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?
Answers & Comments
The correct answer is 28%
Let the printed price of a toy be Rs. 100
Selling price after 40 % discount = Rs. 60
Further given,
60 × 60 = 1.2 × 60 × c
where c is the cost price of a toy.
c = Rs. 50
Profit = 60 × 60 − 50 × 60 = 600
Let the new selling price be Rs. s/toy after 10 toys were destroyed in fire. In order to maintain the same amount of profit, we have
=> 600 = 50 × s − 60 × 50 = 50 × s - 3000
=> 50 × s = 3600
=> s = Rs. 72
Hence, revised discount = 100−72=28%
Let the printed price of a toy be Rs. 100
Selling price after 40 % discount = Rs. 60
Further given,
60×60=1.2×60×c
where c is the cost price of a toy.
c = Rs. 50
Profit = 60×60−50×60=600
Let the new selling price be Rs. s/toy after 10 toys were destroyed in fire. In order to maintain the same amount of profit, we have
600=50×s−60×50=50×s−300050×s=3600
s=R ls.72
Hence, revised discount =100−72=28%