Question 23

State whether the given statements are true (T) or false (F).

20 g : 100 g = 1m : 500 cm

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Solution

Given, $20 g : 100 g = 1 m : 500 c m \Rightarrow \frac{20}{100} = \frac{100}{500}$ [ $∵ 1 m = 100 c m$ ]
Simplest form of $\frac{20}{100} = \frac{1}{5}$ [on dividing numerator and denominator by 20]
Simplest form of $\frac{100}{500} = \frac{1}{5}$ [on dividing numerator and denominator by 100]
Simplest form of both the ratios are equal as $\frac{1}{5} = \frac{1}{5}$ .

Hence, the given statement is true.

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