Question

A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is

Answer 1

Let Cost price of bike be =x

Selling price of bike is at loss of 10% =
90% of x =90/100 × x=0.9x

If selling price had been increased by 200, would gain of 6% = 106% of x =0.9x+200==>106/100 × x=0.9x+200

1.06x=0.9x+200

1.06x−0.9x=200

0.16x=200

x=200/0.16=200 × 100/16 =1250 Answer