Question 53

The cost price of 33 books is the same as the selling price of ‘x’ books. If the profit is 10%, then the value of ‘x’ is :

Solution

Let the cost price of 33 books = C

Cost price of 1 book = $$\frac{C}{33}$$

Profit% = 10%

$$=$$> Selling price of 1 book = $$\frac{110}{100}\times\frac{C}{33}=\frac{C}{30}$$

According to the problem,

Selling price of '$$x$$' books = C

Selling price of 1 book = $$\frac{C}{x}$$

$$=$$> $$\frac{C}{x}=\frac{C}{30}$$

$$=$$> $$x=30$$

Hence, the correct answer is Option A

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