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.
Advertisements
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.
संबंधित प्रश्न
The simple interest on a certain sum in 2 years is Rs 1,300, whereas the compound interest on the same sum at the same rate and for the same time is Rs 1,365. Find the rate per cent and the sum.
Find the difference between the compound interest and the simple interest in 3 years on Rs 15,000 at 8% p.a. compounded yearly.
Find the difference between the compound interest compounded yearly and half-yearly for the following:
Rs 20,000 for `1 1/2` years at 16 % p.a.
On what sum will the difference between compound interest and the simple interest for 2 years at `7 1/2` % be Rs 22.50 ?
On what sum will the difference between compound interest and the simple interest for 3 years at 12% be Rs 1,123.20?
The population of a town in the year 2005 was 4, 25,000. Find its population in the year 2007 if the rate of annual increase is 4% per year.
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 cost of a T.V. was quoted Rs 17,000 at the beginning of the year 1999. In the beginning of 2000 the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What is the cost of the T.V. in 2001?
A sum of money is lent out at compound interest for two years at 20% p.a., being reckoned yearly. If the same sum of the money was lent Gut at compound interest of the same rate of percent per annum C.I., being reckoned half yearly would have fetched Rs. 482 more by way of interest. Calculate the sum of money lent out.
