One-third of Rahul's National Savings Certificate equals one-half of his Public Provident Fund. If his total savings are Rs. 1,50,000, how much is in the Public Provident Fund?

Given data

• NSC = N, PPF = P
• N/3 = P/2 ⇒ 2N = 3P ⇒ N = (3/2)P
• N + P = 1,50,000

Concept / Approach

• Express both amounts in terms of a single variable and use the total.

Step-by-step calculation
(3/2)P + P = 1,50,000(5/2)P = 1,50,000 ⇒ P = 1,50,000 × (2/5) = 60,000

Verification
Then N = 90,000; check: N/3 = 30,000 and P/2 = 30,000 ✔

Final Answer
Rs. 60,000