The selling price of 12 pens is equal to the cost price of 15 pens. The gain percent will be ____%.

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Detailed Solution

The selling price of 12 pens is equal to the cost price of 15 pens. The gain percent will be 25%.
Given that, the selling price of 12 pens is equal to the cost price of 15 pens.
We have the following formula:
S.P=selling price.
C.P=cost price.
Gain=S.P-C.P

G a i n % = S . P − C . P C . P × 100

Loss=C.P-S.P

L o s s % = C . P − S . P C . P × 100

Let the C.P of one pen be Re.1. So, the C.P of 15 pen be Rs.15 and the C.P of 12 pen be Rs.12.
Therefore, S.P. of 12 pens is Rs.15.
The gain in percent is,

= 15 − 12 12 × 100 = 312 × 100 = 14 × 100 = 25 %

Hence, the answer is 25%.

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