1) The document provides examples of short answer and long answer questions that may be asked in an exam based on a syllabus. Short answer questions include math problems about compound interest calculation, population growth calculation, and depreciation calculation. 2) Long answer questions require calculating principal amount, interest rate, or time period given multiple conditions related to interest earned over years. Examples include calculating principal given annual interest amounts, or interest rate given interest earned over two time periods. 3) Formulas and steps are shown to solve various word problems related to financial math concepts like interest, present value, future value, depreciation etc. Learners are asked additional questions to solve using the techniques shown.

1. ul0ft z[ªvnf – $
cªsul0ft
rqmLo Aofh, hg;ªVof j[l4 / ld>x|f;
P;Pn;L k/LIffsf] ljlzi6Ls/0f tflnsf 2065 cg';f/ o; PsfOaf6 Pp6f nfdf] pQ/ cfpg] 4
cªs / Pp6f 5f]6f] pQ/ cfpg] 2 cªs u/L hDdf 6 cªssf] b'O{cf]6f dfq k|Zgx¿ ;f]lwg]
k|fjwfg 5 . oxf“ k/LIffsf] b[li6n] dxŒjk"0f{ dflgPsf k|Zgx¿ pbfx/0f ;lxt k|:t't ul/Psf] 5 .
-s_ 5f]6f] pQ/ cfpg] k|Zgx¿
pbfx/0f M 1
5% jflif{s rqmLo Aofh b/df slt jif{df ?= 58,640 sf] ld>wg ?= 67,883.13 k'Unf <
;dfwfg M
oxf“, d"nwg (P) = ?= 58,640, ld>wg (A) = ?= 67,883.13, Aofh b/ (R) = 5%
;do (T) = ? -kQf nufpg' kg]{_
xfdLnfO{ yfxf 5,
A =
or, (1)
or,
or,
or,
or, T = 3 jif{ (1)
pbfx/0f M 2
cd/fk'/Lsf] hg;ªVof k|To]s jif{ 2% j[l4 x'“b} hf“bf 2067 sf] cGTodf 10,404 k'u]sf] lyof] eg]
2065 sf] cGTodf slt lyof] <
;dfwfg M
oxf“, jflif{s j[l4 b/ (R) = 2%, cjlw -jif{_ (T) = 2 jif{, 2067 sf] cGTodf (P2) = 10,404
2065 sf] cGTodf (P1) = ?
P2 = P1

2. 2
P1 (1)
= 10,000 (1)
ctM cd/fk'/Lsf] 2065 sf] hg;ªVof 10,000 lyof] .
pbfx/0f M 3
Pp6f sf/ ?= 12,00,000 df lsg]/ b'O{ jif{ k|of]u u/L ?= 11,05,920 df a]lrof] eg] ;f] sf] jflif{s
ld>x|f; b/ slt lyof] <
;dfwfg M
oxf“, lsg]sf] d"No (V) = ?= 12,00,000, a]r]sf] d"No (VT) = ?= 11,05,920, cjlw (T) = 2 jif{
x|f; b/ (R) = ?
xfdLnfO{ yfxf 5, VT = V
cyjf,
cyjf, (1)
cyjf,
cyjf,
cyjf,
 R = 4% (1)
ctM jflif{s ld>x|f; b/ 4% lyof] .
dfly lbOPsf pbfx/0fx¿sf] ;xfotf lnO{ lgDg ;d:ofx¿ ;dfwfg ug'{xf]; M
1. ?= 8,000 sf] 2 jif{df aflif{s 8% rqmLo Aofhb/n] rqmLo Aofh slt xf]nf <
-pQ/ M?=1,331.20_
2. jflif{s 5% rqmLo Aofhb/df ?= 15,000 sf] ld>wg ?= 16,537.50 k'Ug slt jif{ nfUnf <
-pQ/ M 2 jif{_
3. 2 jif{df jflif{s slt k|ltzt rqmLo Aofhcg';f/ ?= 1,500 sf] ld>wg ?= 1,881.60
k'Unf < -pQ/ M 12%_

