Question

A spare parts scller increases the price of an article by 20% on its cost price and then offers a
discount of 15%. By doing this if he obtains a profit of $50, then what will be the cost price of the
antice for the seller?​

Answer 1

The given question is A spare parts seller increases the price of an article by 20% on its cost price and then offers a discount of 15%. By doing this if he obtains a profit of $50.

we have to find out what will be the cost price of the

article for the seller.

The solution to this problem is obtained by the following steps.

There is an increase in CP of 20% =

$\frac{20x}{100}$

Therefore, the new CP is

$x + \frac{20x}{100} = \frac{120x}{100}$

The discount % is = 15% on new CP.

The discount is

$\frac{15}{100} \times \frac{120x}{100}$

$= \frac{18x}{100}$

The formula of the selling price is

new CP - Discount

SP =

$\frac{120x}{100} - \frac{18}{100}$

$sp = \frac{102x}{100}$

Now,

profit = SP-CP

The profit is given as $50.

$50 = \frac{102x}{100} - x \\ 50 = \frac{2x}{100} \\ x = (50)(100) \div 2 \\ x = (50) \times (50) = 2500$

The value of x obtained is 2500.

Therefore, the final answer to the given question is 2500.

Hence, the cost price of the

article for the seller is found to be 2500.

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