One-third of Ravi's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,00,000 as total savings, how much has he saved in Public Provident Fund ?Question 15Answera.40000b.65000c.60000d.150000
Question
One-third of Ravi's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,00,000 as total savings, how much has he saved in Public Provident Fund ?Question 15Answera.40000b.65000c.60000d.150000
Solution
Let's denote Ravi's savings in National Savings Certificate as N and his savings in Public Provident Fund as P.
From the problem, we know that:
1/3 * N = 1/2 * P ---- (equation 1)
We also know that his total savings is Rs. 1,00,000. So:
N + P = 1,00,000 ---- (equation 2)
We can solve these two equations simultaneously to find the values of N and P.
First, let's express P from equation 1:
P = 2/3 * N
Now, let's substitute P in equation 2:
N + 2/3 * N = 1,00,000
This simplifies to:
5/3 * N = 1,00,000
Solving for N gives:
N = 60,000
Substituting N = 60,000 in equation 2 gives:
60,000 + P = 1,00,000
Solving for P gives:
P = 40,000
So, Ravi has saved Rs. 40,000 in Public Provident Fund. The answer is (a) 40000.
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