Question

Sona bought a car at some discount. If he sold it to Iyer at a 20% discount on the marked price, but still managed to make 25% profit, at what discount had Sona bought the car?
A. 45%
B. 42.5%
C. 22.5%
D. 36%

pls send with explanation and no spam

Answer 1

Given info : Sona bought a car at some discount. if he sold it to Iyer at a 20%  discount on the marked price, but still managed to make 25% profit.

To find : at what discount had Sona bought the car ?

solution : we know,

    marked price/cost price = (100 + profit)/(100 - discount)

here profit = 25% and discount = 20%

so, marked price/cost price = (100 + 25)/(100 - 20) = 125/80 = 25/16

so the cost price of car would be 16 if marked price were 25.

here cost price is nothing but the price of car at which Sona bought it.

so, discount gotten by Sona = (MP - CP)/MP × 100 =  (25 - 16)/25 × 100

                                                                                  = 36 %

Hence, Sona bought the car at 36% discount.