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 :

  1. 7th

  2. 10th

  3. 8th

  4. 6th

Show Answer

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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