A man get 20% profit by selling a cycle for rupees 2400 at what selling price he should sell the cycle for getting 30% profit
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Step-by-step explanation:
Profit percent = 20%
S.P. of the cycle = ₹2400
C.P. = ?
Let the C.P. be ₹x.
Therefore,
Profit = 20% of ₹x
= 20/100 × ₹x
= ₹x/5
S.P. = C.P. + Profit
=> 2400 = x + x/5
=> 2400 = (5x + x)/5
=> 2400 = 6x/5
=> 2400 × 5/6 = x
=> 2000 = x
So, the C.P. of the cycle is ₹2000.
In order to get 30% profit.....
C.P. = ₹2000
Profit percent = 30%
Profit = 30% of ₹2000
= 30/100 × ₹2000
= 3/10 × ₹2000
= ₹600
S.P. = C.P. + Profit
= ₹2000 + ₹600
= ₹2600
So, in order to get 30% profit, the man should sell the cycle at ₹2600.
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