Question

After allowing 25% discount on marked price of a computer an 15% tax was levied on it . If the price become 17,265. How much discount was given?

A. 20%
B. 25%
C. 30%
D. 35%

Answer 1

The amount of discount given was $5,000.

Step-by-step explanation:

Let's solve this problem step by step:

1. Let the original marked price of the computer be P.
2. After a 25% discount, the price becomes 0.75P.
3. After a 15% tax is levied, the final price becomes 1.15 times the discounted price: 1.15 * 0.75P.
4. We are given that the final price is $17,265, so we can set up the equation: 1.15 * 0.75P = 17,265.
5. Simplifying the equation, we find P = 20,000.
6. To find the amount of discount, we can subtract the discounted price from the original price: P - 0.75P = 0.25P.
7. Substituting the value of P, we find the discount to be $5,000.

Therefore, the amount of discount given was $5,000.