Question 110

Two persons A and B are paid a total of ₹2,040 per week by their employer. If B is paid 140 per cent of the sum paid to A, then how muchis A paid per week?

Solution

Let the amount paid to A per week = $$x$$

according to question,

amount paid to B per week B = 140 % of$$ x $$= $$  \dfrac{140}{100} x $$

total amount  =  $$ x$$ +$$ \dfrac{140}{100}x $$

Now, taking LCM,

$$ \dfrac{100}{100}x +\dfrac{140}{100}x = 2040$$

$$\Rightarrow \dfrac {100 x +140 x} {100} = 2040$$ (making same denominater)

$$\Rightarrow 240x = 2040 x 100$$

$$\Rightarrow x=\dfrac{ 2040 \times 100} {240} $$

$$\Rightarrow x = 850$$ Ans


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