Question
Download Solution PDFTwo friends invested ₹30,000 and ₹50,000 in a business. They earned a profit of ₹16,000 at the end of the year. One half of the profit was divided equally between them and other half was divided in the ratio of their capitals. How much did each of them receive?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
Investment by 1st one = Rs 30000
Investment by 2nd one = Rs 50000
Gained profit = Rs 16000
Solution :
According to the question they divided the half profit i.e. Rs 8000 equally.
I.e. they got Rs 4000 each initially.
Now ratio of their investments :
⇒ 30000 : 50000
⇒ 3 : 5
Now they both will get the profit according to their investments :
⇒ 3x + 5x = 8000
⇒ 8x = 8000
⇒ x = Rs 1000
1st one will get in Rs 8000: 3x = 3 × 1000
⇒ Rs 3000
2nd one will get in Rs 8000: 5x = 5 × 1000
⇒ Rs 5000
Total profit earned by 1st one = 3000 + 4000
⇒ Rs 7000
Total profit earned by 2nd one = 5000 + 4000
⇒ Rs 9000
Hence the correct answer is "Rs 7000 & 9000".
Last updated on Jun 13, 2025
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