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One-third of Ramani's saving in National Saving Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs 150000 as total saving, how much has he saved in Public Provident Fund?
  • a)
    Rs 60000
  • b)
    Rs 50000
  • c)
    Rs 90000
  • d)
    Rs 30000
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
One-third of Ramanis saving in National Saving Certificate is equal to...
Let savings in N.S.C and P.P.F. be Rs x and Rs (150000 - x) respectively. Then,
1/3 x = 1/2 (150000 - x)
⇒ x/3 + x/2 = 75000
⇒ 5x/6 = 75000
⇒ x = 75000x6/5 = 90000
∴ Savings in Public Provident Fund = Rs (150000 - 90000) = Rs 60000
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One-third of Ramanis saving in National Saving Certificate is equal to...
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Given:
- One-third of Ramanis saving in National Saving Certificate is equal to one-half of his savings in Public Provident Fund.
- Total savings = Rs 150000

To find:
- How much has he saved in Public Provident Fund?

Solution:

Let's assume that Ramanis saving in National Saving Certificate is "x" and his savings in Public Provident Fund is "y".

According to the given condition:
One-third of Ramanis saving in National Saving Certificate is equal to one-half of his savings in Public Provident Fund.

So we can write the equation as:
(1/3)x = (1/2)y

Now, we know that the total savings of Ramanis is Rs 150000.

So, we can write another equation as:
x + y = 150000

Now, we have a system of equations:
(1/3)x = (1/2)y
x + y = 150000

Solving the system of equations:
Multiply both sides of the first equation by 6 to eliminate the fractions:
2x = 3y

Now, we can rewrite the second equation as:
x = 150000 - y

Substituting the value of x in terms of y in the first equation:
2(150000 - y) = 3y
300000 - 2y = 3y
300000 = 5y
y = 300000/5
y = 60000

Therefore, Ramanis has saved Rs 60000 in Public Provident Fund.

Hence, the correct answer is option A) Rs 60000.
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One-third of Ramanis saving in National Saving Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs 150000 as total saving, how much has he saved in Public Provident Fund?a)Rs 60000b)Rs 50000c)Rs 90000d)Rs 30000Correct answer is option 'A'. Can you explain this answer?
Question Description
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