She sells crayon boxes at ₹ 50 per box with a profit margin of 25%. How much did Shambhavi buy them from the wholesaler? Class 8

She sells crayon boxes at ₹ 50 per box with a profit margin of 25%. How much did Shambhavi buy them from the wholesaler? Class 8

Question 1.

She sells crayon boxes at ₹ 50 per box with a profit margin of 25%. How much did Shambhavi buy them from the wholesaler? Class 8

Solution:

Let C.P. be ₹ x.

So, profit = 25% of ₹ x

= [latex]\frac{25}{100}[/latex] × ₹ x = ₹[latex]\frac{x}{4}[/latex]

So, S.P. = x + [latex]\frac{x}{4}[/latex] = [latex]\frac{4x}{4}[/latex] + [latex]\frac{x}{4}[/latex] = [latex]\frac{5x}{4}[/latex]

Hence, [latex]\frac{5x}{4}[/latex] = 50 or x = [latex]\frac{4 \times 50}{5}[/latex] = 40

So, C.P. = ₹ 40.

Question 2.

Could we have just calculated the loss percentage per kg instead? Would it be the same? Class 8

Solution:

Yes. For example,

C.P. of 1 kg = ₹ 35

S.P. of 1 kg = ₹ 300 ÷ 10

= ₹ 30.

S.P. < C.P.

So, loss = 35 - 30 = ₹ 5.

Loss percentage = [latex]\frac{5}{35} \times \frac{100}{100}[/latex]%

= 14.28 %

Yes, it is the same.