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Find the amount if ₹ 2,000 is invested for 2 years at 4% p.a. compounded annually.
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For the combined interest compound annually, the amount is given to us, we have a is equal to p, 1 plus r over 100 to the power, and then we have the number of Ears. 1 plus 4 over 100 wall to the power for 2 years and is to it is all, why the number of ears, so when to find the amount here amount will be principle, is given to 1000 that is invested right, 1 plus r is given 4%, so 1 plus 4 over 2000 has given us 104 over 100 times, while the other has given us 100 over 100 point. So this cancel with this and now just solve this here and let's get to the bottom of this, we get here 21 un 632 over 10 that has given us all the money. That's the amount we have here. I would like to thank you.
What sum invested for 1½ years, compounded half yearly at the rate of 4% p.a., amounts to Rs. 1,32,651?
- Rs. 1,00,000
- Rs. 1,24,000
- Rs. 1,34,000
- Rs. 1,25,000
Answer (Detailed Solution Below)
Option 4 : Rs. 1,25,000
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History of Indian Constitution
15 Questions 15 Marks 9 Mins
Given
Amounts = Rs. 1,32,651
Time = 3/2 years
Rate = 4%
Compounded half yearly
Concept
A = P × (1 + r/100)t
When compounded half yearly
Rate become half and Time become double (As in 1 year 12 months = 6 months + 6 months)
Calculation
Time = 3 years
Rate = 2%
⇒ 132651 = P × (1 + (2/100))3
⇒ 132651 = P × (1 + (1/50))3
⇒ 132651 = P × (51/50)3
⇒ P = (132651 × 50 × 50 × 50)/(51 × 51 × 51)
Note:- 513 = 132651
⇒ P = Rs. 125000
∴ Sum = Rs. 125000
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