Finding the Unknown Number
This problem involves a percentage calculation. We need to find a specific number based on a comparison involving percentages.
Setting up the Equation
Let the unknown number be represented by '$x$'. The problem states that 20% of this number is 170 more than 20% of 620. We can write this as an equation:
$ \text{20% of } x = (\text{20% of } 620) + 170 $
Converting percentages to decimals:
$ 0.20x = (0.20 \times 620) + 170 $
Calculating the Value
First, calculate 20% of 620:
$ 0.20 \times 620 = 124 $
Now, substitute this value back into the equation:
$ 0.20x = 124 + 170 $
Simplify the right side:
$ 0.20x = 294 $
Solving for x
To find the value of '$x$', divide both sides of the equation by 0.20:
$ x = \frac{294}{0.20} $
$ x = 1470 $
Therefore, the number is 1470.
Important Questions from Percentage
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
