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Question
A shopkeeper gives 11% discount on a television set, hence the cost price of it is Rs. 22,250. Then find the marked price of the television set.
Solution
Let the marked price of the television set be Rs x.
Discount percent on the television set = 11%
If the marked price of the television set was Rs 100, then the customer would have paid (Rs 100 − Rs 11) Rs 89 for the television set.
It is given that cost price of the television set to the customer is Rs 22,250.
∴ \[\frac{89}{100} = \frac{22250}{x}\]
⇒ \[x = 22250 \times \frac{100}{89}\]
= Rs. 25,000
Thus, the marked price of the television set is Rs 25,000.
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