Question

If the price of a cycle is increased by$12\%$, the increase in the price is $₹$$102$. What was the price of the cycle earlier?

Answer 1

Find the original price of the cycle

Let the price of the cycle earlier be $\mathrm{x}$.

Increase in the price $=12\%$ of earlier price

$=\frac{12}{100}\times \mathrm{x}$

$=\frac{3\mathrm{x}}{25}$

According to the question,

Increase in the price $=$$₹102$

$\frac{3\mathrm{x}}{25}=$$₹102$

$$\begin{gathered} 3\mathrm{x}=₹102\times 25 \\ \mathrm{x}=\frac{102}{3}\times 25 \\ \mathrm{x}=34\times 25 \\ \mathrm{x}=850 \end{gathered}$$

Hence, the earlier price of the cycle is$₹850$.