The difference between a discount of 25% and two successive discounts of 15% and 10% on a certain bill was Rs.25. Find the amount of the bill.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Rs.1,666.67.
Concept used:
One single discount of two successive discount of x and y = x + y - xy/100
Calculations:
Let the bill be 100x.
Equivalent discount of 15% and 10% = 15 + 10 - 150/100
⇒ 25 - 1.5 = 23.5%
Discount = 23.5x
Single discount of 25% gives a discount of 25x
According to the question;
⇒ 25x - 23.5x = 25
⇒ 1.5x = 25
⇒ x = 16.6666
Required amount of bill = 100x
⇒ 100 × 16.666 = 1666.67