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.
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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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