What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 1.
Calculate the amount and compound interest on
(i) ₹15000 for 2 years at 10% per annum compounded annually.
(ii) ₹156250 for \(1 \frac{1}{2}\) years at 8% per annum compounded half-yearly.
(iii) ₹ 100000 for 9 months at 4% per annum compounded quarterly.
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 2.
Find the difference between the simple interest and compound interest on ₹4800 for 2 years at 5% per annum, compound interest being reckoned annually.
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 3.
Find the compound interest on ₹3125 for 3 years if the rates of interest for the first, second and third year are respectively 4%, 5% and 6% per annum.
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 4.
Kamla borrowed ₹26400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 5.
Anil borrowed ₹18000 from Rakesh at 8% per annum simple interest for 2 years. If Anil had borrowed this sum at 8% per annum compound interest, what extra amount would he has to pay?
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 6.
Mukesh borrowed 775000 from a bank. If the rate of interest is 12% per annum, find the amount he would be paying after \(1 \frac{1}{2}\) years if the interest is
(i) compounded annually
(ii) compounded half-yearly.
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 7.
Aryaman invested ₹10000 in a company, he would be paid interest at 7% per annum compounded annually. Find
(i) the amount received by him at the end of 2 years.
(ii) the interest for the 3rd year.
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 8.
What sum of money will amount to ₹9261 in 3 years at 5% per annum compound interest?
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 9.
What sum invested for \(1 \frac{1}{2}\) years compounded half-yearly at the rate 8% p.a. will amount to ₹ 140608?
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 10.
At what rate percent will ₹2000 amount to ₹2315·25 in 3 years at compound interest?
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 11.
If ₹40000 amounts to ₹46305 in \(1 \frac{1}{2}\) years, compound interest payable half-yearly, find the rate of interest per annum.
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 12.
In what time will ₹15625 amount to ₹ 17576 at 4% per annum compound interest?
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

Question 13.
₹ 16000 invested at 10% p.a. compounded semi-annually, amounts to ₹18522. Find the time period of investment.
Solution:

What sum invested for one and half years compounded half yearly at the rate 8% pa will amount to Rs 140608?

ML Aggarwal Class 8 Solutions for ICSE Maths

What sum invested for 1 years compounded half yearly at the rate 8% pa will?

Find the sum invested for 112 years compounded half-yearly at the rate of 8% per annum. that will amount to Rs. 17576.

What sum invested for 1 and half years compounded half yearly at the rate 8% pa will amount to rupees 140608?

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 is 1.5 years compounded half yearly?

12000 is invested for 1.5 years which will be compounded half yearly at a rate of 10%.

How do you calculate compound interest for 1.5 years compounded annually?

Detailed Solution.
Given: P = Rs. 15000, R = 20%, T = 1.5 year..
Concept used: When Calculating semi annually, rate gets halved and time gets doubled..
Calculation: C.I. semi annually ⇒ R = 10%, T = 3 years. C.I. = P [(1 + R/100)T -1] C.I. = 15000[(1 + 10/100)3 -1] = 15000 × (1331 – 1000) × 1000. = 15 × 331. ⇒ C.I. = Rs. 4965..