10. A cycle is sold at a gain of 10%. Had it been sold for Rs.150/- more the profit would have been 15%. Find its cost price?
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Let x be the cost price of the cycle
Selling price when the cycle is sold at a gain of 14%
= 14x/100 = 114x/100
Selling price when cycle is sold at gain of 10%
= 114x/100 = 110x/100 = 260
= 4x/100 = 260
= x(260 * 100) / 4
= x(26000) / 4
= 6500
Therefore, the cost price of the cycle is Rs.6500
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