MPPSC UPSC Past Paper PDF - PAPER - 3 PART-B, UNIT - 2 MATHS

FOR – MPPSC, UPSC CONTENT S. NO. TOPIC PAGE NO. 1. Percentage (Áfr'krrk)...

FOR – MPPSC, UPSC CONTENT S. NO. TOPIC PAGE NO. 1. Percentage (Áfr'krrk) 34-38 2. Profit & loss (ykHk vkSj gkfu) 39-44 3. Simple & compound interest (lk/kkj.k rFkk pØc`f) C;kt) 45-51 4. Ratio, proportion & age (vuqikr] lekuqikr rFkk vk;q) 52-56 5. Equation & factor (xq.ku[kaM+ ,oa lehdj.k) 57-68 6. Number & its types (la[;k,sa ,oa muds Ádkj) 69-79 izsj.kknk;d dgkuh vki gkFkh ugha balku gSa ,d vkneh dgha ls xqtj jgk Fkk] rHkh mlus lM+d ds fdukjs caèks gkfFk;ksa dks ns[kk] vkSj vpkud #d x;k- mlus ns[kk fd gkfFk;ksa ds vxys iSj esa ,d jLlh caèkh gqbZ gS] mls bl ckr dk cM+k vpjt gqvk dh gkFkh tSls fo'kkydk; tho yksgs dh tathjksa dh txg cl ,d NksVh lh jLlh ls caèks gq, gSa!!! ;s Li"B Fkk fd gkFkh tc pkgrs rc vius caèku rksM+ dj dgha Hkh tk ldrs Fks] ij fdlh otg ls oks ,slk ugha dj jgs Fks- mlus ikl [kM+s egkor ls iwNk fd Hkyk ;s gkFkh fdl çdkj bruh 'kkafr ls [kM+s gSa vkSj Hkkxus dk ç;kl ugh dj jgs gSa \ rc egkor us dgk] ß bu gkfFk;ksa dks NksVs ls gh bu jfLl;ksa ls ck¡èkk tkrk gS] ml le; buds ikl bruh 'kfä ugha gksrh dh bl caèku dks rksM+ ldsa- ckj&ckj ç;kl djus ij Hkh jLlh uk rksM+ ikus ds dkj.k mUgsa èkhjs&èkhjs ;dhu gksrk tkrk gS fd oks bu jfLl;ksa dks ugha rksM+ ldrs]vkSj cM+s gksus ij Hkh mudk ;s ;dhu cuk jgrk gS] blfy, oks dHkh bls rksM+us dk ç;kl gh ugha djrs-ß vkneh vk'p;Z esa iM+ x;k fd ;s rkdroj tkuoj flQZ blfy, viuk caèku ugha rksM+ ldrs D;ksfa d oks bl ckr esa ;dhu djrs gSa!! bu gkfFk;ksa dh rjg gh geesa ls fdrus yksx flQZ igys feyh vlQyrk ds dkj.k ;s eku cSBrs gSa fd vc gels ;s dke gks gh ugha ldrk vkSj viuh gh cuk;ha gqbZ ekufld tathjksa esa tdM+& s tdM+s iwjk thou xqtkj nsrs gSa- Indore: 3rd Floor, Sundaram Complex, Bhawar Kuan Indore (M.P.) cont. us 9893442214, 7970002214 1 Gwalior: Infront of Bank of Baroda, Near SaiBaba Mandir Phoolbagh Gwl (M.P.) Cont. 7524821440,7000360672  FOR – MPPSC, UPSC 1 Ikzfr'krrk (Percentage) k Áfr”kr dk vFkZ gS Áfr lSdM+k@nwljs “kCnksa esa dg ldrs gSa fd Áfr”kr og fHkUu gS ftldk gj 100 gksrk gSA Áfr”kr ds fpà dks (%) ls fy[kk tkrk gSA Percentage means per hundred. In other words we can say that percent is a fraction which denominator has 100. Percentage in denoted by “%”. tSls Áfr”kr esa o`f) Kkr djuk% ¼calculate percent increasement) dqy o`f) o`f) ÁkjafHkd eku Áfr”kr esa deh Kkr djuk% ¼calculate percent decreasement) dqy deh deh ÁkjafHkd eku 1. 40 cm dk 35% fdruk gksxkA (Ans. 14) 35% of 40cm. 2. 450 dk 28% + 280 dk 45% (mppsc mains-2020) (Ans. 252) Evaluate: 28% of 450+ 45% of 280 3. 1000 dk 26% dk 15% (Ans. 39) 4. x dk 15% = 120 dk 30% (Ans. 240) if 15% of x= 30% of 120, then find x. 5. x dk eku Kkr djks ;fn 250 dk 14% + 150 dk x% = 140 (Ans. 70) Find the x If 14% of 250+ x% of 150= 140 6. 160 dk √ =64÷2 (Ans. 400) 7. 160 dk 45% + 250 dk 14% = x-23 (Ans. (130) 45% of 160 + 14% of 250 = x-23, find x? Indore: 3rd Floor, Sundaram Complex, Bhawar Kuan Indore (M.P.) cont. us 9893442214, 7970002214 2 Gwalior: Infront of Bank of Baroda, Near SaiBaba Mandir Phoolbagh Gwl (M.P.) Cont. 7524821440,7000360672  FOR – MPPSC, UPSC 8. Solve it? 9. Solve it? 10. Solve it? 11. x dk 15% = 120 dk 30%/if 15% of x= 30% of 120, then find x. 12. x dk eku Kkr djks ;fn 250 dk 14% + 150 dk x% = 140 13. 