Profit from laddoos

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A sweetshop owner sells a laddoo (spherical sweet) for INR 2. Next day, he makes laddoos with twice the radius. For what price (in INR) should he sell this laddoo to earn the same profit percentage as the day before?

INR - Indian Rupee, Currency of India


The answer is 16.

Shabarish Ch by Shabarish Ch , 22, India

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1 solution

Võ Trọng
Jan 24, 2014

See a laddoo as a sphere. We have a volume of the first laddoo is 1 3 π r 3 \frac{1}{3}\pi r^{3} sells for INR 2 (1)

Since the second laddo has r ′ = 2 r r'=2r so It has a volume 1 3 π r ′ 3 = 8 × 1 3 π r 3 \frac{1}{3}\pi r'^{3}=8\times \frac{1}{3}\pi r^{3} (1)

From (1) and (2), we have price of the second laddo is 8 × 2 = 16 8 \times 2 =16

0 Helpful 0 Interesting 0 Brilliant 0 Confused

There is a small error in your solution, but it does not impact the answer in any way. The correct formula for volume of a sphere is \­( \frac{4}{3} pi r^{3} \­), and not \­(\frac{1}{3} pi r^{3}\­) as you have written in your solution.

Shabarish Ch - 7 years, 3 months ago

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