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A tricycle is sold at a gain of 15%. had it been sold for rs 108 more, the profit would have been 20%. find its cost price? Solution:- Gain = 15 Let the Cost Price of tricycle (in Rupees) = x and the Selling Price = y therefore , gain % = y - x /x *100 15 =100(y-x)/x 15x = 100y - 100x 15x + 100x = 100y 115x = 100y or y = 1.15x .........................(1st) condition 2nd : selling price = y+108 gain % = 20 ( y+108 - x /x)*100 = 20 or (y+108 -x ) = 20 *x/100 y+108 -x = x/5 y + 108 = x+x/5 y+108 = 5x+x /5 y+108 = 6x/5 y+108 = 1.2x using y = 1.15x , we get 1.15x +108 = 1.2x or 1.2x = 1.15x+108 1.2 x - 1.15x = 108 .05x = 108 5x/100=108 x/20 = 108 x = 108*20 x=2160 Hence the Cost Price of Tricycle is (Rupees) 2160.

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Let cost price = x

If it is sold at 15% gain, 15% of x = x × 15/100 = 0.15x selling price = x + 0.15x = 1.15x

If it is sold at 20% gain, 20% of x = x × 20/100 = 0.2x selling price = x + 0.2x = 1.2x

Given that 1.2x - 1.15 x = 108 ⇒0.05x = 108 ⇒ x = 108/0.05 ⇒x = Rs. 2160