160 dk √ =64÷2/ √ of 160 =64÷2 14. 160 dk 45% + 250 dk 14% = x-23 15. 3600 dk dk 45% dk 35% = ? (Ans. 441) 16. 4240 dk dk 75% dk 25% = ? (Ans. 477) 17. Find the value of x if (980 dk 12%) - (450 dk x%) = 227 dk 30% (12% of 980) - (x% of 450) = 30% of 227 (Ans. 11) 18.og jkf”k Kkr dhft, tks 15% cM+kus ij 2300 :- gks tkrh gSA Find the amount which when increased by 15% becomes Rs 2300. It happens. 19. ,d lhrk dh vk; 400 #i;s ls cM+dj 450 #i;s izfrfnu gks xbZ mldh vk; esa fdrus % dh o`f) gqbZA (Ans. 12.5%) The income of a Sita increased from 400 rs to 450 rs per day, by what % his income increased. 20. ,d xkM+h 30 km/h dh pky ls pyrh gS ;fn og 25km/h dh pky ls pys rks mldh pky esa fdrus % deh vk;sxhA (Ans. 16.67%) A car is moving with a speed of 30 km/h. If it travels at a speed of 25 km/h, then by what percent its speed will decrease. 21. ;fn ,d la[;k dks 120 ls ?kVkdj 96 dj fn;k tk;s rks ml la[;k dks fdrus % de fd;k x;k A If a number is reduced from 120 to 96, then how much % is the number reduced? Indore: 3rd Floor, Sundaram Complex, Bhawar Kuan Indore (M.P.) cont. us 9893442214, 7970002214 3 Gwalior: Infront of Bank of Baroda, Near SaiBaba Mandir Phoolbagh Gwl (M.P.) Cont. 7524821440,7000360672  FOR – MPPSC, UPSC 22. ;fn 500 dk x% = 300 dk y% rFkk 200 dk y% dk x% = 60 gks rks x=? (Ans. (30√ ) if x% of 500= y% of 300 and x% of y% of 200=60 then find x? 23. ,d la[;k ds 45% dk 15% ;fn 105.3 gks rks bl la[;k dk 24% fdruk gksxkA (Ans. 374.4) if 15% of 45% of a number is 105.3, then what will be 24% of this number. 24. ;fn fdlh fHkUUk ds va”k esa 20 izfr”kr dh o`f) rFkk gj esa 100 izfr”kr dh o`f) dj ns rks u;k fHkUu izkIr gksrk gSA ewy fHkUUk Kkr djksA (Ans. ) If the numerator of a fraction is increased by 20 percent and the denominator is increased by 100 percent, then the new fraction 5 / 9 is obtained. Find the original fraction. 25. fdlh fHkUUk ds va”k esa 15 izfr”kr o`f) djus rFkk gj esa 8 izfr”kr deh djus ij izkIr gksrk gSA ewy fHkUu Kkr djksA (Ans. ) If the numerator of a fraction is increased by 15 percent and the denominator is decreased by 8 percent. Then the new fraction 15/16 is obtained. Find the original fraction. 26. ,d QqVckWy Vhe us ftrus eSp [ksys muesa ls 10 esa thr gkfly dhA ;fn mudh thr dk izfr”kr 40 Fkk rks ml Vhe us dqy fdrus eSp [ksysA (Ans. 25) A football team won 10 of the matches it played. If their winning percentage was 40, then how many matches did that team played? 27. ;fn pesyh ds ikl dqy /ku dk 75 % [kpZ djus ds ckn 600 ` “ks’k cps rks Kkr djks fd izkjaHk esa mlds ikl fdrus :Ik;s FksA (Ans. 2400) If Chameli has Rs.600 left after spending 75% of the total money, then find how much money she had initially. 28. jke viuh vk; dk 65% [kpZ djrk gS vkSj mldh cpr 1400 ` gS jke dh vk; Kkr djksA (Ans. 4000) Ram spends 65% of his income and his savings is Rs 1400. Find Ram's income. 