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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.
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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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