3. 4. Pp6f zx/sf] jt{dfg hg;ªVof 15,000 5, ;f] ;ªVof k|To]s jif{ 4% j[l4 x'“b} uPdf 2
jif{sf] cGTodf pSt hg;ªVof slt k'Unf < -pQ/ M 16,224_
5. k|ultgu/ uf=lj=;= sf] hg;ªVof k|To]s jif{ 2% sf b/n] j[l4 eO xfn 26,010 5 eg] 2
jif{ cl3 ;f] ;ªVof slt lyof] < -pQ/ M 25,000_
6. Pp6f df]6/;fOsn k|To]s jif{ 5% sf b/n] d"No x|f; x'“bf 2 jif{sf] cGTodf To;sf] d"No
?= 86,640 k'Ub5 eg] ;'?df slt d"No sfod lyof] < -pQ/ M ?= 96,000_
7. ?= 25,00,000 df lsg]sf] sf/sf] d"No jflif{s 12.5% sf b/n] x|f; x'G5 eg] slt jif{ kl5
;f] sf/sf] d"No ?= 19,14,062.50 k'Unf < -pQ/ M 2 jif{_
8. s'g} zx/sf] hg;ªVof 1,50,000 5 . olb hg;ªVof j[l4b/ 2% / cGtaf6 a;fO ;/fO{
u/L cfPsf 4% sf b/n] hg;ªVof j[l4 x'“bf 2 jif{kl5 pQm 7fp“sf] hg;ªVof slt xf]nf <
-pQ/ M 1,68,540_
9. cw{jflif{s rlqmo Jofhsf] b/n] 8% Jofhb/df jif{df ?= 816 Jofh kfpg slt /sd hDdf
ug'{knf{ < -pQ/ M ?=10,000_
10. ?= 5000 kg]{ /]l8of]sf] d"No x|f; s§L ubf{ 2 jif{kl5 pQm /]l8of]sf] d"No ?= 4512.5 eP
d"No x|f;sf b/ kQf nufpg'xf]; . -pQ/ M 5%_
-v_ nfdf] pQ/ cfpg] k|Zgx¿ M
pbfx/0f M 1
s'g} /sdsf] jflif{s 12% sf b/n] 2 jif{df jflif{s rqmLo Aofh / ;fwf/0f Aofhsf] cGt/ ?= 288
x'G5 eg] d"nwg kQf nufpg'xf]; .
;dfwfg M
dfgf}“ d"n wg = ?=
;fwf/0f Aofhcg';f/
SI = (1)
jflif{s rqmLo Aofhcg';f/,
CI = P
= (1)
= =
k|Zgcg';f/, CI – SI = ?= 288 (1)

4. 4
cyjf, 0.2544 – 0.24 = ?= 288
cyjf, ?=20,000 (1)
pbfx/0f M 2
s'g} /sd jflif{s rqmLo Aofhcg';f/ 2 / 3 jif{df ld>wg j|mdzM ?= 24,200 / ?= 26,136 x'G5
eg] d"nwg / Aofhb/ kQf nufpg'xf]; .
;dfwfg M
oxf“, d"nwg (P) = ?, Aofhb/ (R) = ?
klxnf] zt{ cg';f/,
;do (T) = 2 jif{, rlqmo ld>wg (C.A.) = ?= 24200
 C.A. =
jf, 24200= ............. (i) (1)
bf];|f] zt{ cg';f/,
;do (T) = 3 jif{, rqmLo ld>wg (C.A.) = ?=26136
 26136 = ............(ii)
ca, ;lds/0f (ii) nfO{ ;lds/0f (i) n] efu ubf{,
 (1)
cyjf,1.08=
cyjf,1.08-1 =
cyjf,0.08 =
 R = 8% (1)
ca, R sf] dfg ;lds/0f (i) df /fVbf,
24200 =
cyjf, 24200 = P(1+0.8)2

