Q: The price of silver-biscuit is precisely proportionate to its weight squared. A guy lost Rs 4620 after breaking down the silver cookie in the ratio of 3: 2: 1. Determine the starting value of silver-biscuit.

A 7520
B 7530
C 7450
D 7560
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Answer: D


Given ratio = 3: 2: 1
Or, 3x: 2x: x
The initial price= (6x)2 = 36x2
After broke down the price = (3x)2: (2x)2: x2 = 9x2: 4x2: x2 = 14x2
After breakdown, a loss of Rs. 4620 occurs.
i.e., loss = initial price - final price
Loss = 36x2 - 14x2 = 22x2
22x2 = 4620
Or, x2 =4620/22 = 210
The initial price of silver-biscuit = 36*210 = 7560

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Ratio and Proportion

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