Subject
Quantitative Aptitude
Topic
Partnership
Three partners shared the profit in a business in the ratio 5 : 7 : They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Three partners shared the profit in a business in the ratio 5 : 7 : They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
ক)
5 : 7 : 8খ)
20 : 49 : 64গ)
38 : 28 : 21ঘ)
None of theseExplanation
Let their investments be Tk. x for 14 months, Tk. y for 8 months and Tk. z for 7 months respectively. Then, 14x : 8y : 7z = 5 : 7 : 8. Now, 14x/8y = 5/7 or, 98x = 40y or, y = (49/20)x And, 14x/7z = 5/7 Or, 112x = 35z Or, z = (112/35)x =(16/5)x. Therefore, x : y : z = x : (49/20) x : (16/5) x = 20 : 49 : 64.Related questions
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