Question 62

In questions 60 to 79, state whether the statements are True or False.
8hr is 50 % of 4 days.

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Solution

False
Let 8hr be x % of 4 days
Then, 8hr = x % of 4 days
$\Rightarrow 8 = \frac{x}{100} \times 4 \times 24 [∵ 1 d a y = 24 h \Rightarrow 4 d a y s = 4 \times 24 h] \Rightarrow \frac{8 \times 100}{4 \times 24} = x \Rightarrow x = \frac{25}{3} = 8 \frac{1}{3}$
Hence, 8 h is $8 \frac{1}{3} % o f 4 d a y s$ .

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Percentage of a Number

Standard VII Mathematics

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Question 62 In questions 60 to 79, state whether the statements are True or False. 8hr is 50 % of 4 days.

False Let 8hr be x % of 4 days Then, 8hr = x % of 4 days ⇒ 8=x100×4×24 [∵1day=24 h⇒4days=4×24h]⇒8×1004×24=x⇒x=253=813 Hence, 8 h is 813% of 4 days.

Question 62

In questions 60 to 79, state whether the statements are True or False.
8hr is 50 % of 4 days.