Aptitude - Simplification - Discussion

@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

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.

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.

x---->NSF.
y---->PPF.
x/3 = y/2 (as said in question ) --> (1)
x + y = 1,50,000 ( Total) --> (2)

From (1); we have, x=3/2 y ( put that in 2nd equation and directly we give the value of y which is PPF).

3/2 y + y = 1,50,000,
5/2 y = 1,50,000,
y = 1,50,000 * 2/5,
y = 60,000.

Let his PPF & NSC savings be X & Y respectively,,
One third of NSC = one half of PPF can be written as
Y/3=X/2
Therefore Y=3X/2
Let the total savings PPF+NSC be
X+Y=1,50,000
Substitute Y=3X/2 in above equation
Therefore we get X=60,000

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.

Let his savings in NSF be = x.
Let his savings in PPF be = y.

ATQ
X/3=y/2.

On solving yhis we get
2x =3y,
2/3x =y,

Now
X+y = 150000,
Putting the value of y as solved above.
X+2/3x = 150000,
X = 90000,
Y = 150000-90000 = 60000.

Ratio is the best method to solve.

Take the lcm for 2 and 3 is 6.

Therefore A s part is 3 B s part is 2.
Total part is 5.
Divide the total amount /5.

One part is equal to 30000.
B's part 2*30000 = 60000.

Let x be saving in PPF.

Saving in NSC x/3.

Saving in PPF/2.

Total saving is 150000 = 1/2 in PPF.

Therefore 150000*1/2 = 75000.

= x/3+x/2 = 75000.

= 5x/6 = 75000.

= 75000*6/5.

= 90000.

Solution:

1/3n(national savings certificate) = 1/2p(public provident fund).
n/p = 3/2,
n:p = 3:2.

So, Total savings/(ratio total),
150000/5 = 30000,
Then, p = 2(30000).
= 60000.