Aptitude - Simplification - Discussion

Discussion Forum : 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 ?
Rs. 30,000
Rs. 50,000
Rs. 60,000
Rs. 90,000
Answer: Option
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

Discussion:
27 comments Page 2 of 3.

Amit said:   1 decade ago
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.

Sundar said:   1 decade ago
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

Manojvenkat said:   1 decade ago
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.

Vineela said:   6 years ago
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.
(1)

Pritam said:   8 years ago
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.

Ram said:   3 years ago
1/3 A=1/2 B and A=3B/2.

A+B=1, 50,000.
3B/2 +B =1,50,000,
5B/2 = 1,50,000,
B = 3,00,000/5 =60, 000.
B = 60,000.
(27)

Nilesh Sonje said:   8 years ago
Let,

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

Yusuf Jamal said:   9 years ago
One-half means 2 part,

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

=> 150000/5 * 2 = 60000.

Ramakrishna said:   8 years ago
Nps/3=ppf/2
Npf/Ppf = 3/2
Npf :Ppf = 3:2
Ppf = 2/5*1,50,000 = 60000.
(1)

Richard DiCaprio said:   1 decade ago
Hi can any one please tell me why is it (150000-x)?


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