Maths / Direct and Inverse Variation / Time and Work

QUESTION

5 men or 6 women can earn 924 per day, how much would 10 men and 4 women earn per day ?

 OPTIONS A. 308 B. 3028 C. 2464 D. 2964
Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

According to question

5 men can earn= 924 per days

1 men can earn= $\dpi{120} \large \dpi{120} \\ \frac{924}{5}\;per\;day$

$\dpi{120} \\ 6 \;women \;can\; earn= 924 \;per\;day\\\\ 1\; women \;can\; earn=\frac{924}{6}\;per\;day$

$\dpi{120} \\ 10 \;men \;can\; earn= \frac{924}{5}\times 10 \;per\;day\\\\ 4\; women \;can\; earn=\frac{924}{6}\times 4\;per\;day\\\\ Total\; amount \;per\; day=\frac{924}{5}\times 10+\frac{924}{6}\times 4\\\\ =924\times [\frac{10}{5}+\frac{4}{6}]=924\times [2+\frac{2}{3}]=924\times \frac{8}{3}=308\times 8=2464$

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