Question

a shopkeeper marks his goods at 25% more than their cost price and allows a discount of 10%. Find his gain or lose percent​

Answer 1

$<b>$ Answer :-


For answering such questions here I give you a short cut method -

Gain or loss percent = X + Y +(X×Y)/100

For increase use positive sign and for decrease use negative sign.

So here, X = +25%

And Y = -10% negative as it is discount

Put the values of X and Y in the above formula, if solution is positive it is gain and if it is negative it is loss

=25+(-10) +(25×-10)/100

=25 -10 -250/100

=25–10–5/2

=15-5/2

=12.5

It is positive so there will be profit of 12.5% in this transaction.

Answer 2

Answer:

Sol. Let the C.P=50

M.P=50+25%of 100= Rs 75

Discount=10%

:;' Discount (in Rs)=10%of 150

=75×10/100=Rs 7.5

:;. S.P=M.P- discount

=75-7.5=67.5

S.P>C.P

gain =s.p-c.p

=67.5-50=17.5

profit %=profit/C.P×100

=17.5/50×100

=17.5×2 =35% answers