# 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

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.