English

A Sum of Rs. 13,500 is Invested at 16% per Annum Compound Interest for 5years. Calculate : (I) the Interest for the First Year. (Ii) the Amount at the End of First Year. - Mathematics

Advertisements
Advertisements

Question

A sum of Rs. 13,500 is invested at 16% per annum compound interest for 5years. Calculate :
(i) the interest for the first year.
(ii) the amount at the end of first year.
(iii) the interest for the second year, correct to the nearest rupee.

Sum

Solution

For 1st year :

P = Rs. 13,500; R = 16% and T = 1 year

Interest = Rs. `[13,500 xx 16 xx 1]/[100]`= Rs. 2,160

Amount = Rs. 13,500 + Rs. 2,160= Rs. 15,660

For 2nd year :

P = Rs. 15,660; R = 16% and T = 1 year

Interest = Rs. `[15,660 xx 16 xx 1]/[100]`= Rs. 2,505.60 = Rs. 2,506

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Compound Interest (Without using formula) - Exercise 2 (D) [Page 39]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 2 Compound Interest (Without using formula)
Exercise 2 (D) | Q 7 | Page 39

RELATED QUESTIONS

Calculate the amount and compound interest on  Rs 18000 for `2 1/2` years at 10% per annum compounded annually.

 


Find the compound interest at the rate of 5% per annum for 3 years on that principal which in 3 years at the rate of 5% per annum gives Rs 1200 as simple interest.


The interest on a sum of Rs 2000 is being compounded annually at the rate of 4% per annum. Find the period for which the compound interest is Rs 163.20.


In what time will Rs 1000 amount to Rs 1331 at 10% per annum, compound interest?


The difference between the compound interest and simple interest on a certain sum for 2 years at 7.5% per annum is Rs 360. 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?


Find the amount and the compound interest.

No. Principal (₹) Rate (p.c.p.a.) Duration
(Years)
1 2000 5 2
2 5000 8 3
3 4000 7.5 2

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 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.


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 original sum.


Mohit invests Rs. 8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate : 
(i) the rate of interest per annum.
(ii) the amount at the end of the second year.
(iii) the interest accrued in the third year.


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.


Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate :
(i) the interest paid for the second year.
(ii) the total interest paid in two years.
(iii) the total amount of money paid in two years to clear the debt.


Rachna borrows Rs. 12,000 at 10 percent per annum interest compounded half-yearly. She repays Rs. 4,000 at the end of every six months. Calculate the third payment she has to make at end of 18 months in order to clear the entire loan.


On a certain sum of money, invested at the rate of 10 percent per annum compounded annually, the interest for the first year plus the interest for the third year is Rs. 2,652. Find the sum.


Calculate the compound interest on Rs. 5,000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.


Calculate the compound interest on Rs. 15,000 in 3 years; if the rates of interest for successive years be 6%, 8%, and 10% respectively.


Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.


A man invests Rs. 9600 at 10% per annum compound interest for 3 years. Calculate :
(i) the interest for the first year.
(ii) the amount at the end of the first year.
(iii) the interest for the second year.
(iv) the interest for the third year. the interest for the first year.


The compound interest on ₹ 5000 at 12% p.a for 2 years, compounded annually is ___________


If the compound interest is calculated quarterly, the amount is found using the formula __________


Depreciation value is calculated by the formula, `"P"(1 - "r"/100)^"n"`


Find the compound interest on ₹ 3200 at 2.5% p.a for 2 years, compounded annually


Find the compound interest for `2 1/2` years on ₹ 4000 at 10% p.a, if the interest is compounded yearly


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


Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities.

  1. C > S
  2. C = S
  3. C < S

Then


Suppose a certain sum doubles in 2 years at r % rate of simple interest per annum or at R% rate of interest per annum compounded annually. We have ______.


Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×