Question

The cost price of $20$ articles is the same as the selling price of X articles. If the profit is $25$%, then the value of X is :

• A. $Rs.15$
• B. $Rs.16$
• C. $Rs.18$
• D. $Rs.25$

Answer 1

Answer: (B)

$Rs.16$

Let the Cost price for one article be $CP$

The Cost price of $20$ articles is $20CP$

The Selling price be $SP$

The Selling price is $X\times SP$

According to the question

$20CP=X\times SP\cdots \left(1\right)$

The profit is $25\%$

$⟹$ Profit is $\frac{25}{100}\times CP=\frac{CP}{4}$

$⟹SP-CP=\frac{CP}{4}$

$4SP-4CP=CP$

$4SP=5CP\cdots \left(2\right)$

Dividing $\left(1\right)$ with $\left(2\right)$

$\dfrac{20CP}{5CP}=\dfrac{X\times SP}{4SP}

$⟹4=\frac{X}{4}$

$⟹X=16$