Aptitude - Simplification - Discussion

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"Everything you can imagine is real."

- Pablo Picasso

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 ?

[A].	Rs. 30,000	[B].	Rs. 50,000
[C].	Rs. 60,000	[D].	Rs. 90,000

Answer: Option B

Explanation:

Let savings in N.S.C and P.P.F. be Rs. x and Rs. (150000 - x) respectively. Then,

1 x = 1 (150000 - x)

3 2

x + x = 75000

3 2

5x = 75000

6

x = 75000 x 6 = 90000

5

Savings in Public Provident Fund = Rs. (150000 - 90000) = Rs. 60000

Sundar said: (Fri, Feb 11, 2011 08:01:23 AM)

There is another way to solve the problem Say, PPF = x then, NSC = 1.5x Total savings, 1.5x + x = 150000 2.5x = 150000 x = 150000/2.5 x = 60000

Arpan Sengupta said: (Tue, Dec 13, 2011 11:24:01 PM)

Both Sundar and the solution given is wrong. sundar had assumed savings in NSC= 1.5 time PPF which is not the case its 1/3 nsc=3/2 PPF one-half means 3/2 and not 1/2. Because if its half then is sufficient to say half and not one half. Correct answer should be 30000 in this case.

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