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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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