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 ?
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.
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
Say, PPF = x then,
NSC = 1.5x
Total savings,
1.5x + x = 150000
2.5x = 150000
x = 150000/2.5
x = 60000
Vickey said:
1 decade ago
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
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
Rekha said:
5 years ago
Thank you @Sanjay.
Minny said:
1 decade ago
How 5x/6?
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.
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:
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.
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.
Ashutosh giri said:
7 years ago
How 75000 came?
Anonymous said:
1 decade ago
How 75000 came?
Sanjay said:
10 years ago
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.
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.
Kalpak said:
1 decade ago
How did x/2 come?
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