Question

The SP of 15 articles is equal to the cost price of 12 articles find the gain or loss as percent.

Answer 1

The major formulas are as follows :

• PROFIT = S. P. - C. P.

• LOSS = C. P. - S. P.

• PROFIT% = (PROFIT/CP)×100

• LOSS% = (LOSS/CP)×100

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$\bold{\huge{SOLUTION \: :}}$
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S.P. of 15 articles = C.P. of 12 articles

=> S. P. / C. P. = 12/15

Let, S. P. of those articles be 12 x and C. P. Of those articles be 15 x

Then, C. P. > S. P.

So, Loss = ₹ (15x - 12x) = ₹ 3x

Loss % = {(3x/15x)×100} % = 20%

Answer 2

Answer : 20%

Step-by-step explanation :

Let SP of 1 article be Rs 100

Then SP of such 15 articles will be

= Rs 100 × 15

= Rs 1,500

According to question,

SP of 15 articles = CP of 12 articles

Rs 1500 = CP of 12 articles

Rs 1500/12 = CP of 1 article

Rs 125 = CP of 1 article.

This means that, CP > SP

Thefore, Loss = CP - SP

Loss = Rs 125 - Rs 100 = Rs 25

Loss % = Loss/CP × 100

Loss % = 25/125 × 100

Loss % = 20