Simplification practice Set 2


Simplification practice Set 2

 

Example 1: 60% of 300 – ?% of 160 = 132
Solution : 60 x 300 – ? x 160 / 100 x 100 = 132
180 – ? x 1.6 = 132
? = 48 x 10 / 16
? = 30

 

 

Example 2: 17.7% of 322 = ?
Solution : 17.7 x 322 / 100 x 10 = ?
56994 / 100 x 10 = ?
? = 56.994

 

 

Example 3: 18% of 775 + ? = 375
Solution : 18 x 775 + ? = 375
139.50 + ? = 375
? = 375 – 139.50
? = 235.5

 

 

Example 4: 16% of 875 + ? = 387
Solution : 16 x 875 / 100 + ? = 387
140.00 + ? = 387
? = 387 – 140.00
? = 247

 

 

Example 5: 68% of 480 – ? % 256 = 206.4
Solution : 68 x 480 / 100 – ? x 256 / 100 = 206.4
326.40 – ? x 2.56 = 206.4
– ? x 2.56 = 206.4 – 326.40
? = 120 x 100 / 256
? = 46.875

 

 

Example 6: 13.3% of 329 = ?
Solution : 133 x 329 / 100 x 10 = ?
? = 43.757

 

 

Example 7: 60% of 250 + 40% of 150 = ? % of 700
Solution : 60 x 250 / 100 + 40 x 150 / 100 = ? x 700 / 100
150 + 60 = ? x 7
? = 210 / 7
? = 30

 

 

Example 8: 20% of 5/9 of 450 = ?
Solution : 20 x 5 x 450 / 100 x 9 = ?
? = 50

 

 

Example 9: 70% of ? – 38.5 = 171.5
Solution : 70 x ? / 100 = 171.5 + 38.5
? = 210 x 100 / 70
? = 300

 

 

Example 10: 45% of 1840 – 35% of 640 = ?
Solution : 45 x 1840 / 100 – 35 x 640 / 100 = ?
? = 9 x 92 – 7 x 32 = ?
? = 828 – 224
? = 604

 

 

Example 11: ? % of 352.5 / 2.35 = 3
Solution :
? x 352.5/100 = 3 x 2.35
? x 3.525 = 7.05
? = 7.05/3.525
? = 2

 

 

Example 12: 65% of 725 – ? % of 579 = 326.5
Solution :
65 x 725 / 100 – ? x 579 / 100 = 326.5
471.25 – ? x 5.79 = 326.5
? = 144.75/5.79
? = 25

 

 

Example 13: 0.09% of 1125 – 0.03% of 750 = ?
Solution :
0.09 x 1125 / 100 – 0.03 x 750 / 100 = ?
? = 1.0125 – 0.225
? = 0.7875

 

 

Example 14: 1/14 of 28% of 5600 = ?
Solution : 1 x 28 x 5600 / 14 x 100 = ?
? = 112

 

 

Example 15: 49% of 3990 = ?
Solution : 49 x 3990 / 100 = ?
? = 1955.10

 

 

Example 16: 45% of 700 + 90% of 195 = ?
Solution : 45 x 700/100 + 90 x 195/100 = ?
315 + 175.5 = ?
? = 490.5

 

 

Example 17: 275 x 5 / 200 of 11% = ?
Solution : 1375 / 200 x 11 / 100 = ?
1375 / 22 = ?
?= 62.5

 

 

Example 18: 59% of 32103 – 33% of 16344 = ?
Solution : 59 x 32103 / 100 – 33 x 16344 / 100 = ?
18940.77 – 5393.52 = ?
? = 13547.25

 

 

Example 19: 57% of 7540 + 18% of 7960 = ? + 2630
Solution : 57 x 7540 / 100 + 18 x 7960 / 100 = ? + 2630
4297.8 + 1432.8 = ? + 2630
5730.6 = ? + 2630
? = 3100.6

 

 

Example 20: 23% of 1600 – ?% of 650 = 251
Solution : 23 x 1600 / 100 – ? x 650 / 100 = 251
368 – ? of 6.5 = 251
? of 6.5 = 117
? = 117 / 6.5
? = 18

