Multiple choice

A ,B, and C started a business by investing Rs. 55,000 , Rs. 65,000 and Rs. 75,000 respectively. A is a working partner and gets 20% of the profit as a working allowance and remaining is distributed in the proportion of their investment. If the money received by C is Rs. 27,000 what is total profit? A, B और C ने क्रमशः रु. 55,000 रु. 65,000 रु 75,000 का निवेश करके एक व्यवसाय शुरू किया। A एक कार्यशील भागीदार है और लाभ का 20% कार्य भत्ते के रूप में प्राप्त करता है और शेष को उनके निवेश के अनुपात में वितरित किया जाता है। यदि C द्वारा प्राप्त धन रु. 27,000 है तो कुल लाभ क्या है?

  1. Rs. 85500 रु. 85500

  2. Rs.87750 रु.87750

  3. Rs.76850 रु.76850

  4. Rs.70200 रु.70200

  5. None of these इनमें से कोई नहीं
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B Correct answer
Explanation

Total investment ratio A:B:C = 55000:65000:75000 = 11:13:15. Total profit = P. A gets 20% as working allowance = 0.2P. Remaining profit = 0.8P distributed in 11:13:15 ratio. C's share from remaining = (15/39) × 0.8P = 0.8P × 5/13. C's total = 27000 = 0.8P × 5/13. Solving: 27000 × 13 = 0.8P × 5; 351000 = 4P; P = 87750. Total profit is Rs. 87750.

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