Question

The cost of 97m of cloth is Rs.242.50. What lenght of this cloth can be purchaed for Rs.302.50?

Answer 1

Cloth...... Rupees
97m............242.50Rs
x...............302.50Rs

This is Direct Variation
x=302.5*97/243.50
x=29342.5/243.5
x=120.503m

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Answer 2

Let x meter be the length of the cloth that can be purchased for Rs.302.50.

Length ( in m ) 97 x

Cost ( in Rs ) 242.50 302.50

Since, the length of the cloth and its cost are in direct variation, we have :

$⇒ \frac{97}{x} = \frac{242.50}{302.50}$

$⇒  97×302.50=x×242.50$

$⇒x=97 \times \frac{97×302.50}{242.50}$

$⇒x= \frac{29342.50}{242.50}$

$⇒x=121$

∴ The required length will be 121 meter.