Question

A florist sold $17$ flowers in $5$ days. If the rate at which flowers are sold each day remains the same, how many days will it take to sell $85$ flowers?

• A. $26$
• B. $24$
• C. $25$
• D. $23$

Answer 1

The correct option is C $25$

Number of flowers sold in $5$ days $=17$
The rate at which they are sold each day remains the same.
Therefore, rate of sales $=\frac{\text{number of flowers sold}}{\text{number of days}}=\frac{17}{5}$
Let’s assume $85$ flowers are sold in $x$ days.
As the rate of sales remains the same,
$\Rightarrow 17:5::85:x$
$\Rightarrow \frac{17}{5}=\frac{85}{x}$
By cross - multiplication, we get:
$17x=5\times 85$
$\Rightarrow x=\frac{5\times 85}{17}$
$\Rightarrow x=25$
Hence, $85$ flowers will be sold in $25$ days.