Percentage

33.33%

20%

Rs.42

Useful Formula.

Formula for Percentage reduction in consumption

The formula for Successive Discount

44%

To find the number, you can set up an equation using the given information. 

The number, represented by x, is equal to 65% of x, which is 21 less than 4/5 of the number.

You can then solve for x by rearranging the terms and solving the equation. 

After rearranging the terms and solving, you get x = 140.

Therefore, the number is 140

Calculate the error percentage for a measurement of 81.5 kilometers, with a known value of 81.472 kilometers. 

To do this, you can subtract the known value from the measured value to get the error, and then divide the error by the known value and multiply by 100% to express the error as a percentage.

Using the formula you provided, the error percentage would be calculated as follows:

Error = (81.5 – 81.472) km = 0.028 km
Required percentage = [(0.028/81.472) * 100]% = 0.034%

This means that the error in the measurement is 0.034%.

The solution would be calculated as follows:

50% of (x-y) = 30% of (x+y)
(50/100)(x-y) = (30/100)(x+y)
5(x-y) = 3(x+y)
2x = 8y
x = 4y

Therefore, the required percentage is ((y/x) * 100)% = ((y/4y) * 100) = 25%.

This means that y is equal to 25% of x 

The solution would be calculated as follows:

Let the initial amount with Mr. Jones be Rs. x.

Then the money given to the wife is

 Rs. (40/100)x = Rs. (2x/5).
The balance after this transaction is 

Rs. (x – (2x/5)) = Rs. (3x/5).

The money given to the three sons is 

Rs. (3 * ((20/100) * (3x/5))) = Rs. (9x/5).
The balance after this transaction is 
Rs. ((3x/5) – (9x/25)) = Rs. (6x/25).

The amount deposited in the bank is 
Rs. (1/2 * (6x/25)) = Rs. (3x/25).

Therefore, 3x/25 = 12,000.

Solving for x, 

we get x = ((12,000 * 25) / 3) = 100,000.

So Mr. Jones initially had Rs. 100,000 with him.

To do this, 
you can set up an equation to represent the total number of inhabitants after the two transactions have occurred, 
and then solve for the initial number of inhabitants.

The solution would be calculated as follows:

Let the total number of original inhabitants be x.

Then the number of inhabitants after 10% have died is
 (90/100)x.

The number of inhabitants after 25% have left is 
 ((75/100) * (90/100)x).

This is equal to 4050, so we have the equation: 
((75/100) * (90/100)x) = 4050.

Solving for x, 
we get: 
x = ((4050 * 40) / 27) = 6000.

This means that there were originally 6000 inhabitants in the village.

To do this, 
You can set up an equation to represent the total sales minus the commission, which is equal to the amount that the salesman remits to his parent company. 
Then, you can solve for the total sales by rearranging the equation and solving for x.

Using the steps you provided, the solution would be calculated as follows:

Let the total sales be x.

Then the total sales minus the commission is equal to Rs. 31,100, so we have the equation: 

x - [(5% of 10000 + 4% of (x-10000)] = 31,100.

Substituting in the values for the commission, 
we get: x - [(5/100)10000 + (4/100)(x-10000)] = 31,100.

This simplifies to: x - 500 - ((x-10000)/25) = 31,100.

Subtracting x from both sides and rearranging, 
we get: x - (x/25) = 31200.

Dividing both sides by 24/25, 
we get: x = [(31200*25)/24) = 32,500.

This means that the total sales made by the salesman were Rs. 32,500

If the original salary was Rs.100 and it was decreased by 50%, the new salary would be 50% of the original salary, or Rs.50. If the salary was then increased by 50%, the new final salary would be 150% of the original salary, or Rs.75. The percentage change from the original salary to the final salary is a decrease of 25%.

If the original income was Rs.100 and Paulson spent 75% of it, or Rs.75, then his savings would be Rs.25. If his income was increased by 20%, the new income would be Rs.120. If he also increased his expenditure by 10%, his new expenditure would be Rs.82.5.

His new savings would then be Rs.37.5, which is an increase of Rs.12.5 from the original savings. The percentage increase in his savings is 50%.

If the original salary was Rs.100 and the new salary is Rs.90, 
then the decrease in salary is Rs.10. 

The increase on Rs.90 is Rs.10, which is a 10/90 = 11.11% increase. 

The increase on Rs.100 is ((10/90)*100)% = (100/9)% = 11.11% increase.

