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Quantitative Aptitude - Ratio and Proportion, Lecture notes of Mathematics

This document explains the fundamental concepts of Ratio and Proportion in Quantitative Aptitude. It covers definitions, properties, and important problem-solving techniques related to ratios, proportions, continued and compound ratios. Perfect for competitive exam aspirants, this guide simplifies complex problems and enhances numerical reasoning skills essential for various entrance tests.

Typology: Lecture notes

2024/2025

Available from 06/09/2025

jogitha-sekar
jogitha-sekar 🇮🇳

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ROS [ Azp2 10: 2ly G2) Gor 80: 112+ 126 ~ ance a) ao yo ss 6 GQ & awk + tet 318, Give 2 21335714. vou < 516+ 3/4 Bion vn, ei uR- WG 24-3 Ce et wok Ee ° eee pqs ar an Be ® roy mG Ae , Hes BE: ei = ROB Wn Biar8 Br 3ists 20. 202.20°18 “Zuo: BO: 300 : 240 (43) B07 60; 100: 70 (210) gb erg ~~ e Var Bie Rs 8.621089 » ON ©, Diekéek to pou: Mon weokio 3:2 ©. 4 RS. 4000 Ms AVE RAR Redvornr Aawk BM shan A WARK RRR AtB= 3:2 T2000 t a0 A 000+ oO [_————___——_ Az APO xy 2 By looo = 600, Bz 400% Je TPowk 7 Q. af Fake ROAR serko Spee woibtek, one athe of iran Hor ohh, port ds, ToRek =78- debit 4 G% 3e 6 6 a: Lrn 8 6 ' st 3 braid 6 Fawr > bq xepB = BR 7 Seven: 5 RAAB = PR/gv Thi: > t7qx 48-2 R6fz, ) Ga. 33,650 wore waver A.B, Con anal va orev fe A woo Hx noe fA 0 ek of is 8 ai} ome Hee, xe0kso sf nt vorenount of B ko Mok of cus 695. sien renner etre antics 4 B Hy Totok = 33630. ALB = 30, Bic = 6:5 AvBiC Az 8.x 93680 [A= 6342, aS 3.47 ) 62635 Bz AR 33630 + \B> 4.88, © J c+ 2 x 33630 op|cz 42390, | & ORVARK RS. 1250 vor ©. Tf whe wn of wae HE i“ Bin teoke vomnek ck Mook Ais Ban oe auasts s0kSo Bis want, os pun Hara of Avot AsB eid , Bic tart. AvB.C ardik Parad Biba AsB.C = Bait, sovndh Caps fn af As Wve. pad Toto (R50. : 23 A> 3B, craA Av Bre. A:Bic Waibhs4 — ROR =NRSO ABC ent aa of 8s tne Fuse wives p.R01D wane Ho Be Kivi wrmomg AB o work MO Wn van spook * A a Rab, Mom B amaat RE Mok of B ae oof € wok ALBic B.C - fe bed GURNZ PS g1 © g:8.01 foe: 80) oa a _— DF Bexar Boke? 44 tor 2hs BS . 7 A goo | 240 J 0, 08000 Lh Ree A, e ° nk vee vonen He Rasqgk ork ont afar Har ole Totak: 68000. Apc eet? gree ZW VG 1b ArB:C = 8? nis) Az 8. xb8000 = BROOO VF ‘ (Ronee) B= A x68900 {6,000 (vrena) t cz Bxb$o0d * 20,000 \t On gi (b/000” prone Den Parodvrna armors: aaa @. thnx senbho of Two munis, 6 a 2, Jansen] Bn-5K? NS os) US (ar) ae onvscontt i BH yanked ee eau te ane awd dt We US 6. Th jslo8- We Cot > ows tet. (Ox FH = \oS 3H = 105 ols) + #28) = 360+ RHo | 2 595), ria nas fn A eH BRIE erm Atha - Uh (802. Wank «re i es nd 6. afeake, Hepnet? Bi Bib” J Bx anise | Gah et aon s 1862 Bens 1862 Ks AY xz) 5(F); RE BO), 8.4 orn Mook a sii . sot arn Set arascerBite vB 2400, Ayan Hot secon oreo ds F:ssT Bnc = 8(5) = Aw 3:3: gata): 1a(5) 260% (egy PArRtee [Ti com ens 08H; 0. ean fm mt Ste ge, 40. avek vA ae vernon rene? 2m, Oe. (a. uate; 5% = HO [x28 O). Senna nem rh, 2(8)= 1b, @, The Katie oot Bray anidern ans Bons. ag aa ween sh (aI anc 3ls)215 BRASH HO 5R> Bly) = 25. , “5 ] Tie venukna neerneR AIS. scampi ss, TRI offer Bhat HO, wher Az ©. Whe wean of usd ane ie Kio we stb Aa olb ae i gx > RH . roy) ©, The veurn aon aces Sa, ome Ho fore 2S pokuok wr uns? “a qry a5 wd? 3 al QnclB P omhah he el i. te sete af a ssi Koa, Ka vay veh Who wor pheaskeceds AB 13311. Weak “0 ¢ Te if i omens aon vcore 7 gontia> Bte > g pi ; RFS: RBITIZ 2 Bsn = R43, RAZ 1 AH a 6 In 0 eRavaqoon ons oe is aion soto af Sif al ate Wf ta, seo overs Fs “ 4 oop oka hh Bows + BA ay BOA RU Gass #*4 > Wags Be ee ees gad pare 63 = x" on< 3b Rokk monk Go ge setae Bo 2h stuabents sin an aaioorh wos HE _ Sask Air ok wns 134. Are Kove 30 ve vert vir Kroys Rohe Wik whoo rk. The pono RKO 6.5. Frown Wine fous Ref a bbo, TB: = 13:4. 13 xbbo = 340, G= = ree RHO, 3 AYA 30 fo ane Br “os ar 2A04 302 300 3B10-% « & 5 1Q¢0-5x = 1800 5oo 6K = 150 Tee) 21h Raps fei son, Hast ose 1 tii tee meee &@. Fen vn Kote fog ord Te apn wate 0 he mn of oo 28 BANE , Wo Rink MORRO Lthovrnns 6.5 A. aia 70 48 > [BiG = 523, ) guage 30, 30. & 3 150= 10gtbe * gee 9 Gar he Ge Bxh8 2 (81 [act 3 pont MOR _ ¥, (0,000 aida Teor = Exepanetihat ¢flawiod saoh xotRo of ori ©. The soko af Anveoome cf RA ae) . as 6000 cawh. Me venom. ob ps RRPRYWTARUL 2:3. Bosh af Hone Aves PQs Bit 3 dewarme, (9:4) Seng 6000. P.Q= 2:3 7 a pRerdERMA- 1 979 32) ®. Bx-b000 = &_ Ax-booo 3 Ax.- 13000 = 8x ~12000 Tieton avn as P (3%) = 1$000, @. A cmd B irom Fengavena, von Fats Kaae® gb xphnehihesats fon Hoke KaKiee of 8b. Hi My aor“ 1800 york F 1600 anagpachavtloy, Faw Bis ernie ven « ALBs Bib, ALB = S4 Savings > 1800, leo ; onions 10, bo SHOX - ¢ ratio 2 THe won af 8 (6%) = T200, 6x-l600 4 ROK-FROO = 1$% -4¥o0 2K > 2HOO > 1200 {