a cycle was sold at a gain of 10%. Had it been sold for RS 99 more, the gain would have been 12%. Find the cost price of cycle
please give answer with method
Answers
Let the cost price of the cycle = 'x'.
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)
--------------------------------------------------------------------------------------------------------
On solving (1) & (2), we get
= > (28x/25) = (11x/10) + 99
= > (28x/25) - (11x/10) = 99
= > (56x - 55x) = 99 * 50
= > x = 4950.
Therefore, the cost price of cycle = 4950.
Hope this helps!
Step-by-step explanation:
hope this will help you
