1. A sum of money at simple interest amounts to
Rs. 815 in 3 years and to Rs. 854 in 4 years. The
sum is:
A) Rs. 720
B) Rs. 698
C) Rs. 678
D) Rs. 696
E) none of these
2) A bank offers 10% compound interest calculated on
half-yearly basis. A customer deposits Rs. 2000 each on 1st January and 1 st July of a year. At
the end of the year, the amount he would have
gained by way of interest is:
A) 305
B) 306
C) 300
D) 306
E) none
3)The difference between simple and compound
interests compounded annually on a certain sum
of money for 2 years at 4% per annum is Re. 1.
The sum (in Rs.) is:
A. 625
B. 630
C. 640
D. 650
E. none
4)There is 60% increase in an amount in 6 years at
simple interest. What will be the compound
interest of Rs. 12,000 after 3 years at the same
rate?
A. Rs. 2160
B. Rs. 3120
C. Rs. 3972
D. Rs. 6240
E. None of these
5) The difference between compound interest and
simple interest on an amount of Rs. 15,000 for 2
years is Rs. 96. What is the rate of interest per
annum?
A. 9%
B. 12%
C. 8%
D. 6%
E.none
6) If the simple interest on a sum of money for 2
years at 5% per annum is Rs. 60, what is the
compound interest on the same at the same rate
and for the same time?
A. Rs. 63.5
B. Rs. 62
C. Rs. 61.5
D. Rs. 64
E. None
7) A sum of money is lent at 20% p.a. compound interest for 2 years. The difference between the amounts received when compounded semi-annually and compounded annually is Rs 60.25. What is the sum of money lent?
A.2500
B.2600
C.2000
D.1700
E.none
8. The difference between simple interest and
compound on Rs. 900 for one year at 10% per
annum reckoned half-yearly is:
A. Rs. 3
B. Rs. 2.25
C. Rs. 4.5
D. Rs. 4
E. None
9) A person borrows Rs. 5000 for 2 years at 4%
p.a. simple interest. He immediately lends it to
another person at 6.25% p.a. for 2 years.Find his
gain in the transaction per year.
A) Rs. 112.50
B) Rs. 175
C) Rs. 150
D) Rs. 125.50
10) A man took loan from a bank at the rate of
12% p.a. simple interest. After 3 years he had to
pay Rs. 5400 interest only for the period.The
principal amount borrowed by him was:
A) Rs. 12000
B) Rs.15000
C) Rs. 12500
D) Rs. 22000
Solution...
Rule 1) 2 year CI= (2×r)+( r^2/100)
Rule 2) 3year CI= (3×r)+(3×r^2/100)+ (r^3/100^2)
Rule 3) 2year difference between SI and CI
Difference= sum × (r/100)^2
Now ans))
1) B
1year interest 854-815=39
3year interest 39×3=117
Sum=815-117=698
2) A
2000×5%=100
Then (2000+2000+100)× 5%=205
Total 100+205=305
3) A
P=100×100/4×4= 625
4) C
6year 60%
1year 10% rate
3year 10% CI=33.1%
12000×33.1%=3972
5) C
Difference=P×(r/100)^2
D=96
P=15000
So r=8%
6) C
2year 5% SI=10%
2year 5% CI=10.25%
10%=60rs
10.25%=61.50rs
7) A
20% CI for 2 year=44%
10% CI for 4 year=46.41% ( as compounded half yearly)
46.41-44%=60.25
2.41%=60.25
100%=2500
8) B
10% 1year=10%
5% 1year =10.25% (compounded half yearly)
900×0.25%=2.25
(10.25-10=0.25)
9) A
5000× (6.25-4)
5000×2.25%=112.50
10) B
12×3=36%
36%=5400
100%=15000
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Rs. 815 in 3 years and to Rs. 854 in 4 years. The
sum is:
A) Rs. 720
B) Rs. 698
C) Rs. 678
D) Rs. 696
E) none of these
2) A bank offers 10% compound interest calculated on
half-yearly basis. A customer deposits Rs. 2000 each on 1st January and 1 st July of a year. At
the end of the year, the amount he would have
gained by way of interest is:
A) 305
B) 306
C) 300
D) 306
E) none
3)The difference between simple and compound
interests compounded annually on a certain sum
of money for 2 years at 4% per annum is Re. 1.
The sum (in Rs.) is:
A. 625
B. 630
C. 640
D. 650
E. none
4)There is 60% increase in an amount in 6 years at
simple interest. What will be the compound
interest of Rs. 12,000 after 3 years at the same
rate?
A. Rs. 2160
B. Rs. 3120
C. Rs. 3972
D. Rs. 6240
E. None of these
5) The difference between compound interest and
simple interest on an amount of Rs. 15,000 for 2
years is Rs. 96. What is the rate of interest per
annum?
A. 9%
B. 12%
C. 8%
D. 6%
E.none
6) If the simple interest on a sum of money for 2
years at 5% per annum is Rs. 60, what is the
compound interest on the same at the same rate
and for the same time?
A. Rs. 63.5
B. Rs. 62
C. Rs. 61.5
D. Rs. 64
E. None
7) A sum of money is lent at 20% p.a. compound interest for 2 years. The difference between the amounts received when compounded semi-annually and compounded annually is Rs 60.25. What is the sum of money lent?
A.2500
B.2600
C.2000
D.1700
E.none
8. The difference between simple interest and
compound on Rs. 900 for one year at 10% per
annum reckoned half-yearly is:
A. Rs. 3
B. Rs. 2.25
C. Rs. 4.5
D. Rs. 4
E. None
9) A person borrows Rs. 5000 for 2 years at 4%
p.a. simple interest. He immediately lends it to
another person at 6.25% p.a. for 2 years.Find his
gain in the transaction per year.
A) Rs. 112.50
B) Rs. 175
C) Rs. 150
D) Rs. 125.50
10) A man took loan from a bank at the rate of
12% p.a. simple interest. After 3 years he had to
pay Rs. 5400 interest only for the period.The
principal amount borrowed by him was:
A) Rs. 12000
B) Rs.15000
C) Rs. 12500
D) Rs. 22000
Solution...
Rule 1) 2 year CI= (2×r)+( r^2/100)
Rule 2) 3year CI= (3×r)+(3×r^2/100)+ (r^3/100^2)
Rule 3) 2year difference between SI and CI
Difference= sum × (r/100)^2
Now ans))
1) B
1year interest 854-815=39
3year interest 39×3=117
Sum=815-117=698
2) A
2000×5%=100
Then (2000+2000+100)× 5%=205
Total 100+205=305
3) A
P=100×100/4×4= 625
4) C
6year 60%
1year 10% rate
3year 10% CI=33.1%
12000×33.1%=3972
5) C
Difference=P×(r/100)^2
D=96
P=15000
So r=8%
6) C
2year 5% SI=10%
2year 5% CI=10.25%
10%=60rs
10.25%=61.50rs
7) A
20% CI for 2 year=44%
10% CI for 4 year=46.41% ( as compounded half yearly)
46.41-44%=60.25
2.41%=60.25
100%=2500
8) B
10% 1year=10%
5% 1year =10.25% (compounded half yearly)
900×0.25%=2.25
(10.25-10=0.25)
9) A
5000× (6.25-4)
5000×2.25%=112.50
10) B
12×3=36%
36%=5400
100%=15000
Posted By : Mampi
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