 

 

Example 21: 47880 / 14% of 750 = ?
Solution : 47880 / 14 x 750 / 100 = ?
47880 / 105 = ?
? = 47880 / 105
? = 456

 

 

Example 22: 3/2 of 8/5 of 70% of 750 = ?
Solution : 3 x 8 x 70 x 750/ 2 x 5 x 100 = ?
? = 1260

 

 

Example 23: 35% of 450 – 55% of 350 = ? – 90
Solution : 35 x 450 / 100 – 55 x 350 / 100 = ? – 90
157.5 – 192.5 = ? – 90
? = 90 – 35
? = 55

 

 

Example 24: 27% of 8250 – 14% of 6250 = ?
Solution : 27 x 8250 / 100 – 14 x 6250 / 100 = ?
2227.5 – 875 = ?
? = 1352.5

 

 

Example 26: 6 / 25 of 125% of 990 = ?
Solution : 6 x 125 x 990 / 25 x 100 = ?
? = 297

 

 

Example 27: ? % of 550 + 725 = 1000
Solution : ? % of 550 = 1000 – 725
? x 550 / 100 = 275
? = 275 x 100 / 550
? = 50

 

 

Example 28: 20% of ? – 875 = 625
Solution : 20% of ? = 875 + 625
20% of ? = 1500
20 x ? / 100 = 1500
? = 1500 x 100 / 20
? = 7500

 

 

Example 29: 16% of 50 x 34% of 350 = 900 + ?
Solution : 16 x 50 x 34 x 350 / 100 x 100 = 900 + ?
8 x 17 x 7 = 900 + ?
? = 952 – 900
? = 52

 

 

Example 30: √625% of √4900
Solution : 25 x 70 / 100 = ?
? = 17.5

 

 

Example 31: 15% of 60 + 27% of 90 = ?
Solution : 15 x 60 + 27 x 90 / 100 x 100 = ?
9.0 + 24.3 = ?
? = 27.3

 

 

Example 32: 16.5% of 2400 = 6/5 of ?
Solution : 16.5 x 2400 / 100 = 6/5 of ?
396 = 6/5 of ?
? = 396 x 5 / 6
? = 330

 

 

Example 33: 35% of 965 – 79% of 45 = ?
Solution : 35 x 965 / 100 – 79 x 45 / 100 = ?
323.75 – 35.55 =?
? = 288.2

 

 

Example 34: 6% of 4275 = ?
Solution : 6 x 4275 / 100 = ?
25650 / 100 = ?
? = 256.5

 

 

Example 35: 49% of 600/? = 6
Solution :49 x 600 / 100/? = 6
294 = ? x 6
? = 294 / 6
? = 49

 

 

Example 36: 54.5% of 600 + 30.5% of 1800 =(?)2 -85
Solution : 545 x 600 / 100×10 + 305 x 1800/100×10 = (?)2 – 85
327 + 549 = (?)2 – 85
(?)2 = 961
? = 31

 

 

Example 37: 15% of 440 + 13% of 380 = ?
Solution : 15 x 440 / 100 + 13 x 380 / 100 = ?
66 + 49.4 = ?
? = 115.4

 

 

Example 38: 500% of + 975 = 3365
Solution : 500% of ? = 3365 – 975
500 x ? / 100 = 2390
? = 2390 / 5
? = 478

 

 

Example 39: 89% of 688 = ?
Solution : 89 x 688 / 100 = ?
? = 612.32

 

 

Example 40: 162% of 992 + 63% of 550 = ? + 875
Solution : 162 x 992 / 100 + 63 x 550 / 100 = ? + 875
1607.4 + 346.5 = ? + 875
? = 1953.54 – 875
? = 1078.54

 

 

Example 41: 55% of 3500 + 54% of 3650 – 59% of 6500 = ?
Solution : 55 x 3500 / 100 + 54 x 3650 / 100 – 59 x 6500 / 100
1925 + 1971 – 3835 = ?
3896 – 3835 = ?
? = 65

