Question 27

State whether the given statement is true (T) or false (F).

25 kg : 20 g = 50 kg : 40g

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Solution

Given, 25 kg : 20 g = 50 kg : 40 g

$\Rightarrow \frac{25 k g}{20 g} = \frac{50 k g}{40 g} \Rightarrow \frac{25000 g}{20 g} = \frac{50000 g}{40 g} [∵ 1 k g = 1000 g]$

LHS: Simplest form of $\frac{25000}{20} = \frac{1250}{1}$ [on dividing numerator and denominator by 20]

RHS: Simplest form of $\frac{50000}{40} = \frac{1250}{1}$ [on dividing numerator and denominator by 40]

Simplest form of both the ratios are equal as $\frac{1250}{1}$ = $\frac{1250}{1}$

Hence, the given statement is true.

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