A buys a bicycle and sells it to B at a 5% profit. B rides the bicycle for a month and sells it to C at a loss of 4%. C gets the cycle repaired and sells its to D for Rs. 1375.92 making a profit of 5%. At what price had A bought the bicycle?
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Step-by-step explanation:
For the first situation,
Profit % =
C.P.
S.P.−C.P.
×100=5
=>S.P.−C.P.=0.05C.P.
=>S.P.=1.05C.P --- (1)
For the second situation, Selling price = Selling price of 1st situation −Rs63
And Cost price is 30 % less or =70 % of C.P. =0.7C.P.
So, Profit % =
C.P.
S.P.−C.P.
×100=30
=>
0.7C.P.
(S.P.−63)−0.7C.P.
×100=30
=>S.P.−63−0.7C.P.=0.21C.P.
=>S.P.=0.91C.P+63 --- (2)
From, equations 1, 2
1.05C.P.=0.91C.P+63
=>0.14C.P.=63
C.P.=Rs450
Thus, cost price of the bicycle =Rs450
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