 

 

Example 42: 54% of 7550 + 49% of 6550 = ?
Solution : 54 x 7550 / 100 + 49 x 6550 / 100 = ?
4077 + 3209.5 = ?
? = 7286.5

 

 

Example 43: ?% of 255 + 35% of 600 = 258.45
Solution : ? x 255 / 100 + 35 x 600 / 100 = 258.45
? x 2.55 = 258.45 – 210
? x 2.55 = 48.45
? = 48.45/2.55
? = 19

 

 

Example 44: 19% of 999 + 263.39 = ?
Solution : 19 x 999 /100 + 263.99 = ?
189.81 + 263.99 = ?
? = 453.8

 

 

Example 45: 29% of 420 – 10.55% of 320 = ?
Solution : 29 x 420 / 100 – 10.55 x 320 / 100 = ?
121.80 – 33.76 = ?
? = 88.04

 

 

Example 46: 29% of 890 – 33% of 160 = ?
Solution : 29 x 890/100 – 33 x 160/100 = ?
258.10 – 52.80 = ?
? = 205.3

 

 

Example 47: 43% of 716 – 25% of 650 = ?
Solution : 43 x 716/100 – 25 x 650/100 = ?
307.88 – 162.50 = ?
? = 145.38

 

 

Example 48: 19.1% of 990 = ?
Solution : 19.1 x 990/100 = ?
? = 189.090

 

 

Example 49: 37% of 350 + 47% of 650 = ?
Solution : 37 x 350 / 100 + 47 x 650 /100 = ?
129.50 + 305.50 = ? ?
? = 435

 

 

Example 50: 87% of 768 + 29% of 999 = 333.23 + ?
Solution : 87 x 768 /100 + 29 x 999 /100 = 333.23 + ?
683.52 + 289.71 = 333.23 + ?
973.23 – 333.23 = ?
? = 640

 

 

Example 51: 38% of 200 – 45% of 340 = 68 – ?
Solution : 38 x 200 / 100 – 45 x 340 / 100 = 68 – ?
76 – 153 = 68 – ?
? = 77 + 68
? = 145

 

 

Example 52: ? % of 1200 – 15% of 1220 = 75
Solution : ? = 183 + 75 / 12
? = 21.5
Example 53: 360% of190 /360 = ?
Solution : 360 x190 / 100 x 360 = ?
? = 1.9

 

 

Example 54: 78% of 750 + 34% of 600 = ?% of 25
Solution : 78 x 750 / 100 + 34 x 600 / 100 = ?% of 25
585 + 204 = ?% x 25
? = 789 x 100 /25
? = 3156

 

 

Example 55: ?% of 616 – 50% of 482 = 103.96
Solution : ? x 616 / 100 – 50 x 482 / 100 = 103.96
61.6 – 241 = 103.96
? x 61.6 = 103.96 + 241
? = 5.6

 

 

Example 56 : 1/6 of(92)% of 24/23 of (650) = 85 + ?
Answer : 1/6 x 92 x 24/23 x 650 = 85 + ?
? = 104 – 92
? = 12

 

 

Example 57 : 82 x 576 / 2√1296 = (?)3 + 144
Answer : 82 x 8 = (?)3 + 144
656 = (?)3 + 144
512 = (?)3
? = 8

 

 

Example 58: 53.59 + 61.42 – 96.78 = ? + 11.21
Answer : ? = 18.23 – 11.21
? = 6.92

 

 

Example 59: 53.59 + 61.42 – 96.78 = ? + 11.21
Answer : ? = 18.23 – 11.21
? = 6.92

Example 60: (6-3)2 = ?-√216
Answer : ? – √216 = (√6 – 3)2
? = 6 + 9 – 6√6 + 6√6
= 15

 

 

Example 60: 82 x 576 / 2√1296 = (?)3 + 144
Answer : 82 x 576 / 2√1296 = (?)3 + 144
82 x 8 = (?)3 + 144
656 = (?)3 + 144
512 = (?)3
(?)3 = 512
? = 8

 

 

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