5. cyjf, 24200 = P×1.1664

= ?= 20747.60 (1)
ctM d"nwg ?= 20747.60 / Aofhb/ 8% /x]5 .
pbfx/0f M 3
jflif{s rlqmo Aofhcg';f/ s'g} /sdsf] 1 jif{sf] Aofh ?= 300 / bf];|f] jif{sf] dfq Aofh ?= 318
x'G5 eg] d"nwg / Aofh b/ kQf nufpg'xf]; .
;dfwfg M
dfgf}“, d"nwg = P / Aofhb/ = R dfGbf
klxnf] ;t{cg';f/,
=
=
=
?= 300 =
(1)
bf];|f] ;t{ cg';f/, =
cyjf, 318 =
cyjf, 318 =
cyjf, 318 =
cyjf, 31800 = (1)
;DaGw (i) / (ii) af6 31,800 = 30,000 + 300R
R = (1)
R sf] dfg (i) df /fVbf,
= ?= 5,000 (1)
ctM d"nwg ?= 5,000 / Aofh b/ 6% /x]5 .

6. 6
pbfx/0f M 4
jflif{s 4% rqmLo Aofhb/sf lx;fan] 2 jif{df s'g} wgsf] jflif{s Aofh / cw{jflif{s Jofhsf]
cGt/ ?= 8.32 eP d"nwg kQf nufpg'xf]; .
;dfwfg M d"nwg = ?=x dfgf}“, Aofhb/ (R)= 4%, ;do (T) = 2 jif{
jflif{s rqmLo Aofhb/sf lx;fan],
=
=
=
=
(1)
km]/L cw{jflif{s Jofhsf b/n],
=
cyjf, =
cyjf, =
cyjf, = (1)
k|Zg cg';f/, = (1)
cyjf,
cyjf,
cyjf, (1)
ctM d"nwg ≠ ?= 10,000
pbfx/0f M 5
s'g} Jofkf/Ln] 10% ;fwf/0f Jofhdf s]xL /sd a}ªsaf6 lnP5 . t'?Gt} p;n] 16% rlqmo
Jofhdf kmfOgfG;df hDdf u/]5 . 3 jif{ kl5 p;nfO{ ?= 13044.80 gfkmf eP5 eg] p;n] slt ?=
C0f lnPsf] /x]5 <

7. ;dfwfg M ;f“jf (P)= x dfgf}“,
3 jif{ kl5 p;n] a}ªsnfO{ ltg'{ kg]{ Aofh ?= (1)
km]/L 3 jif{ kl5 p;n] kmfOgfG;af6 cfpg] rlqmo Jofh C.I. kQf nufp“bf,
=
=
(1)
k|Zg cg';f/, gfkmf
?= 13044.80 (1)
cyjf, ?= 13044.80
cyjf, ?= 13044.80
cyjf, ?=
cyjf, ?= (1)
ctM p;n] ?= 50000 /sd a}ªsaf6 C0f lnPsf] /x]5 .
pbfx/0f M 6
s'g} zx/sf] hg;ªVof j[l4b/ 2% 5 . 2 jif{sf] cGtdf ;f] zx/sf] hg;ªVof 25800 lyof] . olb
210 dflg; csf]{ 7f“pdf a;fO“ ;/fO{ u/L uP eg] ;f] zx/sf] 2 jif{ cl3sf] s"n hg;ªVof slt
lyof] <
;dfwfg, 2 jif{sf] cGtdf hg;ªVof s"n (1)
hg;ªVof j[l4b/ (R) = 2%
2 jif{ klxn]sf] hg;ªVof (P) = ?

