Question : An article is sold for INR 864 after two successive equal discounts of 25% each on its marked price. What is the discount (in INR)?
Option 1: 698
Option 2: 612
Option 3: 584
Option 4: 672
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Correct Answer: 672
Solution :
Here Marked price is denoted by MP, selling price is denoted by SP.
Given: SP = INR 864
Discount = 25% each
Let the MP be $x$
According to the question,
$x×\frac{100-25}{100}×\frac{100-25}{100}=864$
⇒ $x×\frac{75}{100}×\frac{75}{100}=864$
⇒ $\frac{9x}{16}=864$
⇒ $x=1536$
We know that, Discount = MP – SP = 1536 – 864 = INR 672
Hence, the correct answer is 672.
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