Which is less? Choices: (A)25% of 200 (B)40% of 210 (C)neither; they are equal

Calculate 25% of 200: Calculate 25% of 200. Reasoning: To find 25% of a number, multiply the number by 0.25. Calculation: 0.25 × 200 = 50.Calculate 40% of 210: Calculate 40% of 210. Reasoning: To find 40% of a number, multiply the number by 0.40. Calculation: 0.40 × 210 = 84.Compare Results: Compare the results of the calculations. Reasoning: Determine which value is smaller between 50 and 84. Calculation: Since 50 < 84, 25% of 200 is less than 40% of 210.

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Math Problems

Grade 8

Compare percents of numbers

Full solution

Q. Which is less?

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Choices:

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(A)

25\%

200

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(B)

40\%

210

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Calculate $25\%$ of $200$ : Calculate $25\%$ of $200$ . $\newline$ Reasoning: To find $25\%$ of a number, multiply the number by $0.25$ . $\newline$ Calculation: $0.25 \times 200 = 50$ .
Calculate $40$ % of $210$ : Calculate $40\%$ of $210$ . $\newline$ Reasoning: To find $40\%$ of a number, multiply the number by $0.40$ . $\newline$ Calculation: $0.40 \times 210 = 84$ .
Compare Results: Compare the results of the calculations. $\newline$ Reasoning: Determine which value is smaller between $50$ and $84$ . $\newline$ Calculation: Since 50 < 84, $25\%$ of $200$ is less than $40\%$ of $210$ .