BANK & INSURANCE (SIMPLIFICATION PERCENTAGE) Part 1

Total Questions: 50

21. 45% of 240 + 65% of 380 = X + 13 × 9

Correct Answer: (b) 238
Solution:

45% of 240 = 0.45 × 240 = 108

65% of 380 = 0.65 × 380 = 247

LHS = 108 + 247 = 355

13 × 9 = 117

355 = X + 117

X = 355 − 117 = 238

22. 24% of 750 + √169 × 7 = X + 256^(1/4)

Correct Answer: (c) 267
Solution:

24% of 750 = 0.24 × 750 = 180

√169 = 13

√169 × 7 = 13 × 7 = 91

LHS = 180 + 91 = 271

256^(1/4) = 4 (because 4⁴ = 256)

271 = X + 4

X = 271 − 4 = 267

23. ? × 19 + 1938 ÷ 6 − 78 = 35% of 1840

Correct Answer: (b) 21
Solution:

35% of 1840 = 0.35 × 1840 = 644

1938 ÷ 6 = 323

? × 19 + 323 − 78 = 644

? × 19 + 245 = 644

? × 19 = 644 − 245 = 399

? = 399 ÷ 19 = 21

24. 29² + (17 × 7) − 37.5% of 40% of 3680 = X

Correct Answer: (a) 408
Solution:

29² = 841

17 × 7 = 119

40% of 3680 = 0.40 × 3680 = 1472

37.5% of 1472 = 0.375 × 1472 = 552

X = 841 + 119 − 552 = 408

25. 27 × 13 + 45% of X = 513

Correct Answer: (c) 360
Solution:

27 × 13 = 351

351 + 45% of X = 513

0.45X = 513 − 351 = 162

X = 162 ÷ 0.45 = 360

26. 8³ + 18 × 48 ÷ 27 = X + 12 × 13 + 14.28% of 280

Correct Answer: (a) 348
Solution:

8³ = 512

18 × 48 ÷ 27 = (864 ÷ 27) = 32

LHS = 512 + 32 = 544

12 × 13 = 156

14.28% of 280 ≈ 40 (since 14.285…% = 1/7 and 280 ÷ 7 = 40)

RHS (without X) = 156 + 40 = 196

544 = X + 196

X = 544 − 196 = 348

27. (X ÷ 4 + 85% of 800 ÷ 17) × 8 = 560

Correct Answer: (d) 120
Solution:

85% of 800 = 0.85 × 800 = 680

680 ÷ 17 = 40

(X ÷ 4 + 40) × 8 = 560

X ÷ 4 + 40 = 560 ÷ 8 = 70

X ÷ 4 = 70 − 40 = 30

X = 30 × 4 = 120

28. 41² − 39² + 6.25 × 16 = X% of 400

Correct Answer: (b) 65
Solution:

41² = 1681

39² = 1521

41² − 39² = 1681 − 1521 = 160

6.25 × 16 = 100

LHS = 160 + 100 = 260

X% of 400 = 260

X = (260 ÷ 400) × 100 = 65

29. (1491 ÷ 7 × 3 − 19 × 8) + 33% of 1600 = X + 3⁵

Correct Answer: (a) 772
Solution:

1491 ÷ 7 × 3 = (1491 ÷ 7) × 3 = 213 × 3 = 639

19 × 8 = 152

(639 − 152) = 487

33% of 1600 = 0.33 × 1600 = 528

LHS = 487 + 528 = 1015

3⁵ = 243

1015 = X + 243

X = 1015 − 243 = 772

30. 150% of 260 + 6.25% of 960 = X + 89

Correct Answer: (d) 361
Solution:

150% of 260 = 1.5 × 260 = 390

6.25% of 960 = 0.0625 × 960 = 60

LHS = 390 + 60 = 450

450 = X + 89

X = 450 − 89 = 361