29. ,d Ldwy esa 60% Nk= yMfd;ka gSa ;fn Ldwy esa yM+fd;ksa dh dqy la[;k 690 gS rks Ldwy esa dqy Nk=ksa dh la[;k Kkr djksA In a school 60% of the students are girls. If the total number of girls in the school is 690 then find the total number of students in the school. Indore: 3rd Floor, Sundaram Complex, Bhawar Kuan Indore (M.P.) cont. us 9893442214, 7970002214 4 Gwalior: Infront of Bank of Baroda, Near SaiBaba Mandir Phoolbagh Gwl (M.P.) Cont. 7524821440,7000360672  FOR – MPPSC, UPSC 30.,d izfr;ksfxrk esa 30000 Nk=ksa us Hkkx fy;k muesa 40% yMfd;ka rFkk 'ks"k yMds Fks ;fn izfr;ksfxrk esa 10% yM+dksa rFkk 12% yM+fd;ksa us iqjLdkj thrs] rks Kkr djks fd fdrus Nk=ksa us iq:Ldkj thrs A 30000 students participated in a competition, among them 40% were girls and the remaining were boys. If 10% boys and 12% girls won the prizes in the competition, then find out how many students won the prizes. 31. A dh vk; B ls 25% vf/kd gSA ] B dh vk; C ls 8% vf/kd gS ;fn A dh vk; 20250 :- gS rks C dh vk; Kkr dhft,A A's income is 25% more than B's. , B's income is 8% more than C's if c's income is Rs 20250. Find the income of C. 32.jke ] lquhy ls 10% vf/kd dekrk gS] rFkk lquhy ] Lokeh ls 20% vf/kd dekrk gSA] ;fn jke] Lokeh ls 3200 :- vf/kd dekrk gS rks lquhy dh vk; Kkr dhft, A Ram earns 10% more than Sunil, and Sunil earns 20% more than Swami. If Ram earns Rs. 3200 more than Swami. then find the income of Sunil. 33. fdlh “kgj esa 60% yksx fØdsV ilan djrs gS] 30% yksx gkWdh ilan djrs gSaA vkSj “ks’k vU; [ksy ilan djrs gSA ;fn dqy O;fDr;ksa dh la[;k 40 gtkj gks rks izR;sd izdkj dk [ksy ilan djus okys yksxksa dh la[;k Kkr djksA (Ans. (Cricket-2400, Hockey-1200, other-6000) In a city 60% people like cricket, 30% people like hockey. And the rest like other sports. If the total number of people is 40 thousand, then find the number of people who like each type of game. 34. ,d Nk= dks igys isij esa 45% vad izkIr gq,s rFkk nwljs isij esa 70% vad feysA og rhljs isij esa fdrus vad izkIr djs rkfd mldks vkSlr vad 60% gksAa A student got 45% marks in first paper and 70% marks in second paper. How many marks should he score in the third paper so that his average marks become 60%? 35. ,d vkneh dk osru 90000 #i;s gS ;fn mlds osru esa 20% dh o`f) dj nh tk;s rks u;k osru fdruk gksxkA (Ans.Rs. 108,000) The salary of a man is Rs 90000 if his salary is increased by 20% then what will be the new salary. 36. ,d “kgj dh tula[;k esa 30% o`f) ds ckn 2]60]000 gks tkrh gS izkjaHk esa “kgj dh tula[;k fdruh FkhA (Ans. 20,0000) After 30% increase in the population of a city, it becomes 2,60,000, what was the population of the city initially. 37. ,d LdwVj dh orZeku dher 10000 #i, gSA ;fn mldk çfro"kZ 10% ewY; ºzkl gksrk gS] rks 2 o"kZ ckn mldk ewY; D;k gksxk\ (Ans. Rs. 8100) The current price of a scooter is Rs. 10000. If its value decreases every year by 10%, then its value became after 2 years. Indore: 3rd Floor, Sundaram Complex, Bhawar Kuan Indore (M.P.) cont. us 9893442214, 7970002214 5 Gwalior: Infront of Bank of Baroda, Near SaiBaba Mandir Phoolbagh Gwl (M.P.) Cont. 7524821440,7000360672  FOR – MPPSC, UPSC 38. ;fn p dk p% 121 gS rks p dk eku Kkr djks\ (Ans. P=10) if the p% of p is 121. find the value of p? 39. fdlh uxj dh tula[;k 10% okf’kZd nj ls c