An oven has a marked price of ₹12,000. It is sold with two successive discounts. If the second discount is 20% and the final selling price is ₹8,400, what is the percentage of the first discount?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 12.5%.
Marked price = 12000
Let first discount = x%
Price after first discount = 12000(1 – x/100)
After 20% second discount: SP = 12000 × (1 – x/100) × 0.8 = 8400
⇒ 9600 × (1 – x/100) = 8400
⇒ 1 – x/100 = 8400/9600 = 0.875
⇒ x/100 = 1 - 0.875 = 0.125
⇒ x = 12.5%