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Q.

How would the length of a fabric cost Rs.810, if 25 metres of the same fabric costs Rs.337.50?


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a

40 m

b

50 m

c

60 m

d

70 m 

answer is C.

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Detailed Solution

It is given that 25 metres of a fabric costs Rs.337.50.
We know that if two quantities x and y vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e. x y =k, where k is a constant positive number.
More money is needed the longer the piece of clothing. Therefore, the given problem is directly proportional.
Let length of a fabric cost that cost Rs.810 be p metre. Therefore,
Question ImageThus,
25 337.50 = p 810 ⇒p= 25×810 337.50 ⇒p= 810 13.5 ⇒p=60
Hence, 60 metres of the fabric would cost Rs.810.
Thus, option (3) is correct.
 
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