Ram saves Rs.60,000 at the beginning of each year and puts the money in a bank, That pays 10% annual compound interest, What would be the total saving of Ram at the end of 4 years?
1. Rs.3,06,400
2. Rs.2,96,306
3. Rs.2,40,000
4. Rs.3,06,306
5. None of these
Correct Answer – Option 4 : Rs.3,06,306
Given:
Ram saves Rs.60,000 at the beginning of each year and puts the money in a bank.
Rate of compound interest = 10% annually
Time = 4 year
Concept:
Compound interest is interest on interest.
A = P × (1 + R/100)T
A = Final amount
P = Initial amount
R = Rate of interest
T = Time
Calculation:
First year deposit in bank Rs.60,000
After 1 year Amount = 60000 × (1 + 10/100)1
After 2 year Amount = 60000 × (1 + 10/100)2
After 3 year Amount = 60000 × (1 + 10/100)3
After 4 year Amount = 60000 × (1 + 10/100)4
Total amount after 4 year = 60000 × 1.1 × {1 + 1.1 + (1.1)2 + (1.1)3}
⇒ 66000 × (1 + 1.1 + 1.21 + 1.331)
⇒ 66000 × 4.641
⇒ Rs.3,06,306
∴ Total saving of Ram at the end of 4 years is Rs.3,06,306.