# 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

2
by nietmba1

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by nietmba1

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Solution:-

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

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

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

**Cost price is Rs. 2160**

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