Question

Khan sold his cycle at loss of 8%.had He sold it for 240 more he would have gained 12%

FInd cp and sp

Answer 1

Khan sold his cycle at loss of 8%.had He sold it for 240 more he would have gained 12%. Then cost price is $ 1200 and selling price is $ 1104

Solution:

Assume the cost price be "a"

So the selling price of cycle = a - 8% of a

`\text { selling price }=a-(8 a)/(100)=(23 a)/(25)`

Now according to given, had He sold it for 240 more he would have gained 12%

Selling price + 240 = cost price + 12% profit

`(23a)/(25) + 240 = a + (12a)/(100)`

`(23a + 6000)/(25) = (100a + 12a)/(100)\\\\92a + 24000 = 112a\\\\20a = 24000\\\\a = 1200`

So the cost price is $ 1200

Now the selling price =
`(23a)/(25) = (23 * 1200)/(25) = 1104`

So the selling price is $ 1104