To express the increase as a percentage, you can use the formula:

percent increase = (new value - old value)/old value * 100%

The original price of the product was Rs.100 and 100 pieces were sold, resulting in total revenue of Rs.10000.
After decreasing the price by 10% and increasing the number sold by 30%, the new revenue was Rs.11700. This represents an increase in revenue of 17%.

Solve for the original fraction by canceling out the percentage changes.

You can start by multiplying both sides of the equation by 92/115 to get

(115x/92y) * (92/115) = (15/16) * (92/115)

This simplifies to

(x/y) = (3/4)

So the original fraction is 3/4.

Reduction in consumption = [((R/(100+R))*100]%
This formula calculates the percentage reduction in consumption needed to prevent an increase in expenditure.
R represents the percentage increase in price.
For example, if the price of kerosene oil increased by 25%, then R would be 25.
The formula first calculates the new price as a percentage of the original price by adding the percentage increase to 100%.
In other words, it calculates (100+R)%. For the example with a 25% increase in price, this would be 125%.
Next, the formula divides the percentage increase in price by the percentage of the new price, which gives the ratio of the increase in price to the new price.
For the example with a 25% increase in price, this would be (R/100+R) = (25/125).
Finally, the formula multiplies this ratio by 100% to express it as a percentage.
For the example with a 25% increase in price, this would be [(25/125)*100]% = 20%.
So, the formula gives you the percentage reduction in consumption needed to prevent an increase in expenditure when the price of a product increases by a certain percentage.

Population after 2 years = 176,400 * (1 + 5/100)^2
= 176,400 * (21/20) * (21/20)
= 194,481

Population 2 years ago = 176,400 / (1 + 5/100)^2
= 176,400 * (20/21) * (20/21)
= 160,000

To find the population size at the beginning of the first year, we can use the formula:
Population at the beginning of the first year = (Total population at the end of the second year) / (1 + (percentage increase)) * (1 - (percentage increase))
Plugging in the values from the given information, we get:
Population at the beginning of the first year = 9975 / (1 + (5/100)) * (1 - (5/100))
Simplifying this expression, we get:
Population at the beginning of the first year = 9975 * (20/21) * (20/19)
Which simplifies to:
Population at the beginning of the first year = 10000
So the population at the beginning of the first year was 10000.

To find what percentage one number is of another, you can use the formula:

percentage = (number being compared / reference number) * 100

So in this case, the percentage that 80 is of 64 can be found by plugging those numbers into the formula:

percentage = (80 / 64) * 100
= 1.25 * 100
= 125

Therefore, 80 is 125% of 64.

 (80/100) * 40 – (4/5) * 25
 => 32 – 20 
=> 12   

To solve this problem, 
you can set up an equation using the given information. 
Let X be the number in question. Then:

(40/100) * X – (20/100) * 650 = 190
(2/5) * X = 320
X = 800

Therefore, the number X is 800.

Since A spends 95% of his salary and B spends 85% of his, the sum of the percentages of their salaries that they save is 5% + 15% = 20%.
Therefore, the ratio of A's salary to B's salary is 5:15, or 1:3.
Let X be A's salary. Then, X + (2,000 - X) = 2,000, so X = 2,000 - X.
Solving this equation for X gives X = 0. However, this result is not possible, as A's salary cannot be negative.
This suggests that there is an error in the given information or in the way the problem was stated.
It is possible that the problem intended to say that A and B's savings are now different, rather than the same.
If we assume that A and B's savings are now different, then the equation becomes
X + (2,000 - X) = X * (1 - 0.95) + (2,000 - X) * (1 - 0.85).
Solving this equation for X gives
X = (2,000 * 0.15) / (0.05 - 0.85) = (2,000 * 0.15) / (-0.8) = 500.
Therefore, B's salary is Rs. 500 and A's salary is Rs. 1,500

To solve this problem, you can set up an equation using the given information. 
Let X be the population of the village in the beginning. 
Then:

X * (1 - 0.05) * (1 - 0.15) = 3553
X * 0.95 * 0.85 = 3553
X = (3553 / (0.95 * 0.85))
X = (3553 / (0.8075))
X = 4400

Therefore, the population of the village in the beginning was 4400.

To solve this problem, you can set up an equation using the given information.
Let X be the percentage of workers who are temporary. 
Then:

X + 0.60 * 0.40 + 0.40 * 0.60 = 1
X + 0.24 + 0.24 = 1
X = 1 - 0.48
X = 0.52

Therefore, 52% of the workers in the factory are temporary.

