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TGTET Paper 1 Exam 23 Jul 2017 Paper

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Question : 109 of 150
Marks: +1, -0
If 21% of a certain number is 63, then the number is ______
Solution:  
Concept:
Understanding percentages and solving for an unknown value.
Explanation:
Let's say the unknown number is xx.
The problem states that 21% of this number xx is equal to 63.
We can write this as an equation:
21% of x=6321\% \text{ of } x = 63
To convert the percentage to a fraction, we divide by 100:
21100×x=63\frac{21}{100} \times x = 63
Now, to find xx, we need to isolate it. We can do this by multiplying both sides of the equation by 10021\frac{100}{21}:
x=63×10021x = 63 \times \frac{100}{21}
We can simplify this calculation. Notice that 6363 is 3×213 \times 21. So:
x=(3×21)×10021x = (3 \times 21) \times \frac{100}{21}
The 2121 in the numerator and the 2121 in the denominator cancel out:
x=3×100x = 3 \times 100
x=300x = 300
So, the number is 300.
Answer:
300
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