Understanding the Percentage Difference
The question asks us to find the percentage by which 'y' exceeds 'x', given that 'x' is 40% less than 'y'.
Calculating the Relationship Between x and y
If 'x' is less than 'y' by 40%, it means 'x' is $100\% - 40\% = 60\%$ of 'y'.
We can express this mathematically:
$x = y * (1 - 40/100)$
$x = y * (1 - 0.40)$
$x = 0.60y$
Calculating Percentage Exceed
To find the percentage by which 'y' exceeds 'x', we use the formula:
$Percentage Exceed = ((y - x) / x) * 100\%$
Now, substitute the value of 'x' from the previous step ($x = 0.60y$):
$Percentage Exceed = ((y - 0.60y) / 0.60y) * 100\%$
$Percentage Exceed = (0.40y / 0.60y) * 100\%$
Simplify the fraction:
$Percentage Exceed = (0.40 / 0.60) * 100\%$
$Percentage Exceed = (4 / 6) * 100\%$
$Percentage Exceed = (2 / 3) * 100\%$
Final Percentage Calculation
Convert the fraction to a percentage:
$(2 / 3) * 100\% = 66.66...\%$
This is commonly expressed as a mixed fraction:
$66\frac{2}{3}\%$
Therefore, 'y' exceeds 'x' by $66\frac{2}{3}\%$.
Similar Questions
- In an election between two candidates 92 % of the registered voters cast their vote and 20 % of the votes polled were found invalid. Winning candidate got 75 % of the valid votes and won the election by a margin of 322 votes. How many voters were registered?
- If the income of Richa is $9\frac{1}{11}\%$ more than that of Meena, then the income of Meena is less than that of Richa by:
- In an election a candidate with $37\%$ votes loses by a difference of $520000$ votes to the winning candidate. What is the total number of votes cast in that election with two contestants?
- $60\%$ of $40\%$ of $32\%$ of an amount is ₹432. What is the amount (in ₹)?
- A number, when increased by 70%, gives 3400. The number is:
- In an election between two candidates, 80% of the registered voters cast their vote and 19% of the votes polled were found invalid. The winning candidate got 70% of the valid votes and won the election by a margin of 1458 votes. How many voters were registered?
- Farman has to secure 60% marks to pass. He got 60 marks and fail by 60 marks. What are the maximum marks?
- The population of a town increases by 5% annually and its present population is 640000. What will its population be in 2 years' time?
- Rani spent 6.25% of what she had. If her expenditure amounted to ₹75, what amount did she have?
- Sita earns 25% more than Rahim. By how much % does Rahim earn less than Sita?
Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
