Question

A shopkeeper promise to sell his goods at x% profit but he uses 20% less weight, thus gain 37.5% profit find x

Answer 1

Dear Student,

◆ Answer -

x = 10 %

● Explaination -

Let P be price of original product with appropriate weight.

From given data,

CP = P × (100-80)/100 = 0.8P

SP = P × (100+x)/100 = P (1 + x/100)

Actual profit gain is -

Profit = (SP/CP - 1) × 100

37.5 = [P(1+x/100)/0.8P - 1] × 100

37.5/100 = (1+x/100)/0.8 - 1

1 + 0.375 = (1+x/100) / 0.8

1.375 × 0.8 = 1 + x/100

1.1 = 1 + x/100

x = (1.1 - 1) × 100

x = 10 %

Therefore, value of x is 10 %.

Thanks dear...

Answer 2

Answer:

From given data,

CP = P × (100-80)/100 = 0.8P

SP = P × (100+x)/100 = P (1 + x/100)

Actual profit gain is -

Profit = (SP/CP - 1) × 100

37.5 = [P(1+x/100)/0.8P - 1] × 100

37.5/100 = (1+x/100)/0.8 - 1

1 + 0.375 = (1+x/100) / 0.8

1.375 × 0.8 = 1 + x/100

1.1 = 1 + x/100

x = (1.1 - 1) × 100

x = 10 %

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