Question
If 5 men or 7 women can earn Rs. 5250 per day, how much would 7 men and 13 women earn per day ?
Answer: Option D
Let the required earning be Rs. x
5 men = 7 women
7 men = $$ \left( \frac{7}{5} \times 7 \right) $$ women = $$\frac{49}{5}$$ women
∴ (7 men and 13 women)
$$\eqalign{
& = \left( {\frac{{49}}{5} + 13} \right){\text{women}} \cr
& = \frac{{114}}{5}{\text{ women}} \cr} $$
Now, More women, More earning (Direct proportion)
$$\eqalign{
& \therefore {\text{ }}7 : \frac{{114}}{5}::{\text{ 5}}250 : x \cr
& \Leftrightarrow 7x = \left( {\frac{{114}}{5} \times 5250} \right) \cr
& \Leftrightarrow 7x = 119700 \cr
& \Leftrightarrow x = 17100 \cr} $$
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Let the required earning be Rs. x
5 men = 7 women
7 men = $$ \left( \frac{7}{5} \times 7 \right) $$ women = $$\frac{49}{5}$$ women
∴ (7 men and 13 women)
$$\eqalign{
& = \left( {\frac{{49}}{5} + 13} \right){\text{women}} \cr
& = \frac{{114}}{5}{\text{ women}} \cr} $$
Now, More women, More earning (Direct proportion)
$$\eqalign{
& \therefore {\text{ }}7 : \frac{{114}}{5}::{\text{ 5}}250 : x \cr
& \Leftrightarrow 7x = \left( {\frac{{114}}{5} \times 5250} \right) \cr
& \Leftrightarrow 7x = 119700 \cr
& \Leftrightarrow x = 17100 \cr} $$
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