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lwB Aqy hwnI

lwB Aqy hwnI. b`icE ! lwB Aqy hwnI dy svwlW nMU h`l krn leI kuJ g`lW jo p`ky qOr qy Xwd r`KxIAW cwhIdIAW hn auh ieh hn ik jykr vyc mu`l > KRId m`ul qW lwB huMdw hY [ jykr KRId m`ul > vyc mu`l qW hwnI huMdI hY [ lwB%jW hwnI % hmySW KRId mu`l qy k`iFAw jWdw hY [.

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lwB Aqy hwnI

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  1. lwBAqyhwnI • b`icE! lwBAqyhwnIdysvwlWnMUh`lkrnleIkuJg`lWjop`kyqOrqyXwdr`KxIAWcwhIdIAWhnauhiehhnik • jykrvycmu`l>KRIdm`ulqWlwBhuMdwhY[ • jykrKRIdm`ul>vycmu`lqWhwnIhuMdIhY[ • lwB%jWhwnI% hmySWKRIdmu`lqyk`iFAwjWdwhY[

  2. rwmnyie`kvsqU 800 rupeyiv`cKRIdIAqyausnMU 840 rupeyiv`cvycid`qwausdwlwBjWhwnIpqwkro[KIRdmu`l = 800vycmu`l = 840vycmu`l> KRIdm`uliesleIlwB = 840-800=40

  3. dukwndwrnyie`kvsqU 900 rupeyiv`cKRIdky 850 rupeyiv`cvycid`qIausdwlwBjWhwnIpqwkro[KRIdmu`l = 900vycmu`l = 850vycmu`l< KRIdm`uliesleIhwnI = 900-850=50 rupey

  4. lMbysvwlWnMMUAswnqrIkynwlh`lkrnw • C`jwisMGny do m`JW 9900 rupeypRqIm`JdyihswbnwlvycIAW[ ie`kau`qy 10% lwBAqydUjIau~qy 10% hwnIhoeId`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI pihlwkys vycmu`l = 9900 lwB = 10% KRIdmu`l = vycmu`l ¿ 100/(100+ lwB%) = 9900 ¿ 100/(100+10) 9900 ¿ 100/110=9000

  5. dUsrwkys vycmu`l = 9900 hwnI = 10% KRIdmu`l = vycmu`l ¿ 100/(100- hwnI%) = 9900 ¿ 100/(100-10) 9900 ¿ 100/90=11000

  6. kulKRIdmu`l =9000+11000=20000 kulvycmu`l = 9900+9900=19800 hwnI = 20000-19800=200 hwnI % = 200¿100/20000= 1%

  7. AswnqrIkw • Aijhysvwlwiv`cijMnHWiv`cvycbrwbrhovyie`ksOdyiv`clwB% AqydUsrysOdyiv`chwnI % brwbrhovyaunHWkysWiv`chmySwhwnIhuMdIhY • hwnI % = lwB ¿ hwnI/100 = 10¿ 10/100=1% hwnI

  8. Aihmdny do bweIswiekl 960 rupeypRqIbweIswieklvycyausnMUie`kqy 20% lwBAqydUjy ‘qy 20% hwnIhoeI[d`soausnMUswrysOdyiv`cikny % lwBjWhwnIhoeI? • (1) 2% lwB (2) 4% hwnI (3) 4% lwB (4) nwlwBnwhwnI

  9. Aihmdny do bweIswiekl 960 rupeypRqIbweIswieklvycyausnMUie`kqy 20% lwBAqydUjy ‘qy 20% hwnIhoeI[d`soausnMUswrysOdyiv`cikny % lwBjWhwnIhoeI? • (1) 2% lwB(2) 4% hwnI (3) 4% lwB (4) nwlwBnwhwnI

  10. C`jwisMGny do m`JW 9900 rupeypRqIm`JdyihswbnwlKRIdIAW[ ie`knMU 20% lwBAqydUjIau~qy 20% hwnI ‘qyvycid`qwd`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI[ • (1) 2% lwB (2) 4% hwnI (3) 4% lwB (4) nwlwBnwhwnI

  11. C`jwisMGny do m`JW 9900 rupeypRqIm`JdyihswbnwlKRIdIAW[ ie`knMU 20% lwBAqydUjIau~qy 20% hwnI ‘qyvycid`qwd`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI[ • (1) 2% lwB (2) 4% hwnI (3) 4% lwB(4) nwlwBnwhwnI

