Solving for the Unknown Number
The problem asks us to find a specific number based on a relationship involving percentages.
1. Define the Unknown
Let the unknown number be represented by the variable $x$.
2. Translate the Statement into an Equation
The statement "20% of a number is more than 20% of 620 by 210" can be written as:
$ (20\% \text{ of } x) = (20\% \text{ of } 620) + 210 $
Converting percentages to decimals:
$ 0.20x = (0.20 \times 620) + 210 $
3. Calculate the Known Percentage
First, calculate 20% of 620:
$ 0.20 \times 620 = 124 $
4. Simplify the Equation
Substitute the calculated value back into the equation:
$ 0.20x = 124 + 210 $
$ 0.20x = 334 $
5. Solve for the Number ($x$)
To find $x$, divide both sides by 0.20:
$ x = \frac{334}{0.20} $
Since $0.20 = \frac{20}{100} = \frac{1}{5}$, dividing by 0.20 is the same as multiplying by 5:
$ x = 334 \times 5 $
$ x = 1670 $
6. Conclusion
The number is 1670.
Important Questions from Percentage (Notes)
In an election between two candidates, a candidate who got $30\%$ of the total votes is defeated by $15000$ votes. The number of votes obtained by the winning candidate is:-
- Which of the following multipliers will increase a given number by 25.3 % ?
If A earns \(33\frac{1}{3}%\) more than B, then how much percent does B earn less than A?
- दो उम्मीदवारों के बीच एक कॉलेज चुनाव में, एक उम्मीदवार को कुल वैध मतों में से $55\%$ वोट मिले । $15\%$ वोट अवैध थे । यदि कुल वोट $15,200$ थे, तो दूसरे उम्मीदवार को कितने वैध वोट मिले ?
- एक शहर की जनसंख्या एक दशक में $1,75,000$ से बढ़कर $2,62,500$ हो गई । प्रति वर्ष जनसंख्या में औसत प्रतिशत वृद्धि है
