Advertisements
Advertisements
प्रश्न
Find the C.I. on ₹ 15000 for 3 years if the rates of interest are 15%, 20% and 25% for the I, II and III years respectively
Advertisements
उत्तर
Principal (P) = ₹ 15000
Rate of interest 1 (a) = 15% for year I
Rate of interest 2 (b) = 20% for year II
Rate of interest 3 (c) = 25% for year III
Formula for amount when rate of interest is different for different years is
A = `(1 + "a"/100)^1 (1 + "b"/100)^1 (1 + "c"/100)^1`
Substituting in the above formula, we get
A = `15000(1 + 15/100)(1 + 20/100)(1 + 25/100)`
= `15000 xx 115/100 xx 120/100 xx 125/100`
= 25,875
∴ Compound Interest (C.I.) = A – P
= 25,875 – 15,000
= ₹ 10,875
∴ C.I. = ₹ 10,875
APPEARS IN
संबंधित प्रश्न
The difference between the S.I. and C.I. on a certain sum of money for 2 years at 4% per annum is Rs 20. Find the sum.
The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?
A sum is invested at compound interest, compounded yearly. If the interest for two successive years is Rs. 5,700 and Rs. 7,410. calculate the rate of interest.
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.
Geeta borrowed Rs. 15,000 for 18 months at a certain rate of interest compounded semi-annually. If at the end of six months it amounted to Rs. 15,600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta must pay at the end of 18 months in order to clear the account.
A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 30% of the sum borrowed. How much money is left unpaid just after the second year ?
A man borrowed Rs. 20,000 for 2 years at 8% per year compound interest. Calculate :
(i) the interest of the first year.
(ii) the interest of the second year.
(iii) the final amount at the end of the second year.
(iv) the compound interest of two years.
Calculate the compound interest on Rs. 5,000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.
Rohit borrowed ₹ 40,000 for 2 years at 10% per annum C.I. and Manish borrowed the same sum for the same time at 10.5% per annum simple interest. Which of these two gets less interest and by how much?
Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities.
- C > S
- C = S
- C < S
Then
