Tick the correct answer in each of the following: The compound interest on Rs 10000 at 10% per annum for 3 years, compounded annually. is a Rs 1331 b Rs 3310 c Rs 3130 d Rs 13310 (2024)

FAQs

In what time will RS 1000 amount RS 1331 at 10% per annum compounded annually? ›

∴ It will take 3 years for principal amount of Rs. 1000 to become Rs. 1331 when compounded annually at 10% per annum.

13310 is received as the amount after 3 years when a sum of money was deposited at compound interest at 10% per annum compounded annually.

Period (n) = 3 years∴ Amount = P (1+R100)n=Rs. 10000 (1+10100)3=Rs. 10000×1110×1110×1110=Rs. 13310C.I.

13310 ,P=rs. 10000,t= 3 years. 100÷10=x. hence ,the required rate =10%p.

∴ T=2years.

10,000 will sum up to Rs. 12,100 at 10% per annum, in 2 years.

If you invest $10,000 today at 10% interest, how much will you have in 10 years? Summary: The future value of the investment of $10000 after 10 years at 10% will be $ 25940.

Hence sum=Rs. 10,000.

∴ Compound Interest =Rs12100−Rs10000=Rs2100.

Step 4: Calculate the total compound interest. Therefore, the total compound interest is Rs. 1261.

What is the interest rate per annum if Rs 5000 amounts to Rs 5832 in two years compounded annually? ›

5000/- will become an amount of Rs. 5832/- at compound interest rate of 8% per annum. Q4.

Detailed Solution. The amount will double again in another 10 years. So, the amount will become Rs. 4000 in another 10 years.

10000 will become Rs. 13310 at 20% per annum, compounded half-yearly in 1.5 years.

The compound interest on Rs 1000 at the rate of 10% per annum for 18 months when compounded half-yearly is approximately Rs 157.63.

So, CI = Rs 6050 - Rs 5000 = Rs. 1050.

The compound interest on Rs 1000 at the rate of 10% per annum for 18 months when compounded half-yearly is Rs 157.625.

We know thatA = P(1+r100)n ⇒ (1+r100)n=AP⇒ (1+10100)n=21781800⇒ (1110)n=121100=(1110)n(Dividing by 18)∴ While comparing, we getn=2∴ Period = 2 years Ans.

at what rate percent per annum will a sum of rupee 1000 amounts to rupee 1331 in 3 years, compounded annually. Given P = 1000, n = 3 years, A = 1331 rupees. r = 10. Therefore, the required rate of interest per annum is 10%.