Question

Karan sold his cycle at a loss of 9%. If he sold it for
Rs 75 more he would have made a profit of 16% Find the
new selling price of cycle​

Answer 1

Answer:  The new selling price of the cycle is Rs. 348.

Step-by-step explanation:  Given that Karan sold his cycle at a loss of 9%. If he sold it for  Rs 75 more he would have made a profit of 16%.

We are to find the new selling price of the cycle.

Let C denote the cost price of the cycle at which Karan bought it.

Then, the price at which Karan sold the cycle is

$S=C-9\%\times C=C-\dfrac{9}{100}\times C=\dfrac{91}{100}C.$

According to the given information, we have

$S+75=C+16\%\times C\\\\\\\Rightarrow \dfrac{91}{100}C+75=C+\dfrac{16}{100}C\\\\\\\Rightarrow \dfrac{91}{100}C+75=\dfrac{116}{100}C\\\\\\\Rightarrow \dfrac{116}{100}C-\dfrac{91}{100}C=75\\\\\\\Rightarrow \dfrac{25}{100}C=75\\\\\\\Rightarrow 25C=7500\\\\\Rightarrow C=\dfrac{7500}{25}\\\\\Rightarrow C=300.$

Therefore, the new selling price of the cycle is

$S.P.=300+16\%\times 300=300+\dfrac{16}{100}\times300=300+48=348.$

Thus, the new selling price of the cycle is Rs. 348.