Question

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

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

$\text { selling price }=a-\frac{8 a}{100}=\frac{23 a}{25}$

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

Selling price + 240 = cost price + 12% profit

$\frac{23a}{25} + 240 = a + \frac{12a}{100}$

$\frac{23a + 6000}{25} = \frac{100a + 12a}{100}\\\\92a + 24000 = 112a\\\\20a = 24000\\\\a = 1200$

So the cost price is $ 1200

Now the selling price = $\frac{23a}{25} = \frac{23 \times 1200}{25} = 1104$

So the selling price is $ 1104