An article is sold for ₹864 after two successive equal discounts of 25% each on its marked price. What is the discount (in ₹)?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 672
Let the marked price be x.
Two successive 25% discounts mean the final price is:
= x × (1 - 25/100) × (1 - 25/100)
= x × 0.75 × 0.75
= x × 0.5625
This equals ₹864, so:
x × 0.5625 = 864
⇒ x = 864 ÷ 0.5625 = ₹1536
Total discount = Marked Price - Selling Price
= ₹1536 - ₹864 = ₹672