A shopkeeper purchased a TV whose marked price is 16,000 from a dealer

A shopkeeper purchased a TV whose marked price is 16,000 from a dealer at two successive discounts of 20% and then 10%. The shopkeeper spent Rs. 480 for transportation of T.V. If he sold the T.V. for Rs. 15,000, his gain percentage is

  1. 30
  2. 25
  3. 20
  4. 15
Anurag Mishra Professor Asked on 19th April 2016 in Maths.
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1 Answer(s)

Answer: (3) 20

Solution:-
The marked price of a T.V. = Rs.16,000

Two successive discounts of 20% and 10% = 20 + 10 – 20 x 10/100
= 30 – 2
= 28%

Then, selling price of a T.V. set = 16,000 – 16,000 x 28/100
= 16,000 – 4480
= 11,520

The shopkeeper spent Rs.480 for transportation of T.V.
Then, the cost price of a T.V. set = 11,520 + 480
= Rs.12,000

The shopkeeper sold T.V. set = 15,000
Then, the gain = 15,000 – 12,000
= Rs.3,000

Then, the percentage of gain = 3,000 x 100/15,000
= 20%

Hence, the correct answer is option (3) 20.

Anurag Mishra Professor Answered on 20th April 2016.
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