[None of these] The marked price of a Pant and a T-Shirt are in the ratio of 2 : 3. The shopkeeper gives 40% discoun

For Competitive Exams

The marked price of a Pant and a T-Shirt are in the ratio of 2 : 3. The shopkeeper gives 40% discount on the Pant. If the total discount on the Pant and the T-Shirt is 40% the discount offered on the T-Shirt is

28 $\dfrac{1}{3}$%

18 $\dfrac{2}{3}$%

26 $\dfrac{2}{3}$%

None of these

Explanation:

Let the marked price of the pant be Rs. 200.

Then marked price of T-Shirt will be Rs. 300.

Discounted price of Pant = 200 × 60/100 = Rs. 120
Let the discounted price of T- Shirt be x.

According to the question,
120 + x = 60/100× (200 + 300)
or, 120 + x = 300
or, x = 180

Discounted offered on the T - Shirt
= 300 – 180/300 × 100 = 40%

Note: If overall discount is 40% and discount on one part is also 40% then naturally the discount on the second part is also 40%.

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