50 people consume 350 kg of rice in 30 days. In how many days will 35 people consume 50 kg of rice ?
A. 2 days
B. 3 days
C. 5 days
D. 7 days
E. None of these
Answer: Option E
Solution(By Examveda Team)
Let the required number of days be xLess people, More days (Indirect proportion)
Less quantity, Less days ( Direct proportion)
\[\left. \begin{gathered} \,\,\,\,\,\,\,{\text{People 35}}:50 \hfill \\ {\text{Quantity 350}}:50 \hfill \\ \end{gathered} \right\}::30:x\]
$$\eqalign{ & \therefore {\text{ }}35 \times 350 \times x = 50 \times 50 \times 30 \cr & \Leftrightarrow x = \frac{{\left( {50 \times 50 \times 30} \right)}}{{\left( {35 \times 350} \right)}} \cr & \Leftrightarrow x = \frac{{300}}{{49}} \cr & \Leftrightarrow x = 6\frac{6}{{49}} \cr} $$
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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