A sold a car to B at 15% profit,B sold car to C at 5% profit for Rs 89,985, find the price at which A had purchased?
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Answer:
Given, for B
S.P = Rs. 844.80
Loss =12 %
Now, with this S.P. and for Loss % =
C.P.
C.P.−S.P.
×100=12 %
⇒
C.P.
C.P.−844.80
×100=12
⇒ C.P. −844.80=0.12 C.P.
⇒0.88 C.P. =844.80
⇒ C.P. = Rs. 960
This, Rs. 960 is the S.P for A as A sold the article to B.
So, Profit % =
C.P.
S.P.−C.P.
×100=20 %
⇒
C.P
960−C.P.
×100=20
⇒960− C.P. =0.2C.P.
⇒1.2 C.P =960
⇒ C.P. =Rs800
Hence, C bought the article for Rs. 800.
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