A shopkeeper either offers two successive discounts of 10% and 20% or 15% and 15%. If the difference between the two selling prices is Rs. 2 then what is the marked price?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Rs. 800.
Let the marked price be 100x
First scenario,
⇒ 20 + 10 - (20 × 10)/100
⇒ 28% discount
Selling price = 100x × 72/100
⇒ 72x
Second scenario,
⇒ 15 + 15 - (15 × 15)/100
⇒ 27.75
Selling price = 100x × 72.25/100
⇒ 72.25x
⇒ 72.25x - 72x = 2
⇒ x/4 = 2 ⇔ x = 8
⇒ 100(8) = Rs. 800