After offering two successive discounts a toy with a marked price of ₹150 is sold at ₹105. If the value of the first discount is 12.5%, what is the value of the second discount?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 20%.
⇒ First discount = 12.5% of ₹150 = (12.5/100) × 150 = ₹18.75
⇒ Price after first discount = ₹150 - ₹18.75 = ₹131.25
Calculate the second discount:
Let the second discount be 'x'%.
Price after second discount = ₹105
⇒ Price after second discount = (100 - x)% of ₹131.25 = ₹105
Set up the equation:
⇒ (100 - x)/100 × 131.25 = 105
Solve for 'x':
⇒ 100 - x = (105 × 100) / 131.25 100 - x = 80 x = 20
Therefore, the value of the second discount is 20%.