The difference between a discount of 25% and two successive discounts of 15% and 20% on a certain bill was ₹28. Find the amount of the bill.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. ₹400.
The original amount of the bill = ( x).
A 25% discount means the customer pays 75% of the original price.
Price after 25% discount = x × (1 - 0.25) = 0.75x
The first discount of 15% means the customer pays 85% of the original price.
Price after 15% discount = x × (1 - 0.15) = 0.85x
Price after 20% discount = 0.85x × (1 - 0.20) = 0.85x × 0.80 = 0.68x
Difference = 0.75x - 0.68x = 0.07x
this difference is ₹28.
⇒ 0.07x = 28
⇒ x = 28 / 0.07 = 400
The amount of the bill is ₹400.