One-third of Rahul's savings in National Savings Certificate is equal to…

20242023

One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?

  1. A.

    Rs. 30,000

  2. B.

    Rs. 50,000

  3. C.

    Rs. 60,000

  4. D.

    Rs. 90,000

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Show answer & explanation

Correct answer: C

Let savings in NSC be x and savings in PPF be 150000 - x.

From the condition: (1/3)x = (1/2)(150000 - x)

  1. Rearrange: x/3 = 75000 - x/2, so x/3 + x/2 = 75000.

  2. Combine terms: x/3 + x/2 = (2x + 3x)/6 = 5x/6, hence 5x/6 = 75000.

  3. Solve for x: x = 75000 × 6 / 5 = 90000.

  4. Therefore PPF = 150000 - 90000 = 60000.

Answer: Rs. 60,000.

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