Question

Vaidegi sold two sarees for 2200 each. On one she gains 10% and on th
other she loses 12%. Calculate her gain or loss percentage in the sales.​

Answer 1

1.01%......

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Answer 2

Vaidegi loss percentage is 1%

Solution:

According to question, Vaidegi sold two sarees for 2200 each. On one she gains 10% and on the other she loses 12%

Gain of 10% on one saree:

Here cost price = 2200

gain percentage = 10%

$\text { Gain percentage }=\frac{\text { Gain }}{\text { cost Price }} \times 100$

$10=\frac{\text { Gain }}{2200} \times 100$

$\text { So, Gain }=\frac{10 \times 2200}{100}=220$

S.P = C.P + Gain = 2200 + 220 = 2420

Loss of 12% on second saree:

$\text { Loss percentage }=\frac{\text {Loss }}{\text {cost Price}} \times 100$

$12=\frac{L o s s}{2200} \times 100$

$\text { So, Loss }=\frac{12 \times 2200}{100}=264$

S.P = C.P - Loss = 2200 + 264 = 1936

Calculating total C.P and S.P of both sarees:

Total Cost Price = 2200 ×2 = 4400

Total Selling Price = 1936 + 2420 = 4356

Clearly we can see, 4400 >.4356

Since C.P > S.P = loss

We have to calculate loss percentage

$\text { Total Loss } \%=\frac{44}{4400} \times 100=1 \%$

Hence she had a loss of 1%

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