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?
Explanation:
Let the printed price be p.
If 40% discount is given, selling price = 0.6 × 60p = 36 p
20% profit is then made.
Total cost price = 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.
Profit made on remaining toys = 6p
Total selling price of remaining toys = 36p
Discount that should be given = 50p – 36p = 14p
Discount% = 14p50p×100% = 28%
Hence, option (d).
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