The ratio of the number of boys and girls in a college is 7 : 8. If the percentage iikcrease in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?
Correct answer: C. 21 : 22
- A. 8 : 9
- B. 17 : 18
- C. 21 : 22
- D. Cannot be determined
Explanation
Start with 7k boys and 8k girls. After the increases, the numbers are 7k x 1.20 = 8.4k and 8k x 1.10 = 8.8k; dividing both by 0.4k gives the new ratio 21:22. The likely mistake is 8:9, obtained by rounding the increased values instead of simplifying their exact ratio.
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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.
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