Three partners shared the profit in a business in the ratio 5 : 8 : 7. They had partnered for 14 months, 7 months and 8 months respectively. What was the ratio of their investments?
Explanation:
Let their investments be Rs. x for 14 months, Rs. y for 7 months and Rs. z for 8 months respectively.
We know, Profit ∝ Investment × Time
Hence, ratio of their profit, 5 : 8 : 7 = 14x : 7y : 8z.
Now, 14x/7y = 5/8 ⇒ y = 16/5 x
And, 14x/8z = 5/7 ⇒ z = 49/20 x
∴ x ∶ y ∶ z = x ∶ 16/5 x ∶ 49/20 x = 20 ∶ 64 ∶ 49
Alternately,
We know, ratio of their profit, 5 : 8 : 7 = 14x : 7y : 8z.
⇒ x : y : z = 514:87:78= 56×514:56×87:56×78 = 20 : 64 : 49
Hence, option (c).
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