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1. Find the compound interest on Rs.6000 at
20% p.a. for 2 years, compounded annually.
1) Rs.2600 2) Rs.2400
3) Rs.2640 4) Rs.2480 5) Rs.2550
Sol: R
1st year 20%
2nd year 20% + 4% Ans: 3
2. In what time will Rs.8000 become Rs.9261 at
5% per annum compounded annually?
1) 5 yr 2) 3 yr 3) 4 yr 4) 2 yr 5) 6 yr
Sol: P = 8000; compound intrest in 1st year
5= × 8000 = 400
100
Interest
1st year 400 = 400
2nd year 400 20 = 420
3rd year 400 20 20 1 = 441 1261
Amount = 8000 + 1261 = 9261
∴ N = 3 years Ans: 2
3. A sum of money amounts to Rs.1210 in 2
years and Rs.1331 in 3 years a compound
interest (interest being compounded annually).
Find the rate percent of interest per annum.
1) 8% 2) 10% 3) 10.5% 4) 11% 5) 20%
Sol: In 3rd year
P 1210
A 1331
C.I 121
121R = × 100 = 10%
1210 Ans: 2
4. Rohan earns an interest of Rs.400 over 2
years on a simple interest basis and Rs.420
at the same interest rate on compound inter-
est basis. What is the compound interest for
2nd year?
1) 230 2) 250 3) 220 4) 200 5) 225
Sol: S.I C.I
I 200 200
II 200 200 + 20
400 420 Ans: 3
5. The simple interest on a certain principal for a
time period of 2 years at 16% p.a. is Rs.1280.
If the same principal is invested at 10% p.a.
compound interest compounded annually,
what will be the amount after 2 years? (in Rs.)
1) 800 2) 900 3) 4840 4) 630 5) 1050
Sol: 32% → 1280
121% → 4840 Ans: 3
6. A person lent Rs.4000 to another person at
certain rate of C.I after 2 years he got amount
Rs.5760. Have he lent the same sum for the
same time at the half of the previous rate of
interest, how much amount he would have
get?
1) Rs.4800 2) Rs.4840 3) Rs.4750
4) Rs.4640 5) Rs.5000
Sol: C.I = 5760 − 4000 = 1760
1760% = × 100 = 44% (For 2 years)
4000
R∴ R = 20%; = 10%
2
100% → 4000
121% → 4840 Ans: 2
7. A man invests Rs.5000 for three years at 5%
p.a. compound interest reckoned yearly.
Income Tax at the rate of 20% on the interest
earned is deducted at the end of each year.
Find the amount at the end of the third year.
1) Rs.5624.32 2) Rs.5423.32
3) Rs.5634 4) Rs.5976.32 5) Rs.5630
Sol: P = 5000
I 250 − 50 = 200
II (250 + 10 = 260 − 52) = 208
III 250 + 10 + 10.4 = 270.4 − 54.08 = 216.32
Amount = 5000 + 200 + 208 + 216.32
= 5624.32 Ans: 1
8. The simple interest received on a sum of
Rs.12600 at the rate of 8% in T years is
Rs.5040. Find the compound interest received
on the same sum in (T−3) years at the rate of
16.66% p.a. compounded annually.
1) Rs.4550 2) Rs.4650
3) Rs.4450 4) Rs.4750 5) Rs.4800
5040Sol: % = × 100 = 40%
12600
40T = = 5 years; (T − 3 = 2 years )
8
C.I ↓ P = 12600; R = 16.66%
I 2100
II 2100 + 350 4550
Ans: 1
9. Abhiram invested Rs.X at the rate of 15%
p.a. on compound interest for two years and
gets total interest of Rs.5805. If Abhiram
invested Rs.(X + 14000) for another two
years at additional rate 15%, then what will
be the compound intrest on that investment?
1) Rs.22080 2) Rs.24000 3) Rs.25200
4) Rs.26080 5) Rs.20080
Sol: C.I = 15 + 15 + 2.25 = 32.25%
32.25% → 5805
X = 100% → 18000
C.I ↓ P = 32000; R = 30%
I 9600
II 9600 + 2880
22080 Ans: 1
10. B borrowed Rs.5,000 from A at 6% p.a. sim-
ple interest and lends it to C at compound
interest of 10% p.a. If B collects the money
back from C after 2 years and repays A, the
profit made by B in the transaction is......
