Percentage: Formulas, Shortcuts and Solved Examples — MCQs with Answers (Set 4)

First find 58% of 69: (58/100) x 69 = 40.02. Next find 10% of 288: (10/100) x 288 = 28.8. The question asks us to subtract these two values. So 40.02 – 28.8 = 11.22. Check: each percentage was computed independently before applying ‘-‘ between them.

First find 56% of 549: (56/100) x 549 = 307.44. Next find 25% of 211: (25/100) x 211 = 52.75. The question asks us to add these two values. So 307.44 + 52.75 = 360.19. Check: each percentage was computed independently before applying ‘+’ between them.

First find 29% of 619: (29/100) x 619 = 179.51. Next find 15% of 767: (15/100) x 767 = 115.05. The question asks us to add these two values. So 179.51 + 115.05 = 294.56. Check: each percentage was computed independently before applying ‘+’ between them.

First find 23% of 192: (23/100) x 192 = 44.16. Next find 40% of 620: (40/100) x 620 = 248. The question asks us to subtract these two values. So 44.16 – 248 = -203.84. Check: each percentage was computed independently before applying ‘-‘ between them.

First find 59% of 637: (59/100) x 637 = 375.83. Next find 50% of 830: (50/100) x 830 = 415. The question asks us to add these two values. So 375.83 + 415 = 790.83. Check: each percentage was computed independently before applying ‘+’ between them.

First find 25% of 512: (25/100) x 512 = 128. Next find 35% of 157: (35/100) x 157 = 54.95. The question asks us to subtract these two values. So 128 – 54.95 = 73.05. Check: each percentage was computed independently before applying ‘-‘ between them.

First find 17% of 428: (17/100) x 428 = 72.76. Next find 29% of 197: (29/100) x 197 = 57.13. The question asks us to subtract these two values. So 72.76 – 57.13 = 15.63. Check: each percentage was computed independently before applying ‘-‘ between them.

First find 25% of 161: (25/100) x 161 = 40.25. Next find 40% of 206: (40/100) x 206 = 82.4. The question asks us to subtract these two values. So 40.25 – 82.4 = -42.15. Check: each percentage was computed independently before applying ‘-‘ between them.

Let the number be 3300. We need 89% of 3300. By definition, 89% of 3300 = (89/100) x 3300. First multiply: 89 x 3300 = 293700. Then divide by 100: 293700/100 = 2937. Check: 89% of 3300 also equals 3300% of 89, i.e. (3300/100) x 89 = 2937.

Let the number be 2335. We need 77% of 2335. By definition, 77% of 2335 = (77/100) x 2335. First multiply: 77 x 2335 = 179795. Then divide by 100: 179795/100 = 1797.95. Check: 77% of 2335 also equals 2335% of 77, i.e. (2335/100) x 77 = 1797.95.

Let the number be 3525. We need 90% of 3525. By definition, 90% of 3525 = (90/100) x 3525. First multiply: 90 x 3525 = 317250. Then divide by 100: 317250/100 = 3172.5. Check: 90% of 3525 also equals 3525% of 90, i.e. (3525/100) x 90 = 3172.5.

Let the number be 3060. We need 20% of 3060. By definition, 20% of 3060 = (20/100) x 3060. First multiply: 20 x 3060 = 61200. Then divide by 100: 61200/100 = 612. Check: 20% of 3060 also equals 3060% of 20, i.e. (3060/100) x 20 = 612.

Let the number be 2505. We need 62% of 2505. By definition, 62% of 2505 = (62/100) x 2505. First multiply: 62 x 2505 = 155310. Then divide by 100: 155310/100 = 1553.1. Check: 62% of 2505 also equals 2505% of 62, i.e. (2505/100) x 62 = 1553.1.

Let the number be 3165. We need 39% of 3165. By definition, 39% of 3165 = (39/100) x 3165. First multiply: 39 x 3165 = 123435. Then divide by 100: 123435/100 = 1234.35. Check: 39% of 3165 also equals 3165% of 39, i.e. (3165/100) x 39 = 1234.35.

Let the number be 1255. We need 14% of 1255. By definition, 14% of 1255 = (14/100) x 1255. First multiply: 14 x 1255 = 17570. Then divide by 100: 17570/100 = 175.7. Check: 14% of 1255 also equals 1255% of 14, i.e. (1255/100) x 14 = 175.7.

Let the number be 665. We need 57% of 665. By definition, 57% of 665 = (57/100) x 665. First multiply: 57 x 665 = 37905. Then divide by 100: 37905/100 = 379.05. Check: 57% of 665 also equals 665% of 57, i.e. (665/100) x 57 = 379.05.

Let the number be 1910. We need 7% of 1910. By definition, 7% of 1910 = (7/100) x 1910. First multiply: 7 x 1910 = 13370. Then divide by 100: 13370/100 = 133.7. Check: 7% of 1910 also equals 1910% of 7, i.e. (1910/100) x 7 = 133.7.

Let the number be 1385. We need 95% of 1385. By definition, 95% of 1385 = (95/100) x 1385. First multiply: 95 x 1385 = 131575. Then divide by 100: 131575/100 = 1315.75. Check: 95% of 1385 also equals 1385% of 95, i.e. (1385/100) x 95 = 1315.75.

