A discount of 20 percent followed by a discount of 40 percent is equi

Question

A discount of 20 percent followed by a discount of 40 percent is equivalent to a single discount of

(A) 48%
(B) 52%
(C) 56%
(D) 60%
(E) 68%

GMATNinja · Answer

Check out question 2 in the video below for the solution:

https://www.youtube.com/watch?v=CkJ_uEVXkAk&t=981s

Abhishek009 · Answer

-20-40+\frac{(-20)(-40)}{100}=-60+8 = 52 , Answer will be (B)

saynchalk · Answer

Hi Abhishek,

I really like the solution you've used, can you please explain the method a little further?

tanvi0915 · Answer

Suppose an item cost $100 first we get a discount of 20% which will lower the price of the item to $80 i.e. $20 discount and then we get additional 40% discount on $80 which will give us a further discount of $32 that gets us in total a discount of 20 + 32 = $52. For 100 dollars getting a discount of 52 dollars means total discount of 52% received.

A discount of 20 percent followed by a discount of 40 percent is equi

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A discount of 20 percent followed by a discount of 40 percent is equi