Pankaj bought a chair with 21% discount on the marked price. Had he bought it with 23% discount, then he would have save Rs. 70. At what price (in Rs) did Pankaj bought the chair?
Pankaj bought a chair with 21% discount on the marked price. Had he bought it with 23% discount, then he would have save Rs. 70. At what price (in Rs) did Pankaj bought the chair? Correct Answer 2765
Given:
If he had bought for 23% discount instead of 21%, he would have saved Rs. 70
Formula used:
Selling price = Marked price × (100 - D%)/100
Calculation:
Let the market price of a chair be Rs.m.
First discount = 21%
Price after first discount
= m - m × (21/100)
= 79m/100
New discount = 23%
Price after new discount
= m - m × (23/100)
= 77m/100
According to the question
⇒ 79m/100 - 77m/100 = 70
⇒ 2m/100 = 70
⇒ m = 3500
Pankaj bought a chair after 21% discount = 3500 × (100 - 21)/100
⇒ Pankaj bought a chair at 35 × 79
∴ Pankaj bought the chair at Rs. 2765.
70 = (23 - 21)% of m
⇒ m = 70 × 100/2
⇒ m = 3500
Pankaj bought a chair after 21% discount = 3500 × (100 - 21)/100
⇒ Pankaj bought a chair at 35 × 79
∴ Pankaj bought the chair at Rs. 2765.