SI,CI WS Solution

7/23/2019 SI,CI WS Solution

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CDC Department Simple & Compound Interest SRMUniversity

1. Simple interest on an amount after 36 months at the rate of 3% per quarter is720. The amount is

1) 4000 2) 2000 3) 6000 4) 4800

Exp SI=PRT

100=720=

P3364

100=P=2000

!ote " is 3% per quarter# so 36 months is 36$4.

2. &n amount 'e(omes 8#800 in four ears at 1*% p.a. +hat is that amount,

1) 5,500 2)7#*00 3) *#800 4) 6#400

Exp &mount 'e(omes 8800# So -rin(ipal S/8800#

-S/P+PRT

100=P(1+

RT100)=P(1+

415100)=P(1+

3

5 )=8

5P=8800

-88005

8 **00

3. &mir too a loan of 00 at the rate of 12% per ear for 8 months. o mu(h 5oeshe nee5 to pa at the en5 of 8 months,

1) *2 2) 8*2 3) 872 4) 972

Exp S/90012

8

12

100=72 Time usuall (al(ulate per ear# so 8 months 8$12)

&mount pai5 -rin(ipal S/ 007272

4. The simple interest on a sum of mone ill 'e 00 after 3 ears. /n the next 3ears if prin(ipal is 5ou'le5# then hat ill 'e the total interest at the en5 of the 6 thear,

1) 00 2) 1800 3) 2700 4) 3600

Exp S/ after 3 ears 00. +e no that S/ alas (onstant eer ear.

&fter 3r5ear the prin(ipal is 5ou'le. So# S/ also 5ou'les# then next 3 ears0021800

Total after 6 ears 0018002700


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5. If 40000 is given as loan for a period of 3 years with interest rates 5%,7% and 9% for the 1st, 2nd and 3rd years respetively, what is the totala!o"nt that needs to #e paid in the end$

1) 23*00 2) 24200 3) 18000 4) 24000

Exp

6. 9anesh 'orroe5 some mone at the rate of *% p.a. for the :rst three ears# 7%p.a. for the next * ears an5 % p.a. for the perio5 'eon5 ei;ht ears. /f the totalinterest pai5 ' him at the en5 of 14 ears is 6240# ho mu(h mone 5i5 he'orro,

1) 6300 2) 6180 3) 6200 4) 000

Exp (P53100 +P 75

100+P96

100 )=6240

P( 15100+ 35100+ 54100 )=6240=P=6240100104 =6000

7. & sum of mone 'e(omes 1120 in 4 ears an5 1360 in 7 ears at S/. o mu(hmone is 5eposite5,

1) 00 2) 700 3) &00 4) 1200

Exp +e no that S/ alas (onstant eer ear

So# 4 ear is 3 ear 1360?1120 240 is S/ of mone in 3 ears

Then S/ for 1 ear is 240$3 80# for 4 ears 480 320

& sum of mone 'e(omes 1120 in 4 ears# -rin(ipal &mount > S/ 1120?320800

8. &run 'orros 1*00 from to mone len5ers. e pas interest at the rate of 12%per annum for one loan an5 at the rate of 14% pa for the other. o mu(h 5oes he'orro at 12% pa if the total interest pai5 at the en5 of the ear is 186,

1) 1200 2) 112* 3) 12*0 4) 1800

Exp @et assume to amounts is A at 12% an5 1*00?A at 14%.

SI=12X

100 an5SI=

(1500X)14100

=21014X

100

Total interest is 18612X

100 210

14X

100 2X

100=24,X=

24100

2=1200


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. & sum amounts to 3 times itself at S/ in * ears. /n hat time ill it 'e(ome *times itself,

1) * ears 2) 1* ears 3) 10 years 4) 7.* ears

Exp @et -rin(ipal is -# then &mount 3- in * ears. So# S/ for * ears is &mount?-3-?-2-

Then 2- PR5

100 # "ate of interest is 40% per ear.

So# * times means &mount*-# then S/4-

Then#4P=

P40T

100 # Time 10 ears.

'hort "t (#ased on 'I only*@et p100# &mt300 in * ears so S/200

100 S/200# &mt

300

S/ 400#

&mt*00

S/600# &mt

700

S/800# &mt 00

-rin(ipa

l

* ears 10 ears 1* ears 20 ears

S/ is (onstant alue# so it 5ou'les in * r means# 4 times in next * rs.

