Maths-
General
Easy

Question

Kamal borrowed  Rs 15,000 for two years. The rate of interest for two successive years is 8% and 10% respectively. If he repays  Rs 6200 at the end of the first year, find the outstanding amount at the end of the second year.

The correct answer is: 11000 Rupees


    SOLUTION:
    HINT: Find the total amount at first year, then subtract the repaid amount and then find the amount
    to be paid at the end of second year.
    Complete step by step solution:
    For first year,
    Let the money borrowed by Kamal be the principal amount, P1 = 15000 Rupees
    Here we have rate of interest R = 8% number of years T = 1
    We know that A equals P subscript 1 open parentheses 1 plus R over 100 close parentheses to the power of T
    So, total amount after one year = A equals 15000 open parentheses 1 plus 8 over 100 close parentheses to the power of 1
    not stretchy rightwards double arrow A equals 15000 cross times 27 over 25 equals 16200 Rupees.
    Money repaid at the end of first year = 6200 Rupees.
    ∴ Balance = 16200 - 6200 = 10000 Rupees.
    For second year,
    The principal amount becomes P2 = 10000 Rupees.
    Here we have rate of interest R = 10% number of years T = 1
    We know that A equals P subscript 2 open parentheses 1 plus R over 100 close parentheses to the power of T
    So. total amount after second year = A equals 10000 open parentheses 1 plus 10 over 100 close parentheses to the power of 1
    not stretchy rightwards double arrow A equals 10000 cross times 11 over 100 equals 11000 Rupees.
    Hence the amount to be paid at the end of second year = 11000 Rupees.

    Related Questions to study

    General
    Maths-

    In what period will  Rs 12,000 yields Rs3,972 as compound interest at 10% per annum; if compounded every year.

    In what period will  Rs 12,000 yields Rs3,972 as compound interest at 10% per annum; if compounded every year.

    Maths-General
    General
    Maths-

    On what sum of money will the difference between the compound interest and simple interest for 2years be equal to Rs 25 if the rate of interest charged for both is 5% p.a.
     

    On what sum of money will the difference between the compound interest and simple interest for 2years be equal to Rs 25 if the rate of interest charged for both is 5% p.a.
     

    Maths-General
    General
    Maths-

    At what rate % p.a will a sum of  Rs4000 yield 1324 as compound interest in 3 yrs
     

    At what rate % p.a will a sum of  Rs4000 yield 1324 as compound interest in 3 yrs
     

    Maths-General
    parallel
    General
    Maths-

    The compound interest, calculated yearly, on a certain sum of money for the second year is Rs1320 and for the third year is Rs1452. Calculate the rate of interest and the original sum of money.

    The compound interest, calculated yearly, on a certain sum of money for the second year is Rs1320 and for the third year is Rs1452. Calculate the rate of interest and the original sum of money.

    Maths-General
    General
    Maths-

    Ranbir borrows  Rs20,000 at 12% per annum compound interest. If he repays  Rs8400 at the end of the first year and  Rs9680 at the end of the second year. Find the amount of loan outstanding at the beginning of the third year.

    Ranbir borrows  Rs20,000 at 12% per annum compound interest. If he repays  Rs8400 at the end of the first year and  Rs9680 at the end of the second year. Find the amount of loan outstanding at the beginning of the third year.

    Maths-General
    General
    Maths-

    The present population of a town is 200000. Its population increases by 10% in the first year and 15% in the second year. Find the population of the town at the end of the two years.

    The present population of a town is 200000. Its population increases by 10% in the first year and 15% in the second year. Find the population of the town at the end of the two years.

    Maths-General
    parallel
    General
    Maths-

    In what time will Rs1500 yield  Rs1996.50 as compound interest at 10% per annum compounded annually?
     

    In what time will Rs1500 yield  Rs1996.50 as compound interest at 10% per annum compounded annually?
     

    Maths-General
    General
    Maths-

    Mr. utter invested  Rs5000 at a certain rate of interest, compounded annually for two years. At the end of the first year, it amounts to  Rs5325. Calculate (i) The rate of interest (ii) The amount at the end of the second year, to the nearest rupee.

    Mr. utter invested  Rs5000 at a certain rate of interest, compounded annually for two years. At the end of the first year, it amounts to  Rs5325. Calculate (i) The rate of interest (ii) The amount at the end of the second year, to the nearest rupee.

    Maths-General
    General
    Maths-

    On a certain sum of money, the difference between the compound interest for a year payable half-yearly and the simple interest for a year is  16. Find the sum lent out; if the rate of interest in both cases is 8%.

    On a certain sum of money, the difference between the compound interest for a year payable half-yearly and the simple interest for a year is  16. Find the sum lent out; if the rate of interest in both cases is 8%.

    Maths-General
    parallel
    General
    Maths-

    A   person invests  Rs6000 at 14% interest for 2 years. Calculate
    (i) the interest for the 1st year
    (ii)   the amount at the end of the first year
    (iii) the interest for the second year.

    A   person invests  Rs6000 at 14% interest for 2 years. Calculate
    (i) the interest for the 1st year
    (ii)   the amount at the end of the first year
    (iii) the interest for the second year.

    Maths-General
    General
    Maths-

    At what percent by simple interest will a sum of money double itself in 5 years 4 months?

    At what percent by simple interest will a sum of money double itself in 5 years 4 months?

    Maths-General
    General
    Maths-

    A sum of money lent out at simple interest amounts to Rs. 1240 in 4 years and Rs 1360 in 6 years. Find the sum and rate percent?

    A sum of money lent out at simple interest amounts to Rs. 1240 in 4 years and Rs 1360 in 6 years. Find the sum and rate percent?

    Maths-General
    parallel
    General
    Maths-

    The simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time if both are numerically equal?

    The simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time if both are numerically equal?

    Maths-General
    General
    Maths-

    At what rate percent per annum, simple interest will be Rs. 3600 amount to Rs. 4734 in 3 ½ years?

    At what rate percent per annum, simple interest will be Rs. 3600 amount to Rs. 4734 in 3 ½ years?

    Maths-General
    General
    Maths-

    A group of friends decided to divide the straight $ 20 cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those remaining still divided the straight $ 800 cost equally, but each friend's share of the cost increased by. straight $ 20 How many friends were in the group originally?

    A group of friends decided to divide the straight $ 20 cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those remaining still divided the straight $ 800 cost equally, but each friend's share of the cost increased by. straight $ 20 How many friends were in the group originally?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.