Let the number be 3440. We need 83% of 3440. By definition, 83% of 3440 = (83/100) x 3440. First multiply: 83 x 3440 = 285520. Then divide by 100: 285520/100 = 2855.2. Check: 83% of 3440 also equals 3440% of 83, i.e. (3440/100) x 83 = 2855.2.

Let the number be 4210. We need 22% of 4210. By definition, 22% of 4210 = (22/100) x 4210. First multiply: 22 x 4210 = 92620. Then divide by 100: 92620/100 = 926.2. Check: 22% of 4210 also equals 4210% of 22, i.e. (4210/100) x 22 = 926.2.

Let the percentage be 70%. By definition, 70% = 70/100. The GCD of 70 and 100 is 10. Dividing numerator and denominator by 10 gives 7/10. Check: 7/10 as a percentage is 7/10 x 100 = 70%.

Let the percentage be 27%. By definition, 27% = 27/100. The GCD of 27 and 100 is 1. Dividing numerator and denominator by 1 gives 27/100. Check: 27/100 as a percentage is 27/100 x 100 = 27%.

Let the percentage be 41%. By definition, 41% = 41/100. The GCD of 41 and 100 is 1. Dividing numerator and denominator by 1 gives 41/100. Check: 41/100 as a percentage is 41/100 x 100 = 41%.

Let the percentage be 76%. By definition, 76% = 76/100. The GCD of 76 and 100 is 4. Dividing numerator and denominator by 4 gives 19/25. Check: 19/25 as a percentage is 19/25 x 100 = 76%.

Let the percentage be 62%. By definition, 62% = 62/100. The GCD of 62 and 100 is 2. Dividing numerator and denominator by 2 gives 31/50. Check: 31/50 as a percentage is 31/50 x 100 = 62%.

Let the percentage be 25%. By definition, 25% = 25/100. The GCD of 25 and 100 is 25. Dividing numerator and denominator by 25 gives 1/4. Check: 1/4 as a percentage is 1/4 x 100 = 25%.

Let the percentage be 67%. By definition, 67% = 67/100. The GCD of 67 and 100 is 1. Dividing numerator and denominator by 1 gives 67/100. Check: 67/100 as a percentage is 67/100 x 100 = 67%.

Let the percentage be 39%. By definition, 39% = 39/100. The GCD of 39 and 100 is 1. Dividing numerator and denominator by 1 gives 39/100. Check: 39/100 as a percentage is 39/100 x 100 = 39%.

Let the percentage be 94%. By definition, 94% = 94/100. The GCD of 94 and 100 is 2. Dividing numerator and denominator by 2 gives 47/50. Check: 47/50 as a percentage is 47/50 x 100 = 94%.

Let the percentage be 68%. By definition, 68% = 68/100. The GCD of 68 and 100 is 4. Dividing numerator and denominator by 4 gives 17/25. Check: 17/25 as a percentage is 17/25 x 100 = 68%.

Let the fraction be 1/8. To convert a fraction to a percentage, multiply by 100. 1/8 x 100 = 100/8. Dividing gives 12.5%. Check: 12.5% as a fraction simplifies back to 1/8.

Let the fraction be 23/25. To convert a fraction to a percentage, multiply by 100. 23/25 x 100 = 2300/25. Dividing gives 92%. Check: 92% as a fraction simplifies back to 23/25.

Let the fraction be 19/20. To convert a fraction to a percentage, multiply by 100. 19/20 x 100 = 1900/20. Dividing gives 95%. Check: 95% as a fraction simplifies back to 19/20.

Let the fraction be 11/40. To convert a fraction to a percentage, multiply by 100. 11/40 x 100 = 1100/40. Dividing gives 27.5%. Check: 27.5% as a fraction simplifies back to 11/40.

Let the fraction be 22/25. To convert a fraction to a percentage, multiply by 100. 22/25 x 100 = 2200/25. Dividing gives 88%. Check: 88% as a fraction simplifies back to 22/25.

Let the fraction be 7/10. To convert a fraction to a percentage, multiply by 100. 7/10 x 100 = 700/10. Dividing gives 70%. Check: 70% as a fraction simplifies back to 7/10.

Let the fraction be 4/5. To convert a fraction to a percentage, multiply by 100. 4/5 x 100 = 400/5. Dividing gives 80%. Check: 80% as a fraction simplifies back to 4/5.

Let the fraction be 3/10. To convert a fraction to a percentage, multiply by 100. 3/10 x 100 = 300/10. Dividing gives 30%. Check: 30% as a fraction simplifies back to 3/10.

Let the fraction be 7/8. To convert a fraction to a percentage, multiply by 100. 7/8 x 100 = 700/8. Dividing gives 87.5%. Check: 87.5% as a fraction simplifies back to 7/8.

Let the fraction be 3/5. To convert a fraction to a percentage, multiply by 100. 3/5 x 100 = 300/5. Dividing gives 60%. Check: 60% as a fraction simplifies back to 3/5.