Question

A cycle is sold at a gain of 10%. Had it been sold for 50 more, the pain would have been 12%. Find its cost price.​

Answer 1

Answer:

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

Answer 2

Answer:

Let x be the Cost Price of Cycle.

SP when cycle is sold at gain of 12% = x+ 12x/100 = 112x/100

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

112x/100 – 110x/100 = 50

2x/100 = 50

x= (50 × 100)/2

= 2,500

So, the cost price of Cycle is 2,500..