Question : Allowing 10% and 13% successive discounts, the selling price of an article becomes Rs. 14094. The marked price is:
Option 1: Rs. 19000
Option 2: Rs. 20090
Option 3: Rs. 18000
Option 4: Rs. 16200
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Correct Answer: Rs. 18000
Solution : Let the marked price as $M$. Given that the selling price after a 10% discount is 0.9$M$, and the selling price after a further 13% discount is 0.87 × 0.9$M$. ⇒ 0.87 × 0.9$M$ = 14094 ⇒ $M$ = Rs. 18000 Hence, the correct answer is Rs. 18000.
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