Question

Cost price of two articles is same. One is sold at a profit of 15% and the other for Rs. 1500 more than the first. If the netprofit is 30%. Find the cost price of each article.

Answer 1

Answer:

For the first case,

Profit % =

C.P1

S.P.−C.P.1

×100=15 %

=>S.P.−C.P.1=0.15C.P.1

=>S.P.=1.15C.P.1

C.P.1=

115

100

S.P. - (1)

For the second case,

Loss % =

C.P2

C.P.2−S.P.

×100=15 %

=>C.P.2−S.P.=0.15C.P.1

=>0.85C.P.2=S.P.

=>C.P.2=

85

100

S.P. -- (2)

From eqns 1 and 2

1.15C.P.1=0.85C.P.2

C.P.1=

1.15

0.85

C.P.2

C.P.1=

23

17

C.P.2

Now, Total C.P. =C.P.1+C.P.2=

23

17

C.P.2+C.P.2=

23

40

C.P.2

and Total S.P. =2SP=2(0.85C.P.2)=

10

17

C.P.2

And Loss % on the whole =

23

40

C.P.2

23

40

C.P.2−

10

17

C.P.2

×100=2.25 %

Step-by-step explanation:

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