  12. pRSn • mnjIqisMGny do motrswiekl 32000 rupeypRqImotrswieklKrIdyie`knMU 15% lwBAqydUjynMu 15% hwnIqyvycid`qwd`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI? • (1) 22.5% lwB (2) nwlwBnwhwnI (3) 2.25% lwB (4)2.25% hwnI

  13. au`qr • mnjIqisMGny do motrswiekl 32000 rupeypRqImotrswieklKrIdyie`knMU15% lwBAqydUjynMu15% hwnIqyvycid`qwd`soausnMUiessOdyiv`cikMny % lwBjWhwnIhoeI? • (1) 22.5% lwB(2) nwlwBnwhwnI(3) 2.25% lwB (4)2.25% hwnI

  14. 5 rupeydy 6 kylyAqyaunHyhI 6 rupeydy 5 kylyKRIdkyie`kruipAwpRqIkylwvycxvwlydukwndwrnMUikMny % lwBjWhwnIhovygI? • AijhysvwlWnMUh`lkrnleIpihlWAsIN 5 Aqy 6 dwlGuqmsmwpvrqX=30 k`Fdy hw • AqymMnlYNdyhWikdukwndwrnydonWiksmdy 30-30 kylyley[

  15. pihlIiksmdy • 5 kyilAWdwKRId=6 • 1 kylydwKRId=6/5 • 30 kyilAWdwKRId=6/5¿30=36 rupey

  16. dUsrIiksmdy • 6 kyilAWdwKRId=5 • 1 kylydwKRId=5/6 • 30 kyilAWdwKRId=5/6¿30=25 rupey

  17. pihlIiksmdy 30 kyilAwWdwKRId=36 rupey • dUsrIiksmdy 30 kyilAwWdwKRId=25 rupey • dohWiksmdy 60 kyilAWdwKRId=36+25=61 rupey

  18. 1 kylydwvyc = 1 rupey • 60 kyilAWdwvyc=1¿60=60 rupey • hwnI =61-60 = 1 rupey • hwnI % = hwnI ¿100/ KRIdmu`l • = 1¿100/61= 100/61= 1 39/61 % hwnI

  19. AswnqrIkw • 5 rupeydy 6 kylyAqyaunHyhI 6 rupeydy 5 kylyKRIdkyie`kruipAwpRqIkylwvycxvwlydukwndwrnMUikMny % lwBjWhwnIhovygI? • AihjykysWiv`cvIhmySwhwnIhuMdIhY[ • KRIdmu`l =52+62 = 25+36=61 • vycmu`l = 2¿5¿6 =60 • hwnI = 61-60=1 rupey hwnI % =

  20. pRSn • 8 rupeydy 10 sMqryAqyaunHyhI 10 rupeydy 8 sMqryyKRIdkyie`kruipAwpRqIsMqrwvycxvwlydukwndwrnMUikMny % lwBjWhwnIhovygI? • AihjykysWiv`cvIhmySwhwnIhuMdIhY[ • KRIdmu`l =82+102 = 64+100=164 • vycmu`l = 2¿8¿10 =160 • hwnI =164-160=4 • hwnI % = 4¿100/164=

  21. PwrmUlw • prupeydyqsMqryAqyaunHyhIq rupeydypsMqryyKRIdkyie`kruipAwpRqIsMqrwvycxvwlydukwndwrnMUikMny % lwBjWhwnIhovygI? • AihjykysWiv`cvIhmySwhwnIhuMdIhY[ • KRIdmu`l = p 2+q2 = • vycmu`l = 2¿p¿q =

  22. jdoNvsqWdymu`ldIbjweyigxqIdIg`lkIqIhovy • 16 pY~nWdwvyc, 20 pY~nWdyKRIdmu`ldybrwbrhYlwBjWhwnI % pqwkro[ • auprokqsvwliv`c 16 pY~nvycxnwl 4 pY~nbcrhyhn • lwB %=bcIAWvsqW ¿ 100 • vycIAWvsqW • lwB % = 4 ¿ 100 = 25% 16

  23. ie`kbyeImwndukwndwriesg`ldwdwhvwkrdwhYikauhvsqWKRIdmu`lqyvycirhwhYlyiknauhvsqU 1 iklogrwmdIbjwey900 gRwmvsqUqolirhwhYausdwlwB % pqwkro • vycIvsqU = 900 gRwm • bcIvsqU = 100 gRwm • lwB % = bcIvsqU ¿100 • vycIvsqU • lwB = 100¿100 = 11 • 900

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