Question : If, in a competitive exam, the marks obtained by Sam are 19% less than those of Peter, then the marks obtained by Peter are how much percentage more than the marks obtained by Sam? (Correct to two decimal places)
Option 1: 28.64%
Option 2: 22.25%
Option 3: 21.50%
Option 4: 23.46%
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Correct Answer: 23.46%
Solution : Let the marks of Peter be $100$. $\therefore$ Marks obtained by sam = $\frac{(100-19)}{100}\times 100=\frac{81}{100}\times 100 = 81$ Now, the percentage of marks obtained by Peter is more than that of Sam's = $\frac{19}{81}\times 100$ = $23.46{\%}$ Hence, the correct answer is 23.46%.
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Question : In an examination, B obtained 20% more marks than those obtained by A, and A obtained 10% fewer marks than those obtained by C. D obtained 20% more marks than those obtained by C. By what percentage are the marks obtained by D more than those obtained by A?
Option 1: $33 \frac{1}{3} \%$
Option 2: $13 \frac{1}{3} \%$
Option 3: $43 \frac{1}{3} \%$
Option 4: $23 \frac{1}{3} \%$
Question : If the price of petrol is increased by 81%, by what percentage should the consumption of petrol be decreased by the consumer if the expenditure on petrol remains unchanged? (Correct to two decimal places).
Option 1: 40.45%
Option 2: 41.25%
Option 3: 43.12%
Option 4: 44.76%
Question : A number is decreased by 20% to get another number. The number so obtained is increased by 200% to get a third number. The difference between the third number and the original number is what percentage more or less than the difference between the second and the third number?
Option 1: 15.7% more
Option 2: 15.7% less
Option 3: 12.5% more
Option 4: 12.5% less
Question : In an examination, A got 25% more marks than B, B got 10% less than C, and C got 25% more than D. If D got 320 marks out of 500, the marks obtained by A were:
Option 1: 405
Option 2: 450
Option 3: 360
Option 4: 400
Question : Two students appeared for an examination. One of them secured 19 more marks than the other and his marks were 60% of the sum of their marks. The marks obtained by them are:
Option 1: 78 and 59
Option 2: 57 and 38
Option 3: 45 and 26
Option 4: 99 and 80
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