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Q.

What would the price be for 120 kg of iron of the same quality if 27 kg cost Rs.1080?

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a

Rs.4500

b

Rs.4800

c

Rs.5000

d

Rs.5200

answer is B.

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Detailed Solution

It is given that 27 kg of iron cost Rs.1080.
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.
The more iron there is, the more money is needed.
So, the given problem is of direct proportion.
Let’s assume that the cost of 120 kg of iron be

q

rupees. Then,
Question Image

Question Image

Thus,

271080 = 120 q ⇒ q = 120 × 1080 27 ⇒ q = 4800

Therefore, 120 kg of iron would cost Rs.4800.
Hence, option (2) is correct.

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