A merchant sells a radio for $80, thereby making a profit of 25% of

Question

A merchant sells a radio for $80, thereby making a profit of 25% of the cost. What is the ratio of cost to selling price?

(A) 4/5
(B) 3/4
(C) 5/6
(D) 2/3
(E) 3/5

DavidTutorexamPAL · Accepted Answer

As all we're asked for is the ratio, we won't bother calculating the exact number.
This is a Logical approach.

If the cost was 100% and after the sale a profit of 25% was made, then the selling price is 125%.
So our ratio is 100%/125% = 4/5.

(A) is our answer.

varun4s · Answer

Cost of radio= 80* \frac{100}{125} = $64

Ratio of Cost to Selling Price=  \frac{64}{80} =  \frac{4}{5}

Answer: A.

Abhishek009 · Answer

Let CP = 100 & SP = 125

So, ratio of cost to selling price =  \frac{100}{125} = \frac{4}{5} , Answer must be (A)

ScottTargetTestPrep · Answer

We can create the following equation:

80 - c = 0.25c

80 = 1.25c

64 = c

The ratio of cost to selling price is 64/80 = 8/10 = 4/5.

Answer: A

AnkithaSrinivas · Answer

(s-c)/c*100=25
divide by s 
ans=4/5

MathRevolution · Answer

C.P. : 80

S.P. :  80 * \frac{125}{100} = 100

Ratio:  \frac{80}{100}= \frac{4}{5}

Answer A

AnishPatel · Answer

Profit = 25% of cost → means Selling Price = 125% of cost
So, Cost : Selling Price=100:125
Simplify ---> 4:5.

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