1) Rs.600 2) Rs.1,050 3) Rs.500
4) Rs.450 5) Rs.1,150
Sol: % = 21% − 12% = 9%
9Profit = × 5000 = 450
100 Ans: 4
11. Veer invested Rs.2,75,000 on simple interest
at the rate of 7% p.a. for two years and Rs.Y
on compound interest at the rate of 10% p.a.
for two years. If total simple interest obtained
in two years is equal to compound interest
only on second year then, find Y
1) Rs.3,50,000 2) Rs.3,00,000
3) Rs.4,00,000 4) Rs.2,50,000
5) Rs.4,50,000
Sol: S.I C.I
I 7% 10%
II 7% 11%
14% of 2,75,000 = 38500 → which is equals
to 11% of C.I
11% → 38500
100% → 3,500,00 Ans: 1
12. The simple interest occurred on a sum of
money at the rate of interest 5% per annum for
two years is Rs.410. The compound interest is
the same as simple interest as occurred on
other sum of money at the same rate of
interest and the same time. Find the difference
between the two sums of money principal.
1) Rs.80 2) Rs.90 3) Rs.150
4) Rs.100 5) Rs.180
Sol: S.I C.I
10% → 410 10.25% → 410
100% → 4100 100% → 4000
Difference = 100 Ans: 4
13. A money-lender borrows money at 4% per
annum and pays the interest at the end of
the year. He lends it at 6% per annum com-
pound interest compounded half yearly and
receives the interest at the end of the year.
In this way, he gains Rs.3344 a year. The
amount of money he borrows, is....
1) Rs.1,20,000 2) Rs.1,50,000
3) Rs.1,80,000 4) Rs.1,60,000
5) Rs.1,85,000
Sol: 6.09% − 4% = 2.09%
2.09% → 3344
100% → 1,60,000 Ans: 4
14. The difference in simple interest and com-
pound interest on a certain sum of money in
3 years at 20% p.a. is Rs.640. The sum is...
1) Rs.5000 2) Rs.8500 3) Rs.8250
4) Rs.6000 5) Rs.4000
Sol: S.I C.I
I 20% 20%
II 20% 20% + 4%
III 20% 20% + 4% + 4% + 0.8%
60% 72.8%
Difference = 12.8%
12.8% → 640
100% → 5000 Ans: 1
15. If a certain sum of money double itself in
3 years at certain rate of C.I. In how many
years does it 16 times itself at the same rate
of C.I?
1) 12 yr 2) 15 yr 3) 9 yr
4) 6 yr 5) 10 yr
3years 3 years 3 years 3 years
Sol: x → 2x → 4x → 8x → 16 x
After 12 years does it 16 times itself
Ans: 1
16. The compound interest on a sum of money
for 2 years is Rs.832 and the simple interest
on the same sum for the same period is
Rs.800. The difference between the
compound interest and simple interest for
3 years is.....
1) Rs.48 2) Rs.66.56 3) Rs.98.56
4) Rs.36.72 5) Rs.108.45
32Sol: R = × 100 = 8%
400
S.I C.I
I 400 400
II 400 400 + 32
III 400 400 + 32 + 32 + 2.56
1200 1298.5
∴ Difference = 98.56 Ans: 3
17. Rahul invested Rs.16,800 in scheme 'A' for
4 years. Scheme 'A' offers simple interest
@ 8 p.c.p.a. for the first two years and com-
pound interest @ 10 p.c.p.a. for the next
two years. What will be total interest earned
by Rahul after 4 years from scheme 'A'?
1) Rs.6336 2) Rs.6092 3) Rs.6216
4) Rs.6448 5) Rs.6400
Sol: S.I C.I
I 8% 10%
II 8% 11%
16% + 21% = 37%
37Total interest = × 16800 = 6216
100Ans: 3
18. A man gave 50% of his savings of Rs.84,100
to his wife and divided the remaining sum
between his two sons A and B of 15 and 13
years of age respectively. He divided it in
such a way that each of his sons, when they
attain the age of 18 years, would receive the
same amount at 5% compound interest per
annum. The share of B was.....
