If 5 men or 7 women can earn Rs. 5250 per day, how much would 7 men and 13 women earn per day ?
A. Rs. 11600
B. Rs. 11700
C. Rs. 16100
D. Rs. 17100
Answer: Option D
Solution(By Examveda Team)
Let the required earning be Rs. x5 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)
$$\eqalign{ & \therefore {\text{ }}7 : \frac{{114}}{5}::{\text{ 5}}250 : x \cr & \Leftrightarrow 7x = \left( {\frac{{114}}{5} \times 5250} \right) \cr & \Leftrightarrow 7x = 119700 \cr & \Leftrightarrow x = 17100 \cr} $$
Related Questions on Chain Rule
A. Rs. $$ {\frac{{{\text{xy}}}}{{\text{d}}}} $$
B. $${\text{Rs}}{\text{.}} {xd} $$
C. $${\text{Rs}}{\text{.}} {yd} $$
D. Rs. $$ {\frac{{{\text{yd}}}}{{\text{x}}}} $$
A. $$29\frac{1}{5}$$
B. $$37\frac{1}{4}$$
C. 42
D. 54
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