Aptitude - Simplification - Discussion

Discussion :: Simplification - General Questions (Q.No.7)

7. 

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 C

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: (Feb 11, 2011)  
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: (Dec 13, 2011)  
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.

Vickey said: (Dec 6, 2012)  
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

Minny said: (Dec 22, 2012)  
How 5x/6?

Manojvenkat said: (Aug 29, 2013)  
Hey here goes very easy way.

N+P = 150,000 given.

1/3(N+P) = 1/3(150,000).

We know 1/3N = 1/2P Substitute.

1/2p+1/3p = 50,000.

p = 60,000.

Amit said: (Dec 27, 2013)  
x = share in NSC.
y = share in PPF.

Now,
x+y = 150000........eqn 1.

Also x/3 = y/2.

Then,
x = 3y/2.

Substitute in 1,
3y/2+y=150000.

Solving it.
y = 60000.

Anonymous said: (Jul 8, 2015)  
How 75000 came?

Kalpak said: (Jul 30, 2015)  
How did x/2 come?

Richard Dicaprio said: (Sep 24, 2015)  
Hi can any one please tell me why is it (150000-x)?

Sanjay said: (Jan 31, 2016)  
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.

Yusuf Jamal said: (Sep 21, 2016)  
One-half means 2 part,

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

=> 150000/5 * 2 = 60000.

Surya Kiran Sanju said: (Dec 21, 2016)  
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.

Gayathri said: (Feb 6, 2017)  
Thanks for your explanation @Vickey.

Chhaya said: (Aug 3, 2017)  
You are perfectly right @Vickey.

Ramakrishna said: (Dec 10, 2017)  
Nps/3=ppf/2
Npf/Ppf = 3/2
Npf :Ppf = 3:2
Ppf = 2/5*1,50,000 = 60000.

Raj Tiwari said: (Jan 20, 2018)  
@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

Sai Kiran said: (Jan 25, 2018)  
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.

Nilesh Sonje said: (Mar 16, 2018)  
Let,

3 parts of NSC + 2 parts of PPF = 150000.
Total 5 parts = 150000,
1 part = 30000,
2 parts of PPF = 60000.

Pritam said: (Mar 20, 2018)  
x/3+x/2= 1,50,000(total saving),
5x/6= 1,50,000.

x= 1,50,000*6/5 = 1,80,000.
ppf = x/2 so ppf may be 1,80,000/2 = 90,000.

Alish said: (Jun 30, 2018)  
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.

Ashutosh Giri said: (Jul 4, 2018)  
How 75000 came?

Sukhman said: (Feb 27, 2019)  
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.

Vineela said: (May 22, 2019)  
N/3 = P/2.
Therefore, N = 3/2P.
Given N+P = 1,50,000,
3/2P+P = 1,50,000,
5/2P = 1,50,000,
Therefore, P = 1,50,000 * 2/5 = 60,000.

Angothu Vamshi said: (Jul 16, 2019)  
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.

Rekha said: (Dec 19, 2020)  
Thank you @Sanjay.

R K Senthil Raajan said: (Mar 6, 2021)  
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.

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