Question

How much percent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 20% on the marked price , he gains 12% ?

Answer 1

SOLUTION

Let the C.P. be Rs. 100

Let the C.P. be Rs. 100M.P be Rs.x

Gain = 12% (given)

=) 12%of 100

=) 12/100× 100 = 12Rs.

S.P= C.P + gain

=) (100+12)Rs.

=) Rs.112

Discount= 20%(given)

=) 20% of M.P.

=) 20/100× x

=) Rs. x/5

So,

S.P.= M.P.- Discount

$x - \frac{x}{5} = 112 \\ = > \frac{5x - x}{5} = 112 \\ = > \frac{4x}{5} = 112 \\ = > x = \frac{112 \times 5}{4} = 140$

M.P.= Rs.140

So, CP= MP- CP

=) Rs(140-100)

=) Rs. 40

Therefore,

% amount M.P on C.P

=) Amount/C.P ×100

=) 40/100× 100

=) 40%

40% Required

Hope it helps ☺️