Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Profit and Loss

Question:

A women marks her goods 25% above the cost price. She sells 25% of the goods at market price, 60% of the goods at 25% discount and the remaining at 10% discount. What is her overall gain or loss percent?

Options:

4.375% Profit 

18.175% loss

10% loss

10% profit

Correct Answer:

4.375% Profit 

Explanation:

Assuming the number of goods be 20,

and using the ratio to calculate CP, MP, SP

                              CP   :  MP  :  SP₁   :  SP₂

+25%(up)                  4    :   5

-25%(discount)                    4   :    3

-10%(discount)                              10   :    9     

                              16    :  20  :    15   :  18

 

ATQ,

Total CP = 20 x 16 = 320

1st: No. of article sold at M.P. = 25% of 20 = 5

2nd: No. of articles sold at 25% discount = 60% of 20 = 12

3rd: No. of remaining articles sold at 10% discount = 20 - 5 - 12 = 3

Total SP = (5 x MP) + (12 x SP₁) + (3 x SP₂) = (5 x 20) + (12 x 15) + (3 x 18) = (100 + 180 + 54) = 334

CP  :  SP    :  Gain

320 : 334   :   14

Gain% = \(\frac{14}{320}\) x 100 = 4.375%