The marked price of a washing machine is Rs.18,725. A dealer allows two successive discounts of 20% and x% on the marked price and sells it for Rs.14,231. What is the value of x ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 5.
Selling price = Market price (1 - Discount1 %) (1 - Discount2 %)
14,231 = 18725 ( 1 - 20%) (1 - x%)
⇒ 14,231 = 18,725 (1 - 20/100) (1 - x/100)
⇒ 14231 = 18725 (80/100) (100 - x/100)
⇒ 14231 = 18725 × (4/5) × [(100 - x)/100]
⇒ 14231 = 14980 × (100 - x)/100
⇒ 14231 × 100 = 1498000 - 14980x
⇒ 1423100 - 1498000 = - 14980x
⇒ 74900 = 14980x
⇒ 5 = x