Question

$3$ persons weave $168$ shawls in $14$ days, how many shawls will 8 people weave in $5$ days?

• A. $90$
• B. $105$
• C. $115$
• D. $160$

Answer 1

The correct option is D $160$

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Set the proportion for number of persons with the number of shawls. Both the quantities are in direct ratio.

Here, we are asked to find out the number of shawls, we compare each item with the number of shawls as shown below :
More number of persons $\Rightarrow$ More shawls
Less number of persons $\Rightarrow$ Less shawls
i.e. the relationship is direct.
Also, More number of days $\Rightarrow$ More shawls
Less number of days $\Rightarrow$ Less shawls
i.e. the relationship is direct.
Persons 3 : 8 : : 168 : x
Days 14 : 5

$\therefore \frac{3}{8}\times \frac{14}{5}=\frac{168}{x}$

$\therefore 3\times 14\times x=168\times 8\times 5$

$\Rightarrow x=\frac{168\times 8\times 5}{3\times 14}=160shawls$

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