# 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

- 30
- 25
- 20
- 15

**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.