Question

A cycle was sold at a gain of 10%. Had it been sold for ₹ 260 more, the gain would have been 14%. Find the cost price of the cycle.

Answer 1

Let the CP be ₹x.
SP when gain is 10% = $x+\frac{10}{100}x=₹\frac{110}{100}x$
SP when gain is 14% = $x+\frac{14}{100}x=₹\frac{114}{100}x$
Difference in SP = SP when gain is 14% − SP when gain is 10% = ₹260
$$\begin{gathered} \therefore \frac{114x}{100}-\frac{110x}{100}=260 \\ \Rightarrow \frac{4x}{100}=260 \\ \Rightarrow x=6500 \end{gathered}$$
Hence, the CP of the cycle is ₹6,500.