Question

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

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

Answer 1

The correct option is D $160$

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