10. +hat ill 'e the (ompoun5 interest on 1*000 for 2 ears at 12% per annum,

1) 3604 2) 3&1 3) 3836 4) 3800

Exp

1+R/100

CI=Pan5 B/-rin(ipal /nterest

CI=15000(1+12

100)2

=15000(112

100)2

=18816

Then# /nterest &mt 18816?1*0003816

11. Bompoun5 interest on a (ertain amount for 2 ears at the rate of *% is 102.*.

Cin5 the amount.

1) *00 2) 72* 3) 8*0 4) 1000

Exp /nterest B/?-D P{(1+ 5

100)2

1 }=102.5

Simplif# -1.0*F1.0*)?1G102.* D -1.102*?1)102.*


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-102.*$ 0.102* 1000

12. &n amount of 10000 is taen as loan ' &Hmal at (ompoun5 interest (har;in;8% p.a. for 1st ear an5 % p.a. for the 2n5 ear. o mu(h is the total to 'e pai5' &Hmal after 2 ears,

1) 16000 2) 14772 3) 12000 4) 11772

Exp B/ &mount 10000108

100109

100 ) 11772

13. & sum of 40000 is ineste5 for 18 months at 20% p.a. on (ompoun5 interest. /fthe interest is (ompoun5e5 half earl# hat ill 'e the interest to 'e pai5,

1) 13240 2) 13080 3) 13*30 4) 13*40

Exp B/ &mt (al(ulate half earl - (1+R /2100 )

2n

=40000(1+20/2100 )

2 (1812

)

&mount *3240# interest *3240?40000 13240.

14. "ohit has ;ien a loan to Sohit an amount of 20000 at an interest rate 8 % p.a.for a perio5 of 30 months. /f interest (har;e5 is at (ompoun5 interest# ho mu(h5oes Sohit nee5 to pa in the en5,

1) 23000 2) 24000.36 3) 2421.12 4) 2*020.*4

Exp20000

108

100

108

100

104

100 24261.12

!ote (1+ 8100 )=108100Cor 6 months " 8$24%.... so 104$100

1*. & sum of mone ineste5 at B/ amounts to 800 in 3 ears# 882 in * ears. Cin5the rate of interest,

1) 2.*% 2) 5% 3) 4% 4) 6.66%

Exp P(1+ R100 )3

=8001.P(1+ R100)5

=8822.

Sole 21 D (1+ R100 )2

=882

800=441

400=( 2120 )

2

So, Cancelt h e squarebot hside.


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100+R100

=21

20solve R=5

16. In a ;ien amount the (ompoun5 interest at the en5 of :rst ear as 81 an5

the se(on5 ear as 88.2. o mu(h mone as ineste5,

1) 900 2) 6 3) 880 4) Bannot 'e 5etermine5

Exp P(1+ R100)1

=811.P(1+ R100 )2

=88.292.

Sole 2J 1 D (1+ R100)=88.7981 solve R=9 per annum .

/nterest on B/ for 1 ear P{(1+

9100 )1}=81

Sole -"s. 00

!ote These in5s of pro'lems ;o ith options

17. + s"! of 5000 is invested for 3 years at 5% p.a. on o!po"nd interest.Ino!e a- at the rate of 20% on the interest earned was ded"ted at theend of eah year. he a!o"nt at the end of 3rd year$

1) 524.32 2) *630.*0 3) *620.*4 4) *608.30

Exp

/nterest for 1 ear Tax &mount*% of *000 2*0 20% of 2*0*0 2*0?*0200*% of *200 260 20% of 260*2 260?*2208*% of *208 260.4 20% of 260.4*2.08 260.4?*2.08 208.32&mount *000 200 208 208.32 *616.32

18. & sum of mone 5ou'les itself at B/ in ears. /n ho man ears ill it 'e(ome16 times itself,

1) 18 ears 2) 3 years 3) 27 ears 4) 4* ears

Exp P(1+ R100 )9

=2P1,P(1+ R100 )n

=16P2


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Sole 2 1D (1+ R100 )n

(1+ R100 )9

=16

2=

24

2

n

9=4.So ,n=36years .{Poer values areequal }

'hort "t (#ased on I only* @et - 100# after ears 200. Cinal amount 1600

100 200 400 800 1600Kasi( ears 18 ears 27 ears 36 ears

1. +hat is the 5i=eren(e 'eteen (ompoun5 interest an5 simple interest for thesum of 20000 oer a 2 ear perio5# if B/ is (al(ulate5 at 20% p.a. an5 S/ is

(al(ulate5 at 23% p.a.,

1) 200 2) 12* 3) 2*0 4) 400

Exp S/ for 2 ears#20000

23

1002=9200

B/ for 2 ears# 20000(1+ 20100 )2

=28800. Interestis8800

SI,CI WS Solution

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