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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