The original price of an item is discounted 20%. A customer buys the item at this discounted price using a $20-off coupo

Question

The original price of an item is discounted 20%. A customer buys the item at this discounted price using a $20-off coupon. There is no tax on the item, and this was the only item the customer bought. If the customer paid $1.90 more than half the original price of the item, what was the original price of the item?  
    
(A) $61  
    
(B) $65  
    
(C) $67.40  
    
(D) $70  
    
(E) $73  
    
#examsQ/A

Vijaya Lakshmi K · Answer

Hello Anam,

The answer is option E.
Let the original price be x.

According to the question, the store sells the item at a 20% discount. Therefore, the item costs the customer 0.8x

After using the $20 discount, the customer actually pays: 0.8x - 20

As he pays $1.9 more than half the original price, he pays: 0.5x + 1.9

So setting these two equations equal, we come up with: 0.8x - 20 = 0.5x +1.9

This we have to solve for x till we come up with: 0.3x = 21.9
x = 73
Therefore original price of the item will be $73

Hope this helps.

The original price of an item is discounted 20%. A customer buys the item at this discounted price using a $20-off coupo

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