Question

Deva bought 9 1/2 m of cloth for rupees 28 1/2.Samruth buys 26 1/3 m of same cloth. how much should samruth pay the shopkeeper?

Answer 1

For this case we can make the following rule of three:

9 1/2 m --------------> 28 1/2 rupees

26 1/3 m -------------> x

From here, we clear the value of x.

We have then:

$x = (\frac{26+\frac{1}{3}}{9+\frac{1}{2}}) (28+\frac{1}{2})$

Rewriting we have:

$x = (\frac{\frac{79}{3}}{\frac{19}{2}}) (\frac{57}{2})$

$x = (\frac{158}{57}) (\frac{57}{2})$

$x = \frac{158}{2}$

$x = 79$

Answer:

samruth should pay 79 rupees to the shopkeeper