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A woman sells 78 pencils and gets a profit equal to the selling price of 13 pencils. Her profit percentage is:
Question

A woman sells 78 pencils and gets a profit equal to the selling price of 13 pencils. Her profit percentage is:

A.

17

B.

9

C.

20

D.

19

Correct option is C

Given:

Number of pencils sold = 78
Profit = Selling Price of 13 pencils

Formula Used:

Profit % =(ProfitCost Price)×100 \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100

Solution:

Let the Selling Price (SP) of 1 pencil = ₹1
Then,
Total SP of 78 pencils = ₹78
Profit = ₹13
So, Cost Price (CP) = SP - Profit = ₹78 - ₹13 = ₹65

Now,

Profit % = (1365)×100\left( \frac{13}{65} \right) \times 100

Profit % = 20%

Alternate Method:

Profit = 13 SP

CP = 78 SP - 13 SP = 65 SP

Profit % =(13SP65SP)×100\left( \frac{13 SP}{65SP} \right) \times 100 = 20%

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