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Bunuel
A retailer sold toys at a regular selling price of 25% greater than the retailer’s cost to buy the toys. If the retailer reduces the regular selling price by 80%, what is then the loss on each toy sold as a percent of the retailer’s cost?

(A) 25%
(B) 30%
(C) 40%
(D) 75%
(E) 80%



1. Normal case:
let cost price be the 100 $
As per the question selling price must be = 125.................................................(sold toys at 25% profit)

2. Situation after the reduction of Selling price :

cost price = 100.........................no change is occurred here
Selling price = 25 .........................As it's mentioned that selling price is reduced by 80% (125*20%)=125*(20/100) =25

Loss=cp-sp
= 100- 25
=75

Thus loss is 75%.

The best answer is D.
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CP = 100 => regular SP = 100 + 0.25*100 = 125

New SP = 20% of regular SP => 0.2*125 = 25

Loss = 100-25 = 75

Loss Percent = 75%

Answer : D
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EgmatQuantExpert

Solution



Given:
    • Retailer sold toys at a regular selling price of 25% greater than his cost

To find:
    • The loss percentage of the retailer, if he reduces the regular selling price by 80%

Approach and Working:
If we assume the cost for the retailer to be x, then we can say
    • The regular selling price = 1.25x

As the retailer reduces the regular selling price by 80%,
    • The new selling price after the reduction = 1.25x * 0.2 = 0.25x

Therefore, after reduction in price,
    • Cost to the retailer = x
    • Selling price for the retailer = 0.25x
    • Loss percentage = \(\frac{(x – 0.25x)}{x} * 100\)= 75%

Hence, the correct answer is option D.

Answer: D

HI EgmatQuantExpert,

I'm bit confused here if As the retailer reduces the regular selling price by 80%,

why not The new selling price after the reduction = 1.25x * 0.8 ?
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NandishSS

HI EgmatQuantExpert,

I'm bit confused here if As the retailer reduces the regular selling price by 80%,

why not The new selling price after the reduction = 1.25x * 0.8 ?

Hey NandishSS,
Let us take an example to understand it better.
Assume that the value of an article was originally A.
if we reduce the article's value by 40%,
then the value after reduction = A - 40% of A = 60% of A = 0.6A

similarly, if the retailer reduces the regular selling price by 80%,
then the new selling price = previous selling price - 80% of previous selling price = 20% of previous selling price = 0.2 * previous selling price

Hope this clarifies your doubt. :-)
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Bunuel
A retailer sold toys at a regular selling price of 25% greater than the retailer’s cost to buy the toys. If the retailer reduces the regular selling price by 80%, what is then the loss on each toy sold as a percent of the retailer’s cost?

(A) 25%
(B) 30%
(C) 40%
(D) 75%
(E) 80%


We can let cost = c and thus revenue = 1.25c

If the regular selling price is reduced by 80%, the new revenue is 0.2 x 1.25c = 0.25c.

So the loss is c - 0.25c = 0.75c.

Thus, the loss is 75% of the cost.

Answer: D
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Bunuel
A retailer sold toys at a regular selling price of 25% greater than the retailer’s cost to buy the toys. If the retailer reduces the regular selling price by 80%, what is then the loss on each toy sold as a percent of the retailer’s cost?

(A) 25%
(B) 30%
(C) 40%
(D) 75%
(E) 80%
Let, \(C = 100\) , \(S_r = 125\) & \(S_n = 25\)

Then Loss is 75% , Answer must be (D)
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