Question

If S.P of 10 pencils is equal to C.P of 12 pencils, find the gain %.

Answer 1

Solutions :-


Given :

S.P of 10 pencils is equal to C.P of 12 pencils.


Find the LCM of 10 and 12 :-

LCM of 10 and 12 = 60


Therefore,
Selling price of 10 pencils = Rs 60
Selling price of 1 pencil = Rs 60/10 = Rs 6

Cost Price of 12 pencils = Rs 60
Cost Price of 1 pencil = Rs 60/12 = Rs 5


Selling price is greater than the Cost price. Therefore, Gain.

Gain = S.P - C.P
= Rs (6 - 5)
= Rs 1

Gain % = (gain × 100)/C.P %
= (1 × 100)/5 %
= 100/5 %
= 20 %


Hence,
Gain Percent = 20%