Question

A shopkeeper offers a discount of
20%
on a fridge and sells it for Rs.9600. If he doesn’t offer
the discount, then he will get a profit of
20%
. What is the cost price of the fridge?

Answer 1

Question:

A shopkeeper sells a T.V. set of Rs 16560 at 10% discount on its marked price and earns 15% profit. If no discount is offered, then what will be his present profit?

Step-by-step explanation:

Cost price of the article=Rs 16560

let marked price be Rs x

discount =10%

S.P.=M.P.(

100

100−discount %

)

=x(

100

100−10

)

=

10

9x

Profit =15%

Profit %=

C.P.

Profit

×100 Where, Profit = Selling price − Cost price

⟹15=

C.P.

S.P.−C.P.

×100

⟹15×16560=(

10

9x

−16560)×100

⟹15×1656=9x−165600

⟹9x=165600+24840=190440

⟹x=21160

∴ M.P.=21160

If no discount is offered then S.P.=M.P.

∴Profit=S.P.−C.P.

=21160−16560

=4600

∴Profit %=

C.P.

Profit

×100

=

16560

4600

×100%

=

9

250

%

∴ Profit is

9

250

%