Advertisements
Advertisements
प्रश्न
A sum of money amounts to ₹ 2,240 at 4 % p.a., simple interest in 3 years. Find the interest on the same sum for 6 months at 3`(1)/(2)`% p.a.
उत्तर
Let P = ₹ 100
S.I. = `"PRT"/(100)`
= ₹ `(100 xx 4 xx 3)/(100)`
= ₹ 12
A = P + S.I.
= ₹ 100 + ₹ 12
= ₹ 112
If A is ₹ 112 then P is ₹ 100
If A is ₹ 1 then P is ₹`(100)/(112)`
If A is ₹ 2,240 then P be `(100)/(112) xx 2,240`
= ₹ 100 x 20
= ₹ 2,000
So, principal is ₹ 2,000
Now, for second case
P = ₹ 2,000
Time = 6 months = `(1)/(2)"year"`
R = `3(1)/(2) = (7)/(2)`% p.a.
2,000 x `(7)/(2) xx (1)/(2)`
∴ S.I. = ₹`(2,000 xx (7)/(2) xx (1)/(2))/(100)`
= ₹ `(2,000 xx 7 xx 1)/(100 xx 2 xx 2)`
= ₹ `(20 xx 7)/(4)`
= ₹ 35.
APPEARS IN
संबंधित प्रश्न
Find the difference between the compound interest and the simple interest in 3 years on Rs 15,000 at 8% p.a. compounded yearly.
Meera borrowed Rs 35,000 at 12.5% p.a. simple interest for 3 years. She immediately gave it to Archana at 12 % p.a. compound interest compounded annually. Find Meera's loss or gain at the end of 3 years.
On what sum will the difference between compound interest and the simple interest for 2 years at `7 1/2` % be Rs 22.50 ?
The population of a city is 1, 25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of the city after 3 years.
In a factory the production of scooters rose to 46,305 from 40,000 in 3 years. Find the annual rate of growth of the production of scooters.
The population of a city is 24,000. In the next 3 years it will be 27,783. Find the rate of growth of the population.
Under the electrification programme of villages, the number of villages with electricity rose to 27,040 from 25,000 in 2 years. Find the rate of growth in the number of villages with electricity.
The value of a property decreases every year at the rate of 5%. If its value at the end of 3 years be Rs 44,540, what was the original value at the beginning of these 3 years?
A mango tree was planted 3 years ago. The rate of growth is 20% per annum. If at present, the height of the tree is 1 m 8 cm, how high was it when planted?
Find the Compound Interest on Rs. 2,000 for 3 years at 15% per annum Compounded annually.
