Question

Ravi bought 40 chocolates for ₹20 each. If the cost per chocolate was ₹5 more, then how many chocolates could Ravi buy for the same amount?

• A. 35 chocolates
• B. 36 chocolates
• C. 32 chocolates
• D. 30 chocolates

Answer 1

The correct option is C 32 chocolates

Given,
Ravi bought 40 chocolates for ₹20 each.

We know that if the cost per chocolate increases, then the number of chocolates bought for the same amount will be less.

$\text{So, Cost}\left(x\right)\propto \frac{1}{\text{Number of chocolates}\left(y\right)}$
$\therefore x_1\times y_1=x_2\times y_2$

Given,
$x_1=₹20$
$y_1=40\text{chocolates}$
$x_2=20+5=₹25$
$\text{and}{y}_2=\text{Number of chocolates}$
$\Rightarrow y_2=\frac{x_1\times y_1}{x_2}$
$\Rightarrow y_2=\frac{20\times 40}{25}=32\text{chocolates}$

Hence, Ravi could buy only 32 chocolates.