Question

a shopkeeper recovers the cost of 110 pencils on selling 100 pencils find gain or loss per cent

Answer 1

Answer:

Let x be the c.p of 100 pencils

so cp of 1 pencil = x/100

=> cp of 110 pencils = 11x/10

Next, sp of 100 pencils = cp of 110

=> sp of 100 pencils = 11x/10=1.1x

since cp of 100 pencils = x

[We know gain = sp-cp and loss = cp-sp]

here, as sp of 100 > cp of 100

so gain happens.

Gain = 11x/10-x = x/10 rupees

=> on x the gain is x/10

on 1 gain = 1/10

so, on 100 gain = 10% (ans)