The marked price of an article is Rs. 300. It is sold for Rs. 177.84 after giving three successive discounts of 20%, x% and 5%. What is value of x ?
A. 22
B. 18
C. 24
D. 15
Sol:
Given:
Marked price = Rs.300
Three discounts = 20%, x% and 5%
Selling price = Rs.177.84
Calculation:
Discounted price = 300 – 177.84 = Rs.122.16
Single equivalent discount = 100 – 100 × (100 – 20)/100 × (100 – x)/100 × (100 – 5)/100
= 100 – 100 × 80/100 × (100 – x)/100 × 95/100
= 100 – 76 + 0.76x
= 24 + 0.76x
Then,
⇒ 122.16 = 300 × (24 + 0.76x)/100
⇒ 0.76x = 16.72
⇒ x = 22
∴ The value of x is 22.
