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Q.

How much would 40 metres of a fabric cost if 25 metres of the same fabric costs Rs.337.50?


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a

Rs.440

b

Rs.540

c

Rs.460

d

Rs.560 

answer is B.

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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 40 metres of cloth would cost q rupees. Then,
Question ImageThus,
25 337.50 = 40 q ⇒q= 40×337.50 25 ⇒q=40×13.5 ⇒q=540
Hence, 40 metres of the fabric would cost Rs.540.
Thus, option (2) is correct.
 
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