What sum invested for amount to 132651 1 1 2 years compounded half yearly at the rate of 4% pa will?

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Michelle D.

Algebra

9 months, 1 week ago



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What sum invested for amount to 132651 1 1 2 years compounded half yearly at the rate of 4% pa will?

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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?

  1. Rs. 1,00,000
  2. Rs. 1,24,000
  3. Rs. 1,34,000
  4. 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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125000. Step-by-step explanation: Given : Sum invested for 1 whole 1 upon 2 years compounded half yearly at the rate 8% per annum will amount to rupees 140608.

What sum invested at 4% per annum compounded semi annually amount to rupee 7803 at the end of one year?

Thus, the sum of money will be Rs. 7500.

On what sum will the compound interest for 2 years at 4% per annum?

Hence, the sum will be ₹ 70,000.

On what sum will the compound interest for 2 years at 4% per annum be rupees 5000 712?

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