Question

if 25 metres of cloth cost rupees 1575, how many metres of it can be brought for rupees 2016?

Answer 1

$\boxed{\boxed{\boxed{\bold{\blue{Solution :\longrightarrow}}}}}$

Let the required length of the cloth of be x metres.

_______________________
| Length of cloth ( in m ) | 25 | x |
_______________________
| Cost of cloth ( in ₹ ) | 1575 | 2016 |
__________________________

Clearly , More length of cloth can be purchased for more cost.

So, it is a case of direct proportion.

$\bold\green{Now \: \: \frac{25}{1575} = \frac{x}{2016} }\\ \\ \bold{= > 1575 \times x = 2016 \times 25} \\ \\ \bold{= > 1575x = 2016 \times 25} \\ \\ \bold{= > x = \frac{2016 \times 25}{1575}}$

$\bold\red{= > x = 32}$

Therefore, the required length of the cloth is 32 metres.