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    Prithvi has pears and peaches in the ratio of 10:13. Celine has pears and peaches in the ratio of 7:9. Vikram has pears and peaches in the ratio of 5:
    Question

    Prithvi has pears and peaches in the ratio of 10:13. Celine has pears and peaches in the ratio of 7:9. Vikram has pears and peaches in the ratio of 5:7. Who has a greater ratio of pears to peaches?

    A.

    Vikram

    B.

    Prithvi

    C.

    All are equal

    D.

    Celine

    Correct option is D

    Given:
    ​Prithvi's ratio of pears to peaches = 10:13
    Celine's ratio of pears to peaches = 7:9
    Vikram's ratio of pears to peaches = 5:7
    Formula Used:
    For any ratio a : b, the decimal value is calculated as ab.\frac{a}{b}​.​​
    Solution:

    For Prithvi: 1013\frac{10}{13}​​

    For Celine: 79\frac{7}{9}​​

    For Vikram: 57\frac{5}{7}​​​

    The least common multiple of 13, 9, and 7 is 819.

    For Prithvi: 1013×6363=630819\frac{10}{13} \times\frac{ 63}{63} = \frac{630}{819}​​

    For Celine: 79×9191=637819\frac{7}{9} \times\frac{ 91}{91} = \frac{637}{819}​​

    For Vikram: 57×117117=585819\frac{5}{7​} \times \frac{ 117}{117} =\frac{ 585}{819}​​

    Celine has the greatest numerator, which means she has the greatest ratio of pears to peaches.
    So, the correct answer is option (d) Celine.

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