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The diagram shows the rate of diamonds of different sizes. Of what size is the largest diamond that can be purchased for Rs.4.5 lakh?
Question

The diagram shows the rate of diamonds of different sizes. Of what size is the largest diamond that can be purchased for Rs.4.5 lakh?

A.

1.5 carat

B.

2.25 carat

C.

2.5 carat

D.

4.5 carat

Correct option is B

Solution:

From the graph:

At 0 carat → Price = 0 lakh

At 2.5 carat → Price = 5 lakh

This is a straight-line graph, so the price increases uniformly.

Price per carat = 5 ÷ 2.5 = 2 lakh per carat

We need to find the largest diamond that can be purchased for Rs. 4.5 lakh.

So,

Weight = Price ÷ Price per carat
Weight = 4.5 ÷ 2
Weight = 2.25 carat

Answer: The largest diamond that can be purchased is 2.25 carat.

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