Question

the market price of a mixer is 11,150 rupees and sold at 10%discount. The shopkeeper earns a profit of 11.5%.What was the cost price of mixer?

Answer 1

Hello,
we calculate the discount on the price
$d= \frac{percentage \times prince }{100}= \frac{10 \times 11150}{100}$;
$= \frac{111500}{1115}= 44880000$
we calculathe the selling price :
sp= 11150 -1115 = 10035 


However the shopkeeper earns a profit of 11.5% .
so we indicate with x cost price of mixer, then:
selling price = x + 11.5% of x;

Therefore:
x+11.5x/100=10035;
100x+11.5x/100=1003500/100;
100x+11.5x=1003500;
111.5x=1003500;
x=1003500/111.5=9000



therefore the cost price of mixer is 9000.

bye :-)

Answer 2

Step-by-step explanation:

discount=percent x price/100 =10x11150 = 111500/1115=44880000

so,

sp=11150-1115=10035

so, the shopkeeper earn a profit of 11.5 percent

so, the cp is x

x+11.5/100 = 10035

100x+ 11.5/100= 10035

100x+11.5x =1003500

111.5x= 1003500

x= 1003500/111.5 = 9000