Question

A carton box full of chips is sold at 25% profit. If it had been sold at 25% loss, then the selling price would have been $120 less. What is the cost of the carton box?

Answer 1

Answer:

Suppose the cost price of the article is Rs.100 at loss of 25% the S.P of the article is Rs.(100−25)=Rs.75.

At profit of 5% the S.P of the article is Rs.(100+5)=Rs.105

∴ The difference of the two S.Ps is Rs.105−75=Rs.30

If the C.P is Rs.100,

The difference in the two S.Ps is Rs.60 then the C.P is

30

100

×60=Rs.200

(ii) Suppose the cost price of article is x

At 25% loss,

S.P =x−

100

25x

=

100

75x

=Rs.

4

3

x

At 5% profit,

S.P=x+

100

5x

=

100

105

x=Rs.

20

21

x

Accordingly,

20

21

x−

4

3

x=60

⇒

20

21x−15x

=60

⇒

20

6x

=60

⇒x=

6

60×20

=200

∴ The cost price of article is Rs.200.