Question

A T-Shirt was offered at a discount of 20% by a GAP showroom owner. An additional amount of x% is also charged on the amount which is given as discount and sold the Shirt for Rs. 1171.5. He sold the same T-Shirt for Rs. 1349 after offering a discount of 5%. What is the value of x?

1. 10%
2. 8%
3. 12%
4. 12.5%

Answer 1

Correct Answer - Option 4 : 12.5%

Given:

SP of the T-Shirt after extra charge = Rs. 1171.

T-Shirt sold for Rs. 1349 after a discount of 5% is given.

Formula Used:

Discount = Marked Price – Selling Price

Discount Percentage = (Discount/Marked price) x 100

Calculation:

Let the MP of the T-Shirt be Rs. y and additional charge be x%

SP of the T-Shirt = Rs. 0.8y

Discount = Rs. 0.2y

Extra charge = x% of 0.2y

SP of the T-Shirt after extra charge = 0.8y + x% of 0.2y

⇒ 0.8y + x% of 0.2y = 1171.5

Now, MP of the T-Shirt y = 1349/0.95

⇒ Rs 1420

0.8 × 1420 + x% of 0.2 × 1420

⇒ 1171.5

1136 + x % of 284 = 1171.5

⇒ x% of 284 = 35.5

⇒ x = 12.5%

∴ The value of x is 12.5%