profit was Rs. 18,360. Find the share of Q in the profit. तीन व्यक्ति P, Q और R ने 6: 5: 2 के अनुपात में अपने धन का निवेश करके एक व्यवसाय प्रारम्भ किया। 6 महीने बाद, P, और R ने अपनी प्रारंभिक पूंजी राशि का आधा अधिक निवेश किया । एक वर्ष बाद, कुल लाभ 18,360 रु. में Q का हिस्सा ज्ञात कीजिये।

  1. Rs./रुपये 4510

  2. Rs./रुपये 6120

  3. Rs./रुपये 5325

  4. Rs./रुपये 5645

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial investments: 6x, 5x, 2x. After 6 months, P and R add half more: P invests 6x × 1.5 = 9x for remaining 6 months, R invests 2x × 1.5 = 3x for remaining 6 months. Q keeps 5x for 12 months. Investment ratios: P = (6x×6) + (9x×6) = 90x, Q = 5x×12 = 60x, R = (2x×6) + (3x×6) = 30x. Total = 180x. Q's share = (60/180) × 18360 = 6120. Time-weighted investment must be calculated.