1) Rs.20,000 2) Rs.20,050 3) Rs.22000
4) Rs.22,050 5) Rs.24,000
5 3 5 5
Sol: P1 (1 + ) = P2 (1 + )100 100
P1 21 2 441 P = () = P2 20 400 P
84100841 P →
2
400 P → 20,000 Ans: 1
Writer
Ch. Sudheer Chakravarthi,
Sreedhar's CCE
COMPOUND INTERESTCompound Interest (C.I) is most common con-
cept in our daily life. C.I. calculated annually,
half-yearly and quarterly. C.I is the interest
calculated on the principal and the interest
accumulated over the previous period.
C.I = Amount − principal
R nAmount = P (1 + )100
Where P = Principal
R = Rate of Interest
n = no. of years
In competitive exams, the weitage of com-
pound Interest is 2-3 marks. This topic is
very useful in our daily routine as well. It is
useful in Data Analysis and Data Sufficiency.
Special
Quantitative Aptitude
Model Questions
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What will be the amount after 2 years?
Bank Exams
44= × 6000
100
= Rs.2640
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¸ÚÙvë]-û¦è† ÷u÷-ú£–šíj í£E-ඛú Øù£-ëů-õìª -c÷ªûÁ-#-Ú¨êŸq Ú¥ô¢-Ú¥õªe- ÍÙæ°ô¢ª.- ÏN ÷ªûÁ-î�µj-Ü-JE ví£òÅ°-NêŸÙ à¶þ§hô³.a) ò°ëÅ]-E-ôÁ-ëÅ]-Ú¥õª (Analgesics):
V Íû¶ÚÛ ô¢Ú¥õ î¦uëÅ]ªõ ÷õx, ÎÚÛ-ú‡tÚÛ ví£÷«-ë¯õ Ú¥ô¢-éÙÞ¥ û•í‡p ÚÛõª-Þœª-꟪ÙC.- êŸõ-û•í‡p, àµN-û•í‡p, í£Ùæ¨-û•í‡p, Ú©üŒx-û•í‡p, ÚÛè[ª-í£±-û•í‡p îµ³ë]-ö˵j-ìN þ§ëů-ô¢é û•í£±põª.
V û•í‡p/ ò°ëÅ]ìª êŸT_Ù-àŸè[Ù öË¶ë¯ í£²JhÞ¥ìóŸªÙ ඛú Øù£-ëÅ̄ -õìª -cû•í‡p EôÁ-ëÅ]-Ú¥õªeöË¶ë¯ -cò°ëÅ] EôÁ-ëÅ]-Ú¥õªe- ÍÙæ°ô¢ª.
Ñë¯: Îú‡p-JûÂ, è˵jÚÁx-íƇ-û¦ÚÂ, Õñª-vð»-šíÆûÂV Îú‡p-Jû ô¢þ§-óŸªì û¦÷ªÙn- Íú‡-ç˵jöËÀ ø‹L-ú‡-
LÚ Î÷ªxÙ.
b) áyô¢-E-ôÁ-ëÅ]-Ú¥õª (Antipyretics):
F áyô¦Eo êŸT_ÙචØù£-ëů-õìª -cáyô¢-E-ôÁ-ëÅ]-Ú¥õªe- ÍÙæ°ô¢ª.-
Ñë¯: ð§ô¦-ú‡-å-÷«öËÀ, Îú‡p-Jû ë]-ö˵j-ìN.-F ð§ô¦-ú‡å-÷«öËÀ ô¢þ§-óŸªì û¦÷ªÙ Nn-Óú‡-
ç˵jöËÀ -p- ÍNª-ûÁ-íƇ-û¦öËÀ.-F ¸ÚÙvë] û¦è† ÷u÷-ú£–-ö˺E šïj°ð¼ëǯ-õ-÷ªúÃ
øŒKô¢ Ñÿ¼g-vÞœ-êŸìª ú‡–ô¢ÙÞ¥ ÑÙàŸª-꟪ÙC.-áyô¢Ù ÷#a-ì-í£±pè[ª øŒKô¢ Ñÿ¼g-vÞœêŸ šíô¢ª-Þœª-꟪ÙC.- áyô¢-E-ôÁ-ëÅ]-Ú¥õª sð§ô¦-ú‡-å-÷«öËÀz Ï#a-ì-í£±pè[ª, ÍC šïj°ð¼-ëǯ-õ-÷ª-úÚíj í£E-à¶ú‡ àŸô¦t-EÚ¨ ÓÚÛª\÷ ô¢Ú¥hEo ú£ô¢-íÆ£ô¦ Íó¶ªuåªx à¶ú£ªhÙC.- DÙêÁ àµ÷ªåí£æ¨d, ÎN·ôj áyô¢Ù êŸÞœª_-꟪ÙC.-
F áyô¢-E-ôÁ-ëÅ]-ÚÛ-iì ð§ô¦-ú‡-å-÷«-öËÀìª ÓÚÛª\÷ôÁVõª î¦è…ê¶, Ú¥ö˶óŸªÙ ëµñ(-AÙ-åªÙC.-
c) ví£ø‹Ù-êŸ-Ú¥-ô¢ªõª (Tranquilizers):
v Íì-÷-ú£ô¢ ÎÙëÁ-üŒì, ví£ÚÁí£Ù, Í꟪u-ê¦q-Eo êŸT_Ù#, ví£ø‹Ù-êŸ-êŸìª ÚÛL-TÙචØù£-ëů-õìª ví£ø‹Ù-êŸ-Ú¥-ô¢ªõª ÍÙæ°ô¢ª.- ÏN÷«ì-ú‡ÚÛ ÖAh-è…E êŸT_Ù#, ÷ªûÁ-î¦u-ëÅ]ªõìªÙ# Ñí£-øŒ-÷ª-û¦Eo ÚÛL-T-þ§hô³.
