Question:
A person has money to buy 25 cycles worth Rs 500 each. How many cycles he will be able to buy if each cycle is costing Rs 125 more?
Solution:
Let x be the number of cycles bought if each cycle costs Rs 125 more.
It is in inverse variation. Therefore, we get:
$500 \times 25=625 \times x$
$\Rightarrow x=\frac{500 \times 25}{625}$
$500 \times 25=625 \times x$
$\Rightarrow x=\frac{500 \times 25}{625}$
$=20$
$\therefore$ The required number of cycles is 20 .