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प्रश्न
Solve the following.
Of the 5675 people in a village 5448 are literate. What is the percentage of literacy in the village?
योग
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उत्तर
Total number of people in a village = 5675
Number of literate people in a village = 5448
∴ Percentage of literacy in the village = `5448/5675 xx 100`
5675 ends with 75, which is easy to divide by 25
5675 ÷ 25 = 227
`5448/5675 = 5448/25 xx 227`
100 = 25 × 4 ... [100 can be written as]
= `5448/5675 xx 100`
= `5448/(25 xx 227) xx 25 xx 4`
The 25 in the denominator and the numerator cancels out!
`5448/227 xx 4`
Divide 5448 by 227 by long division
227 × 20 = 4540
227 × 24 = 227 × 20 (4540) + 227 × 4 (908) = 5448
`5448/227 xx 24`
24 × 4 = 96
Thus, the percentage of literacy rate in the village is 96%.
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