Question

A cycle was sold at gain of 10%. Had it been sold for Rs65 more the gain would have been 14%. Find CP of the cycle.

Answer 1

let the CP = 100
then the cycle is sold at 100×10/100=10
SP=100+10=110
but if it had been sold at 65. more then gain would be 14%
than SP would be 114
Difference=114-110=4
4 units = 65
1 unit = 65/4
then CP= 100 UNITS
CP= 100×65/4
CP=25×65
CP=1625
I hope this may be helpful for u.

Answer 2

Answer:

let the coast of cycle =x

10% gain =X into 10/100 =×/10

14% gain =×into 147/100=7x/50

7×/50-x/10=65

7×-5×/50=65

2×/50=65

2×=65×50

×=3250/2

cp = 1625