Question

Megha sells books at a 20% discount and still makes a profit of 15%. What did she pay for a book where the marked price was Rs.115?
1. Rs. 80
2. Rs. 88
3. Rs. 85
4. Rs. 77

Answer 1

Correct Answer - Option 1 : Rs. 80

Given:

 20% discount on the book and still makes a profit of 15%.

Formula used:

Selling price = {(100 - discount %)/100} × marked price

Selling price = {(100 + Profit %)/100} × Cost price

Calculation:

According to question,

Selling price = {(100 - discount %)/100} × marked price

SP = {(100 - 20)/100} × 115

⇒ SP = {80/100} × 115      ---(1)

Selling price = {(100 + Profit %)/100} × Cost price

SP = {(100 + 15)/100} × CP

⇒ SP = {115/100} × CP      ---(2)

Now, (1) = (2)

⇒ {80/100} × 115 = {115/100} × CP  

⇒ CP = 80.

∴ Megha paid Rs. 80 for a book .