If $x$ varies inversely as $y$ and $x = 12$ when $y = 5$, then $x$ when $y = 6$ equals:

If $x$ varies inversely as $y$ and $x = 12$ when $y = 5$, then $x$ when $y = 6$ equals:
  1. $8$
  2. $9$
  3. $10$
  4. $15$

Solution

$xy = 12 \times 5 = 60$. So $x = \dfrac{60}{6} = 10$.

Asked in: IMO

Practice more DIRECT AND INVERSE PROPORTIONS questions on Aicharya