Aptitude - Simplification - Discussion

It is given that 1/3 of N.S.C is equal to 1/2 of P.P.F.
Let NSC=x and PPF=y.
1/3*x=1/2*y.
x=3/2*y.
Total savings=x+y=150000
substitute x in above equation
we get,
3/2*y+y=150000.

simplify the above equation we get;
5y=300000,
y=60000.

@ALL.

Since 1/3 amt equals to 1/2 amt

Then assume a value that can be divisible by 3 and another value that divisible by 2 and both's answer is equal,
eg,
1/3 x 12 = 1/3 x 8
both get answer as 4,
so I assumed
1/3 x 9 = 1/2 x 6 (answer is 3 both side which satisfies the question,)

As total saving we get as (9+6 = 15) assumed value 9 is saving of National Savings and 6 is for public saving)

But total saving was 150000,
So 150000 is how many times of 15?
10000 times..15 x 10000

So for public saving, 6 also as 10000 times. the answer is 60000

Hi can any one please tell me why is it (150000-x)?

You are perfectly right @Vickey.

Thanks for your explanation @Vickey.

Given that the condition is 1/3 of Rahul Savings in NSC = 1/2 of savings in PPF.

Then the Ratio will be as follows:

1/3 NFC = 1/2 PPF

Then It Implies the ratio will be (PPF/NFC) =(2/3).

We have to divide the given savings amount into that ratio

2x + 3x = 150000,
5x = 150000,
Then x = 30000.

Then, the Savings in Public Providential Fund = 2x = 2 * 30000 = Rs.60000.

One-half means 2 part,

One-third means 3 part, then 2 + 3 = 5,

=> 150000/5 * 2 = 60000.