Question

The cost of a $p$ articles is ₹546. If a sum of ₹1,638 is spent to buy these articles, then how many more articles one can buy?

• A. $p$
• B. $2p$
• C. $3p$
• D. $4p$

Answer 1

The correct option is B $2p$

Given, ₹546 is the cost of $p$ articles.

We know that, the higher the sum spent, the number of articles one can buy is more.

$\text{So, Sum spent}\left(x\right)\propto \text{Number of articles}\left(y\right)$
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=546$
$y_1=p$
$x_2=1638$
$\text{and,}{y}_2=\text{Number of articles}$
$\Rightarrow \frac{546}{p}=\frac{1638}{y_2}$
$\Rightarrow y_2=\frac{1638\times p}{546}=3p$

So, the number of articles bought for ₹1,638 is 3 times the number of article that was bought for ₹546.
i.e., $3p-p=2p\text{more articles}$