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?

Answer 1

Let x be the number of cycles bought if each cycle costs Rs 125 more.
 

Cost of a cycle (in Rs)	500	625
Number of  cycles	25	x

\[\text{ It is in inverse variation . Therefore, we get: }  \]
\[500 \times 25 = 625 \times x\]
\[ \Rightarrow x = \frac{500 \times 25}{625}\]
\[ = 20\]
\[ \therefore \text{ The required number of cycles is 20 }  .\]