Question
There are fifteen successive percentage discounts given in a series of 2%, 4%, 6%, 8% _____ on an item. After how many such percentage discounts in succession will the effective discount be higher than 50%?
Options :
7th
10th
8th
6th
Answer :
8th
Solution :
Let the price is, 100
By calculating the successive consecutive discounts-
2% discount
Price = 100 – 2% = 98
4% discount
Price = 98 – 4% = 94.08
6% discount
Price = 94.08 – 6% = 88.44
8% discount
Price = 88.44 – 8% = 81.36
10% discount
Price = 81.36 – 10% = 73.22
12% discount
Price = 73.22 – 12% = 64.43
14% discount
Price = 64.43 – 14% = 55.41
16% discount
Price = 55.41 – 16% = 46.54
Hence, price will become less than 50% after the discount of 16%, and the discount will be more than 50%. 16% is the 8th discount.
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