Advertisements
Advertisements
प्रश्न
If principal = Rs 1,00,000, rate of interest = 10% compounded half yearly. Find
- Interest for 6 months.
- Amount after 6 months.
- Interest for next 6 months.
- Amount after one year.
Advertisements
उत्तर
Principal (P) = ₹ 100000
Rate of interest (R) = 10% compounded half-yearly
i. Interest for 6 months,
We know that,
Compound interest, CI = A – P
Where, `A = P(1 + R/200)^n` ...[For 6 months]
∴ `A = P(1 + R/200)^n = 100000(1 + 10/200)^1` ...[∵ n = 1 for 6 months]
= `100000 xx 21/20`
= ₹ 105000
∴ Compound interest, CI = A – P
= ₹ 105000 – ₹ 100000
= ₹ 5000
ii. Amount after 6 months = ₹ 105000
iii. Interest for next 6 months
Principal = Amount after 6 months
∴ Principal (P) = ₹ 105000
Rate of interest (R) = 10%
∴ `A = P(1 + R/200)^n`
= `105000(1 + 10/200)^1` ...[∵ n = 1 for 6 months]
= `105000 xx 21/20`
= `2205000/20`
= ₹ 110250
∵ Compound interest, CI = A – P
= ₹ 110250 – ₹ 105000
= ₹ 5250
iv. Amount after one year = ₹ 110250
APPEARS IN
संबंधित प्रश्न
Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find.
1) The amount credited against her name at the end of the second year
2) The interest for the 3rd year.
What will be the compound interest on Rs 4000 in two years when rate of interest is 5% per annum?
Mewa Lal borrowed Rs 20000 from his friend Rooplal at 18% per annum simple interest. He lent it to Rampal at the same rate but compounded annually. Find his gain after 2 years.
Find the compound interest at the rate of 10% per annum for two years on that principal which in two years at the rate of 10% per annum gives Rs 200 as simple interest.
Find the amount of Rs 4096 for 18 months at
Find the rate at which a sum of money will become four times the original amount in 2 years, if the interest is compounded half-yearly.
Find CI paid when a sum of Rs. 10,000 is invested for 1 year and 3 months at `8 1/2%` per annum compounded annually.
The compound interest on a sum of Rs P for T years at R% per annum compounded annually is given by the formula `P(1 + R/100)`.
If principal = Rs 1,00,000. rate of interest = 10% compounded half yearly. Find interest for next 6 months.
Rahim borrowed Rs 10,24,000 from a bank for one year. If the bank charges interest of 5% per annum, compounded half-yearly, what amount will he have to pay after the given time period. Also, find the interest paid by him.
