Simple Interest & Compound Interest – Part 3

Dear Readers,

Hope the preparations for SBI exams are at peak level. SI & CI is one of the important topics to be covered while preparing for competitive exams.

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1) Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
a) Rs.1261
b) Rs.1440
c) Rs.1185
d) Rs.1346

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Answer a) Rs.1261
A = 8000(21/20)3
= 9261
= 9261 – 8000
= 1261

2) If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
a) Rs.8082
b) Rs.7800
c) Rs.8100
d) Rs.8112

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Answer d) Rs.8112
A = 7500(26/25)2 = 8112

3) Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
a) Rs.81000
b) Rs.80000
c) Rs.75000
d) Rs.64000

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Answer a) Rs.81000
64000* 9/8 * 9/8 = 81000

4) A sum of money amounts to Rs.10648 in 3 years and Rs.9680 in 2 years. The rate of interest is :
a) 5%
b) 10%
c) 15%
d) 20%
e) 18%

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Answer b) 10%

5) A sum amounts to Rs.2916 in 2 years and to Rs.3149.28 in 3 years at compound interest. The sum is :
a) Rs.1500
b) Rs.2000
c) Rs.2500
d) Rs.3000
e) Rs. 3500

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Answer b) Rs.2000

6) A loan was repaid in two annual installments of Rs.112 each. If the rate of interest be 10% per annum compounded annually, the sum borrowed was :
a) Rs.200
b) Rs.210
c) Rs.217.80
d) Rs.280
e) Rs. 290

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Answer b) Rs.210
Principal = (Present value of Rs.121 due 1 year hence ) + (Present value of Rs.121 due 2 years
= Rs. 121(1+10/100)+121(1+10/100)2 =Rs.210

7) The simple interest on a certain sum for 8 months at 4% per annum is Rs. 129 less than the simple interest on the same sum for 15 months at 5% per annum. The sum is:
a) Rs. 2580
b) Rs. 2400
c) Rs. 2529
d) Rs. 3600
e) None of these

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Answer d) Rs. 3600
Let the sum be Rs. x
(x ×5 ×15)/(100 ×12)-(x ×4 ×8)/(100 ×12)=129
x/(100×12) (75-32)=129
x=(129×1200)/43= Rs. 3600

8) A person deposited Rs. 400 for 2 years, Rs. 550 for 4 years and Rs. 1,200 for 6 years. He received the total simple interest of Rs. 1,020. The rate of interest per annum is ?
a) 10%
b) 5%
c) 15%
d) 20%
e) None of these

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Answer a) 10%
Let the rate of interest be R per cent per annum.
(400×2×R)/100+(550×4×R)/100+(1200×6×R)/100=1020
8R + 22R + 72R = 1020
102 R =1020
R = 1020/102=10%

9) A sum of money becomes 7/6 of itself in 3 years at a certain rate of simple interest. The rate per annum is?
a) 5 5/9%
b) 6 5/9%
c) 18%
d) 25%
e) None of these

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Answer a) 5 5/9%
Principal = P
Amount = 7p/6
S.I. = 7p/6-P=P/6
? R=(S.I×100)/(P×T)=(P×100)/(6×p×3)
= 50/9=5 5/9%

10) At what rate per cent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?
a) 4
b) 6
c) 52/3
d) 62/3
e) None of these

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Answer a) 4