Advertisements
Advertisements
प्रश्न
Find the compound interest for `2 1/2` years on ₹ 4000 at 10% p.a, if the interest is compounded yearly
उत्तर
Principal (P) = ₹ 4000
r = 10% p.a
Compounded yearly
n = `2 1/2` years.
Since it is of the form `"a" "b"/"c"` years
Amount (A) = `(1 + "r"/100)^"n" (1 + ("b"/"c" xx "r")/100)`
= `4000(1 + 10/100)^2 (1 + (1/2 xx 10)/100)^1`
= `4000 xx (110/100)^2 xx (105/100)^1`
= 4000 × 1.1 × 1.1 × 1.05
= 5082
∴ C.I. = Amount – Principal
= 5082 – 4000
= 1082
APPEARS IN
संबंधित प्रश्न
Calculate the amount and compound interest on Rs 62500 for `1 1/2` years at 8% per annum compounded half yearly.
What will Rs 125000 amount to at the rate of 6%, if the interest is calculated after every 3 months?
A certain sum of money is put at compound interest, compounded half-yearly. If the interest for two successive half-years are Rs. 650 and Rs. 760.50; find the rate of interest.
A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find : the rate of interest.
Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find:
(i) the sum due to Ramesh at the end of the first year.
(ii) the interest he earns for the second year.
(iii) the total amount due to him at the end of the third year.
Calculate the compound interest on Rs. 5,000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.
Find the difference between simple and compound interest on Rs 5000 invested for 3 years at 6% p.a., interest payable yearly.
The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.
Depreciation value is calculated by the formula, `"P"(1 - "r"/100)^"n"`
Compound interest is the interest calculated on the previous year’s amount.
