Question:
If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should be given on the printed price so that she can make the same amount of profit?
If Fatima sells 60 identical toys at a 40% discount on the printed price, then she makes 20% profit. Ten of these toys are destroyed in fire. While selling the rest, how much discount should be given on the printed price so that she can make the same amount of profit?
Updated On: Sep 26, 2024
- 30%
- 25%
- 24%
- 28%
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The Correct Option is D
Solution and Explanation
Let the printed price be p. If a 40% discount is given, the selling price is \(0.6(60p) = 36p\).
In order to make a profit of 20%, the selling price should be 1.2 times the total cost price, which is \(\frac{36p}{1.2} = 30p. \)
Ten toys are destroyed in the fire. The remaining toys are sold at a price such that the same amount of profit is made as in the conditional case.
The profit made on the remaining toys is 6p. The total selling price of the remaining toys is 36p.
The discount that should be given is \(50p – 36p = 14p. \)
The discount percentage is \(28\%.\)
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