8. 8
;"q cg';f/, (1)
cyjf,
cyjf,
cyjf, (1)
cyjf, (1)
ctM 2 jif{ klxn]sf] hg;ªVof = 25000.
pbfx/0f 7 M
Pp6f d]zLgsf] 2 jif{ cl3sf] d"No ?= 30000 lyof] . xfn ?= 24300 df a]lrof] eg] x|f; b/
lgsfNg'xf]; .
;dfwfg,
;do 2 jif{
klxn]sf] d"No (P) = ?= 30,000
xfnsf] d"No ( ) = ?= 24,300
x|f;sf] b/ (R) = ?
;"q cg';f/, (1)
cyjf,
cyjf, (1)
cyjf,
cyjf,
cyjf, (1)
ctM x|f; b/ 10% /x]5 . (1)

9. pbfx/0f M 8
/d]zn] Pp6f 35,000 df lsg]5 . s]lx jif{ kl5 12% sf b/n] x|f; s6fO{ ?=23851.52 df a]r]5
eg] p;n] slt jif{ ;f] sDKo"6/ rnfPsf] /x]5 <
;dfwfg M klxn]sf] d"No (P) = ?= 35000,
xfnsf] d"No (DT) = ?= 23851.52
x|f; b/ (R) = 12%
;do (T) = ?
;"q cg';f/, DT = P
cyjf,
cyjf,
cyjf,
cyjf,
cyjf,
 T = 3
ctM 3 jif{ ;Dd /d]zn] sDKo"6/ rnfPsf] /x]5 .
dfly lbOPsf pbfx/0fsf] ;xfotf lnO{ lgDg ;d:ofx¿ xn ug'{xf]; M
1. ?= 7,500 sf] 2 jif{df 8% Aofh b/df x'g] cw{jflif{s / jflif{s rqmLo Aofhsf] cGt/ kQf
nufpg'xf]; . -pQ/M ?= 25.94_
2. s'g} wg/fzL jflif{s 4% sf b/n] cw{jflif{s rqmLo Aofh kfpg] u/L 18 dlxgfsf nflu
nufgL ubf{ ?= 132651 x'G5 eg] ;f] wg kQf nufpg'xf]; . ;fy} ;f] wgsf] ;f]xL cjlwsf
nflu Tolt g} Aofh kfpg ;fwf/0f Aofhb/ slt sfod ug'{ knf{ <
-pQ/ M d"nwg =125000, ;fwf/0f Aofhb/ = 4.08%_
3. s'g} /sdsf] jflif{s rqmLo Aofhcg';f/ 2 / 3 jif{df ld>wg j|mdzM ?= 8,748 / ?=
9,447.84 k'Ub5 eg] d"nwg / Aofh b/ kQf nufpg'xf]; . -pQ/ M ?= 7,500 / 8%_
4. A n] B / C b'a}nfO{ 3 jif{sf] lgldQ ?= 15000 /sd C0f lbG5 . B n] jflif{s 13% sf b/n]
;fwf/0f Aofh / C n] jflif{s 10% sf b/n] rqmLo Aofh ltg{ d~h'/ x'G5g . olb B n] ?=
803, C n] eGbf a9L Aofh ltb{5 eg] A n] k|To]snfO{ slt–slt /sd C0f lbPsf] /x]5 <
-pQ/ MB nfO{ ?= 8000, C nfO{ ?= 7000_
5. jflif{s rqmLo Aofhcg';f/ s'g} /sdsf] 1 jif{sf] Aofh ?= 1,200 / bf];|f] jif{sf] dfq Aofh
?= 1344 eP Aofh b/ / d"nwg kQf nufpg'xf]; . -pQ/ M 12% / ?= 10000_

