The compound interest earned in the third and the fourth years on a certain sum of money are Rs.576 and Rs.691.2. Find the sum.

- Option 1)
Rs.1400

- Option 2)
Rs.1200

- Option 3)
Rs.1600

- Option 4)
Rs.2000

- Option 5)
Rs.1000

A certain sum of money increased by 72.8% at a certain rate in three years with interest being compounded annually. If the same sum is lent at simple interest at the same rate of interest, in how many years would it become four times itself?

- Option 1)
5 years

- Option 2)
8 years

- Option 3)
6 years

- Option 4)
15 years

- Option 5)
11 years

let p = 100 then rate
If a sum of is getting 4 times then the sum gets 300 % interest
So , P to

I invested Rs.50000 in a business. In the first year I suffered a loss of 5%. In the second and the third years (assuming that profit was reinvested for the next year), I made profits of 10% and 15%. Instead had I invested the money at 10% p.a. compound interest for the three years, how much additional amount would I have earned?

- Option 1)
Rs.3842.50

- Option 2)
Rs.6460.50

- Option 3)
Rs.6462.50

- Option 4)
Rs 8842

- Option 5)
Rs.4242.50

Loss of 5 %
Remaining amount
After 10 % gain
Amount
After 15 5 gain amount
Amount compounded annually at 10 % p.a
For three year
Difference

A sum of money is lent at a certain rate of interest at compound interest. If, instead the same amount was lent at simple interest the interest for the first two years reduces by Rs.160 and that for the first three years reduces by Rs.488. Find the sum

- Option 1)
Rs.22000

- Option 2)
Rs.46000

- Option 3)
Rs.52000

- Option 4)
Rs.64000

- Option 5)
Rs.46000

B is the difference B/w 2 years of interest So B = 160
Difference B/w 3 years of C.I and S.I
C is calculated on 8

A sum of money under compound interest doubles itself in 4 years. In how many years will it become 16 times itself?

- Option 1)
12 years

- Option 2)
16 years

- Option 3)
10 years

- Option 4)
None of these

- Option 5)
8 years

if time is constant then the ratio of principal and amount is always constant in compound interest .
in 4 years sum become doubled P become 2P
p _____4 years ____2p___4years _____8p ___4 years ____ 16 p
4+4+4+4= 16 years

A certain loan amounts, under compound interest, compounded annually earns an interest of Rs.1980 in the second year and Rs.2178 in the third year. How much interest did it earn in the first year?

- Option 1)
Rs.1600

- Option 2)
Rs.1800

- Option 3)
Rs.2100

- Option 4)
None of these

- Option 5)
Rs.1900

Interest in 2nd year = 1980 Rs.
Interest in 3rd year = 2178 Rs.
Difference
Rate of interest
If the rate of rate of interest is 10 % compounded annually then the interest in second year is 11 %
It means 1980 is 11% and we have to calculate first year i.e we have to calculate 10 % of p
Interest of 1st year

A man borrowed Rs.80000 at the rate of 10% p.a. compound interest, interest being compounded annually. How much amount should he have repaid at the end of the first year, if by repaying Rs.55000 at the end of the second year he can clear the loan?

- Option 1)
Rs.38000

- Option 2)
Rs.33000

- Option 3)
Rs.45000

- Option 4)
Rs.50000

- Option 5)
Rs.40000

P= 80000
R = 10 % ‘
after first year amount = 88000
10 % rate compounded annually
If we paid 55000 at the end of the 2nd year it means we paid 110 % of amount left after paid certain from the 1st year . C.I always calculated on previous year amount
So that certain amount is paid after first year then the remaining amount is equal to 50000.
i.e the certain amount paid after 1st year is...

A sum was lent at 20%p.a compound interest, the interest being compounded annually. Rs.1200 was paid back after 1 year. After another year Rs. 1440 was repaid to clear the loan. Find the sum lent.

- Option 1)
Rs.5000

- Option 2)
Rs.6000

- Option 3)
Rs 2000

- Option 4)
Rs 4000

- Option 5)
Rs.8000

R = 20 % P.A
Paid back after 1st year = 1200
Paid back after year to clear the loan = 1440
Let, P =
Then =

Which of the following rates of interest yield the maximum interest in 2 years on a certain sum?

- Option 1)
Interest compounded per month at 1% p.m.

- Option 2)
Interest compounded per month at 1.5% p.m.

- Option 3)
Interest compounded per half year at 6% per half year

- Option 4)
Interest compounded per year at 12% p.a.

- Option 5)
Interest compounded per quarter at 3% per quarter

As interest compounded per month at 1 % so on a fixed principal interest will be given 12 times in a year, greater the no. of times of interest calculated greater the amount in the end.

A sum doubles in 8 years at compound interest. In how many years will the sum become 4 times the original sum if the interest is compounded annually?

- Option 1)
- Option 2)
20

- Option 3)
- Option 4)
- Option 5)

if time is constant then , the ratio of principal and amount is always constant in compound interest .
in 8 years sum become double i.e p becomes 2p
8+8 = 16 years

A certain sum when lent at compound interest, the interest being compounded annually, amounts to Rs.1331 in 3 years and Rs. 1464.10 in 4 years. Find the rate of interest per annum.

- Option 1)
10%

- Option 2)
15%

- Option 3)
25%

- Option 4)
5%

- Option 5)
20%

The interest on a certain sum lent at compound interest, the interest being compounded annually, in the 2nd year is Rs.1200. The interest on it in the 3rd year is Rs 1440. Find the rate of interest per annum.

- Option 1)
10%

- Option 2)
15%

- Option 3)
20%

- Option 4)
30%

- Option 5)
25%

Interest of 2nd year = 1200
Interest of 3rd year = 1440
Difference = 240
In compound interest, interest in next year is calculated on previous year
So,
Increase in next year interest is what percent of the interest of previous year is = to the rate of interest

Find the effective rate of interest if the normal rate of interest is 10% p.a. and the interest is compounded every six months.

- Option 1)
21.5%

- Option 2)
10.25%

- Option 3)
5.25%

- Option 4)
11%

- Option 5)
10%

for this take 100 as principal
R = 10 % and half yearly rate will be 5 %
5+5+0.25 = 10.25 %

The difference between the interests earned on a principal under a certain rate of compound interest in pth year and (p + 1)th year is more than that in the qth year and (q + 1)th year if

- Option 1)
p > q

- Option 2)
- Option 3)
p = q

- Option 4)
can't say

- Option 5)
p<q

Because compound interest Is depend on the number of years, so if the interest in Pth year and (p+1) th years is greater than Qth years and (Q+1) th year if and only if P > q

Find the interest earned in the first year on Rs.400 at 20%p.a. compound interest, the interest being compounded half yearly.

- Option 1)
Rs.59

- Option 2)
Rs.72

- Option 3)
Rs.84

- Option 4)
Rs.144

- Option 5)
Rs.42

Because the interest compound half yearly
When interest calculated half yearly rate will be half and time will be double.
P = 400, R = 20 % P.A , T = 1 year
= 40 + 40 + 4
= 84

If Rs.2000 amounts to Rs.2880 in 2 years at compound interest, what is the rate of interest per annum if the interest is being compounded annually?

- Option 1)
10%

- Option 2)
20%

- Option 3)
15%

- Option 4)
30%

- Option 5)
25%

Find the compound interest earned on Rs.20000 for 2 years at 10% p.a. the interest being compounded annually.

- Option 1)
Rs. 2800

- Option 2)
Rs.4200

- Option 3)
Rs.6300

- Option 4)
Rs.5600

- Option 5)
Rs.2100

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