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Sarah purchases every year national saving …

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Sarah purchases every year national saving certificate of value exceeding the last year purchase by rs.25 after 2o years she find the total value of certificate purchased by her is rs.7250 .find the value of certificate purchased

    • Posted by Yogesh Jaiwal 6 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 11 months ago

    Let the value of certificate purchased by Sarah in the 1st year be Rs x.

    Value of certificate purchase by Sarah in the 2nd year = Rs x + Rs 25 = Rs (x + 25)

    Value of certificate purchased by Sarah in the 3rd year = Rs (x + 25) + Rs 25 = Rs (x + 50)  and so on.

    x, x + 25, x + 50,...... are in A.P.

    First term, a = x

    Common difference, d = 25

    Given, Total value of certificates purchased by her after 20 years = Rs 7250

    ∴ Value of certificate purchased by her in the 1st year = Rs 125

    Value of certificate purchased by her in the 10th year, a10

    ∴ Value of certificate purchased by her in the 10th year = Rs 350

    3Thank You

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