a cycle was sold at a gain of 10%. had it been sold for 99more the gain would have been 12%. find the cost price of the cycle.
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Answer:
Let the cost price of the cycle ='x'.
Step-by-step explanation:
Given Gain = 10 % .
we know that selling price =[(100 + gain %)/100]* CP
=[(100+10)/100]*X
=[110/100]*X
=110x/100
=11x/10
Given that it had been sold for Rs. 99 more.
selling price =,(11x/10)+99 ------ (1)
Given the gain would have been 12%
=>selling price =[(100+gain %) 100]*CP
(112/100)*x
=112x/100
=28x/25 ------(2)
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on solving (1) & (2), we get
=>(28x/25) = (11x/10)+99
=>(28x/29) -(11x/10)=99
=>(56x - 55x) = 99*50
=> x=4950.
Therefor the cost price of cycle =4950.
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