The price of an item is discounted 10 percent on day 1 of a sale. On d

Question

The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?

A. 28%
B. 40%
C. 64.8%
D. 70%
E. 72%

A. 28%
B. 40%
C. 64.8%
D. 70%
E. 72%

Lampard42 · Answer

D1= 90%
D2= 90%*.9=81%
D3=81%*.8= 64.8%

D3/D1= 64.8/90=72% IMO E

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KSBGC · Answer

Let the initial price be 100

Day 1 : 100 * 0.9 = 90

Day 2 : 90 * 0.9 = 81

Day 3 : 81 * 0.8 = 64.8.

Required % : (price of day 3 / price of day 1)*100 = (64.8 / 90) * 100 = 72 .

E is the correct answer.

Archit3110 · Answer

intial 100$
day 1= 90$
day 2= 81 $
day 3 = 64.8$
so % of day 3 of day 1= 64.8/90 ; 72%
IMO E

ScottTargetTestPrep · Answer

If n = original price, then with all the discounts, the price of the item is:

n(0.9)(0.9)(0.8) = 0.648n

Thus, the answer is 0.648/0,.9 = 0.72 = 72%

Answer: E

Franzhel · Answer

The question asks for the percentage of the price in day 3 to the price in day 1.
Therefore, if P1 and P3 are the prices of the item in day 1 and 3 respectively, we need to answer P3/P1. We can see that we actually dont care about the price reduction in the first day since the answer will not depend on that. We can just see that between the first and the second day the price was lowered by 10% and then by 20%. Therefore the answer will be 0.9*0.8=72%.

Therefore the option E is the answer. I dont see the reason to do the intermediate steps that other solutions propose. Its just adding math without needing it.

Abhishek009 · Answer

100*\frac{90}{100}*\frac{90}{100}*\frac{80}{100}=64.8

= \frac{64.80}{90}*100

= 72 , Answer must be (E)

Akarsh97 · Answer

For quick calculation we can ignore the first day dicount

Let the effective price on D1 is X
On D2 = 0.9*X
On D3 = 0.8*0.9*X =0.72X

% = (D3/D1)*100 = 72%

vallequalle · Answer

Why would you take the first sale into account? Isnt that unnecessary?

The price of an item is discounted 10 percent on day 1 of a sale. On d

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