Question : If two successive discounts, each of 20% on the marked price of an article, are equal to a single discount of INR 331.20, then the marked price (in INR) of the article is:
Option 1: 920
Option 2: 750
Option 3: 1,200
Option 4: 645
Correct Answer: 920
Solution :
Each discount = 20%
Single discount = INR 331.20
Let the marked price be INR $x$.
1st discount at the marked price = (100 – 20)% of $x$ = 80% of $x$ = $\frac{80}{100}$ × $x$ = 0.8$x$
2nd discount = (100 – 20)% of 0.8$x$ = 80% of 0.8$x$ = $\frac{80}{100}$ × 0.8$x$ = 0.8 × 0.8$x$ = 0.64$x$
Equivalent discount = $x$ – 0.64$x$
⇒ 331.20 = 0.36$x$
⇒ $x$ = $\frac{331.20}{0.36}$
$\therefore$ $x$ = INR 920
Hence, the correct answer is 920.
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