# Basic Math MCQ 8 (percent price decrease, cost and actual cost)

MCQ 8: After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?

a) 1400                   b) 1300                 c) 1200                 d) 1100

Solution:

Let the actual price is ‘x’ Rs

24% of ‘x’

$=\frac{24}{100} \times x$

New price ​$$=x-\frac{24}{100} \times x$$

$$=\frac{100x – 24 x}{100}=\frac{76x}{100}$$

So after decrease in price the cost of the article is ​$$\frac{76x}{100}$$​. But cost of the article after decrease in price is given as Rs 912. So both should be equal;

i-e

$\frac{76x}{100}=912$

We get

$x= \frac { 912\times100}{76}=1200$

So the actual price or initial price of the article is RS 1200

Hence option c is correct

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