# CAT Practice : Percents, Profits

Profit Percentage

## Profit Percent

Q.19: Ram sells onions in the streets of Chandni Chowk. Due to recent shortfall in the supply of onions, he doubles his selling price despite the cost price remains same for him due to a fixed price contract. He realizes that his profit have tripled. Find the original profit percent.
1. ${\frac{200}{3}}$%
2. 100%
3. 120%
4. ${105 * \frac{1}{3}}$%

Choice B. 100%

## Detailed Solution

Let the C.P. be x and S.P. be y

∴ Given,

3(y-x) = 2y – x

=) 3y – 3x = 2y – x

=) y = 2x

Original profit = Rs y – x

= Rs 2x – x (Since, y = 2x)

= Rs x

∴ Original profit % = ${\frac{x}{x} * 100} %$

= 100 %

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