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If the cost price of 30 books is same as the selling price of 20 books, then the gain percentage is:
Question

If the cost price of 30 books is same as the selling price of 20 books, then the gain percentage is:

A.

50%

B.

40%

C.

15%

D.

25%

Correct option is A

Given:

Cost Price of 30 books (CP of 30) = Selling Price of 20 books (SP of 20)

Concept Used:

Gain = Selling Price (SP) - Cost Price (CP)

Gain Percentage =Gain  CP \frac{\text{Gain }}{\text{ CP}}​ × 100

Solution:

Let the Cost Price of 1 book be ₹C and the Selling Price of 1 book be ₹S.

Given: 30C = 20S

3C = 2S

S = 32\frac 32​C

Gain per book = S - C = 32\frac 32​C - C = 12\frac 12​C

Gain Percentage = 12CC\frac {\frac 12C}{C}​ × 100

Gain Percentage = 12\frac 12​ × 100

Gain Percentage = 50%

Alternate Method:

30 CP = 20 SP

CPSP=2030\frac{CP}{SP} =\frac{20}{30}

Profit = 30 - 20 =10

Profit % =1020×100=50%\frac{10}{20}\times 100=50\%​​

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