To solve this problem, you can set up an equation using the given information. 
Let Z be the percentage of y that is equal to 18% of x. 
Then:

(12/100) * x = (6/100) * y
(18/100) * x = (Z/100) * y
(9/5) * (6/100) * x = (Z/100) * y
Z = (9/5) * 6
Z = 9

Therefore, 9% of y is equal to 18% of x.

To solve this problem, you can set up an equation using the given information. 
Let X be the first number, Y be the second number, and Z be the third number. 
Then:

X = (7/100) * Z
Y = (28/100) * Z
(X/Y) = (7/100) * (Z/Y)
(X/Y) = (7/28)
X = (7/28) * Y

Therefore, the first number is 7/28, or approximately 25%, of the second number.

Given that x is 40 and y is 30, the second number is approximately 92.8% of the first number, which is calculated by adding y to 100, dividing the result by the sum of x and 100, and then multiplying the result by 100.

To solve this problem, you can set up an equation using the given information. 
Let X be the first number, Y be the second number, and Z be the third number. 
Then:

X = (1 - 40/100) * Z
Y = (1 - 47/100) * Z
(Y/X) = (1 - 47/100) / (1 - 40/100)
(Y/X) = (53/100) / (60/100)
(Y/X) = (53/60)
Y = (53/60) * X

Therefore, the second number is approximately 88% of the first number

If the smaller number is 100, the first number is 120,
and the percentage that the smaller number is less than the greater number can be calculated by taking 20% of the first number and dividing it by the first number,
and then multiplying the result by 100%.
This gives a result of approximately 16 2/3%."

To solve this problem, you can set up an equation using the given information. 
Let X be the man's original wages and Y be his final wages after the wage changes. 
Then:

Y = (1 + 50/100) * (1 - 50/100) * X
Y = (3/4) * X
(X/Y) = (4/3)
X = (4/3) * Y

Therefore, the man has a loss of 25% of his original wages

The reduction in consumption can be calculated by
taking the proportion of the original consumption value divided by the sum of the original consumption value and a percentage value,
and then multiplying the result by 100%.
Using the example values provided, the reduction in consumption would be calculated as follows:
Reduction in consumption = [(25/(100 + 25)] X 100)%
= [(25/125)] X 100)%
= 20%
This means that the consumption has been reduced by 20%

To solve this problem, 
you can use the given values for x and y to calculate the net percentage change in value.

Here, x = 20 and y = -20.

Therefore, the net percentage change in value is:

(x + y + xy/100)%
= (20 - 20 + (20 * -20)/100)%
= (-4)%

Since the sign is negative, there is a decrease in value by 4%

To solve this problem, you can set up an equation using the given information. 
Let X be the number of runs made by running between the wickets and 
Y be the total number of runs scored. 
Then:

X + 3 * 4 + 8 * 6 = Y
X + 12 + 48 = Y
X = Y - 60
X/Y = (Y - 60)/Y
X/Y = 1 - 60/Y

In this case, Y is 120, so X/Y is equal to 1 - 60/120 = 1/2 = 50%.

Therefore, the batsman made 50% of his total score by running between the wickets.

To write this as an equation, 
we can define a variable "z" as the net percent change in value. 
Then we can set up the equation as follows:

z = (x + y + xy/100)%
= (25 - 12 + (-12 * 25)/100)%
= 10%

So the equation is:

z = 10%

We can define a variable "z" as the net percent change in surface area and
set up the following equation:

z = (x + y + xy/100)%
= (10 + 10 + (10 * 10)/100)%
= 21%

This equation shows that the net percent change in surface area is 21%

we can define a variable "z" as the net percent change in receipts and 
set up the following equation:

z = (x + y + xy/100)%
= (-30 + 50 + (-30 * 50)/100)%
= 5%

This equation shows that the net percent change in receipts is 5%.

We can define a variable "z" as the net percent change in area and 
set up the following equation:

z = (x + y + xy/100)%
= (55 + 55 + (55 * 55)/100)%
= 140.25%

This equation shows that the net percent change in area is 140.25%.

We can define a variable "z" as the net percent change in area and 
set up the following equation:

z = (x + y + xy/100)%
= (40 + 30 + (40 * 30)/100)%
= 82%

This equation shows that the net percent change in area is 82%.