10. 10
6. s'g} /sdsf] 5% sf b/n] 2 jif{kl5 kfpg] rlqmo Jofh plQs} ;dokl5 plQs} b/n] kfpg]
;fwf/0f Jofh eGbf ?= 400 n] a9L x'G5 eg] ;f] /sd kQf nufpg'xf]; .
-pQ/ M ?= 1,60,000_
7. jflif{s 6% rlqmo Jofh b/sf lx;fan] 2 jif{df s'g} wgsf] jflif{s Jofh / cw{jflif{s
Jofhsf] cGt/ ?= 824.3216 eP ;f] wg kQf nufpg'xf]; . -pQ/ M ?= 10,000_
8. jflif{s 5% rlqmo Jofhb/sf lx;fan] 2 jif{df s'g} wgsf] jflif{s Jofh / cw{jflif{s
Jofhsf] cGt/ ?= 18.38 eP ;f] wg kQf nufpg'xf]; . -pQ/ M ?= 14000_
9. Ps Jofkf/Ln] 6% ;fwf/0f Jofhdf s]xL /sd C0fafkt lnP5 / t'?Gt} 8% rlqmo Jofhdf
nufgL u/]5 . 3 jif{ kl5 p;nfO{ ?= 956.544 gfkmf eP5 eg] p;n] slt ?= C0f lnPsf]
/x]5 < -pQ/ M ?= 12,000_
10. 5% Jofh b/n] 3 jif{df s]lx /sdsf] jflif{s rlqmo Jofh / ;fwf/0f Jofhsf] cGt/
?= 152.50 eP ;f“jf kQf nufpg'xf]; . -pQ/ M ?= 20000_
11. 6% Jofh b/sf lx;fan] s]lx /sdsf] jflif{s ;fwf/0f Jofh / rlqmo Jofhsf] cGt/ ?= 90
eP rlqmo Jofh kQf nufpg'xf]; . -pQ/ M ?= 3090_
12. Pp6f ufp“sf] hg;ªVof 2065 ;fndf 25,000 lyof] . olb hg;ªVof j[l4b/ k|lt xhf/df
40 5 eg] 2067 ;fndf slt xf]nf < -pQ/ M 27040_
13. Pp6f pBf]usf] ;]o/ 3 jif{ ;Dd k|lt jif{ 10% sf b/n] ld>x|f; eof] . olb ;]o/x¿ a]r]/
?= 7,290 k|fKt ul/of] eg] ?= 100 kg]{ slt ;]o/x¿ a]lrP < -pQ/ M 100 cf]6f_
14. s'g} Jofkf/Ln] 8% ;fwf/0f Aofhdf s]xL /sd a}ªsafkt lnP5 . t'?Gt} 12% rj|mLo
Aofhdf nufgL u/]5 . 3 jif{ kl5 p;nfO{ ?= 6597.12 gfkmf eP5 eg] p;n] a}ªs af6 slt
/sd lnPsf] /x]5 < -pQ/ M ?= 40000_
15. s'g} ;x/sf] hg;ªVof j[l4b/ 2% 5 . 3 jif{sf] cGtdf ;f] ;x/sf] hg;ªVof 2,65,000
lyof] . olb 302 hgf j;fO{ ;/fO{ u/L uP eg] ;f] ;x/sf] 3 jif{ cl3sf] hg;ªVof slt
lyof] < -pQ/ M 2,50,000_
16. Pp6f ;x/sf] hg;ªVof j[l4b/ 2% 5 . 3 jif{sf] cGtdf ;f] ;x/sf] hg;ªVof 2,65,710
lyof] . olb 408 hgf cGoqaf6 cfO{ Toxf“ a;]sf lyP eg] 3 jif{ cl3sf] hg;ªVof slt
lyof] xf]nf < -pQ/ M 2,50,000_
17. ?= 50,000 k/]sf] d]zLg 3 jif{kl5 a]Rbf ?= 38,934.40 dfq kfOP5 . x|f;sf] b/
lgsfNg''xf]; . -pQ/ M ?= 8%_
18. ?= 40,000 lt/]/ lsg]sf] 6]lneLhg a]Rg hf“bf j|]mtfn] 15% x|f; s6fO{ ?= 24,565 dfq
lbP5 eg] slt jif{ kl5 ;f] 6]lnlehg a]lrP5 < -pQ/ M 3 jif{_
19. ?= 1,00,000 k/]sf] df]6/;fOsnsf] d"No slt jif{ kl5 5% x|f;sf] b/n] ?= 90,250
kfOPnf < -pQ/ M ?= 2 jif{_