A cycle was sold at a gain of 10%. Had it been sold for Rs.260 more, t

1.	A cycle was sold at a gain of 10%. Had it been sold for Rs.260 more, the gain would have been 14%. Find the cost price of the cycle.
Answer» Let × be the Cost Price of Cycle. SP when cycle is sold at gain of 14% = x + 14x/100 = 114x/100 SP when cycle is sold at gain of 10% = x + 10x/100 = 110x/100 114x/100 – 110x/100 = 260 4x/100 = 260 x = (260 × 100)/4 = 6500 So, the cost price of Cycle is Rs.6500

A cycle was sold at a gain of 10%. Had it been sold for Rs.260 more, the gain would have been 14%. Find the cost price of the cycle.

Answer»

Let × be the Cost Price of Cycle.

SP when cycle is sold at gain of 14% = x + 14x/100 = 114x/100

SP when cycle is sold at gain of 10% = x + 10x/100 = 110x/100

114x/100 – 110x/100 = 260

4x/100 = 260

x = (260 × 100)/4

= 6500

So, the cost price of Cycle is Rs.6500