Ñë¯: è[óŸª-@--ð§îª, Îvö˺pÄ-â˺-õîª, ÚÁxôÁ-è[-óŸª-@-ð§-·Új¬qèÂ, šúô¢æ˺-Eû ë]-ö˵j-ìN.-d) ú£îµ«t--ì-Ú¥-ô¢ªõª (Hypnotics):
c Dô¢+-E-vë]ìª ÚÛL-TÙචØù£-ëů-õìª -cú£îµ«t--ì-Ú¥-ô¢ªõªe- ÍÙæ°ô¢ª.- ví£÷«-ë¯õª, øŒú£Y #Ú¨-êŸqõª áJ-T-ì-í£±pè[ª ð§ô¦-ú‡-å-÷«öËÀö°Ùæ¨N Î û•í‡pE êŸT_Ù-àŸ-ö˶÷±.- Ú¥ñæ¨dú£ÙñÙ-CÅÙêŸ ÷uÚ¨hÚ¨ Dô¢+-Evë] ÚÛL-TÙ-à¶Ù-ë]ªÚÛªú£îµ«t--ì-Ú¥-ô¢ª-õìª Ñí£-óµ«-T-þ§hô¢ª.-
Ñë¯: ò°J(-åª-¸ô-æÀõª, ò˵Ùâ˺-è[-óŸª@-šíj-ûÂõªîµ³ë]-ö˵j-ìN.-e) ÷ª-ûÁ-î¦u-ÚÛª-õ-êŸ-E-ôÁ-ëÅ]-Ú¥õª
(Antidepressants):
l ÷ªûÁ-î¦u-ÚÛª-õ-êŸìª êŸT_ÙචØù£-ëů-õìª -c÷ªûÁ-î¦u-ÚÛª-õ-êŸ-E-ôÁ-ëÅ]-Ú¥õªe- ÍÙæ°ô¢ª.-
Ñë¯: ÏNª-ví£-iûÂ, Õvð¼-E-óŸª->èÂ, šíÆû¦-öËÀ-â˵jûÂîµ³ë]-ö˵j-ìN.-f) ÷÷ª-ì-E-ôÁ-ëÅ]-Ú¥õª (Antiemetics):
zx î¦Ù꟪õª, NÚ¥ô¢Ù îµ³ë]-ö˵j-ì-î¦-æ¨E êŸT_Ùà¶Øù£-ëů-õìª -c÷÷ª-ì-E-ôÁ-ëÅ]-Ú¥õªe- ÍÙæ°ô¢ª.-
Ñë¯:- è•Ùí‡-ô¢-èÁûÂ, vÞ¥E-šú-væ°ûÂ, ×Ùè¯-ûÂ-šú-væ°û ë]-ö˵j-ìN.-g) ÷éªÚÛª-E-ôÁ-ëÅ]-Ú¥õª (Antiparkinsons):
c ð§J\-ìqû î¦uCÅö˺ ò°ëÅ]-í£-è˶-î¦J à¶êŸªõª,êŸõ î¦åÙ-êŸå Íî�¶ ÷éª-Ú۪꟫ ÑÙæ°ô³.-
DE #Ú¨-êŸqö˺ Ñí£-óµ«-TÙචØù£-ëů-õìª -c÷éª-ÚÛª-E-ôÁ-ëÅ]-Ú¥õªe- ÍÙæ°ô¢ª.-
Ñë¯: MîËÁ-èÁð§ (L-Dopa), wç˵jšï°-Ú©q-íƇ-E-è˵jöËÀ,Í÷«-ìd-è…û ë]-ö˵j-ìN.-c MîËÁ-èÁð§ ë]-è[ª-ö˺E èÁí£-iû vޥ-
