Three partners invested in a business in the ratio 6 : 9 : 8. They invested their capitals for 12 months, 10 months and 3 months, respectively. What was the ratio of their profits?
Three partners invested in a business in the ratio 6 : 9 : 8. They invested their capitals for 12 months, 10 months and 3 months, respectively. What was the ratio of their profits?
तीन साझेदारों ने एक व्यवसाय में 6 : 9 : 8 के अनुपात में निवेश किया। उन्होंने अपनी पूँजी क्रमशः 12 महीने, 10 महीने और 3 महीने के लिए निवेश की। उनके लाभों का अनुपात ज्ञात कीजिए।
Detailed Solution & Logic
12 : 15 : 4
Profit ∝ Capital × Time
Given:
Capital ratio = $6 : 9 : 8$
Time = $12, 10, 3$ months
Multiply:
First = $6 \times 12 = 72$
Second = $9 \times 10 = 90$
Third = $8 \times 3 = 24$
Ratio = $72 : 90 : 24$
Divide by 6:
12 : 15 : 4
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