Question

Some chocolates were distributed among a group of 12 children and each child received 4 chocolates. If four more children joined the group later, and were given chocolates, how many chocolates less will each child in the original group receive?

• A. 3 chocolates
• B. 2 chocolates
• C. 1 chocolate
• D. 4 chocolates

Answer 1

The correct option is C 1 chocolate

The number of chocolates to be distributed is fixed. If more children join the group, the number of chocolates each child receives will reduce.

$\therefore$ This is a case of inverse proportion.
If 4 more children join the group, the chocolates will have to be distributed among 12 + 4 = 16 children.

Using the formula for inverse proportion,
$\text{Number of children}\times \text{Number of chocolates each child gets}=\text{constant}$
$\Rightarrow 12\times 4=16\times \text{Number of chocolates each child gets}$
$\therefore$ Number of chocolates each child gets = $\frac{12\times 4}{16}$
= 3 chocolates

Initially, each child received 4 chocolates. But now each child will receive only 3, that is, each child will receive 4 - 3 = 1 chocolate less.