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.

Let × be the Cost Price of Cycle.


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


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


114x/100 – 110x/100 = 260


4x/100 = 260


× = (260 × 100)/4


= 6500


So, the cost price of Cycle is Rs.6500


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