Ú¥Eo Ñê¶h-á-í£-ô¢# èÁí£-i-ûÂìª ÍCÅÚÛ í£J-÷«-éÙö˺ ÑêŸp-Ahà¶ú‡, ð§J\-ûÂ-ú£û î¦uCÅEEî¦-J-ú£ªhÙC.-
h) ÷´ô¢a-î¦u-CÅ-E-ôÁ-ëÅ]-Ú¥õª(Anticonvulsants):
F ÷´ô¢a î¦uCÅ-vÞœ-ú£ªhö˺x Ú¥üŒ‰x, à¶êŸªõª Ní£-K-êŸÙÞ¥ ÚÛë]ª-õªêŸ« ÑÙæ°ô³.- Oæ¨E Eî¦-JÙ-à¶Ù-ë]ªÚÛª î¦è˶ Øù£-ëů-õìª -c÷´ô¢a-î¦u-CÅ-E-ôÁ-ëÅ]-Ú¥õªe- Íæ°ô¢ª.-
Ñë¯: ò°J(-åª-¸ô-æÀõª, ò˵Ùâ˺-è[-óŸª-@šíj-ûÂõª,î¦öËÀ-vð¼-ó¶ªæÀ îµ³ë]-ö˵j-ìN.-
÷ªÙë]ªõª (Drugs): ÷ªì øŒK-ô¢Ù-ö˺Eñ”ê Íéª-÷±-õêÁ àŸô¢u áJí‡, @÷ì ví£vÚ¨-óŸªö˺ ÷«ô¢ªp êµà¶aÙ-ë]ªÚÛª Ñí£-óµ«-TÙà¶Íõp Íéª-òÅ°ô¢ ô¢þ§-óŸªì í£ë¯-ô¦–-õìª -c÷ªÙë]ªõªe- ÍÙæ°ô¢ª.-Øù£-ëůõª (Medicines): î¦uëÅ]ª-õìª Eô¦ÌÄ-JÙ-àŸ-è¯-EÚ¨, Eî¦-JÙ-àŸ-è¯-EÚ¨, EóŸªÙ-vAÙ-àŸ-
è¯-EÚ¨, #Ú¨êŸq ÚÁú£Ù Ñí£-óµ«-TÙච÷ªÙë]ª-õìª -cØù£-ëůõªe- ÍÙæ°ô¢ª.-Ñë¯: Îú‡p-JûÂ, ð§ô¦-ú‡-å-÷«öËÀ, Í>-vêÁ-i-ú‡ûÂ, Í÷«-Ú¨q-ú‡-LûÂ, è¯Ú¨q-šúj-Ú¨xûÂ, ô¦E-æ¨-è…û ë]-ö˵j-ìN.-F @÷ ÷u÷-ú£–ö˺x @÷ ví£òÅ°-î¦Eo ÚÛL-TÙà¶
ô¢þ§-óŸªì í£ë -̄ô¦–-õìª Øù£-ëÅ̄ õª ÍÙæ°ô¢ª.-
F Øù£ëÅ]Ù Íû¶C ÷ªÙë]ª ú£«vB-ÚÛ-JÙ-#ì(Modified) ô¢«í£Ù.- ÏC ÚÛ#a-êŸ-iìê¦ë]ª (Dose) ìª ÚÛLT ÑÙåªÙC.-
F Øù£-ëů-õFo ÷ªÙë]ªö˶ Ú¥F ÷ªÙë]ª-õFoØù£-ëůõª Ú¥÷±.-
Ñë¯:- šï°ô¦-ô³ûÂ, Ú•·Újû ë]-ö˵j -ìN÷ªÙë]ªö˶ Ú¥F Øù£-ëůõª Ú¥÷±.-
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