Question

Prajakta has a certain number of chocolates; she gave one-third of the chocolates to her brother Arjun, one-sixth to her friend Preeti. She was then left with 30 chocolates. What is the sum of the number of chocolates that she gave to Arjun and Preeti?

• A. 10
• B. 20
• C. 30
• D. 60

Answer 1

The correct option is C 30

Suppose, Prajakta has ‘c’ number of chocolates.

Number of chocolates Arjun gets = one-third of the chocolates i.e. $\frac{c}{3}$

Number of chocolates Preeti gets = one-sixth of the chocolates i.e. $\frac{c}{6}$
Remaining chocolates = 30
From the given data, we get,
Number of chocolates Prajakta has = Number of chocolates Arjun gets + Number of chocolates Preeti gets + Remaining chocolates
$c=\frac{c}{3}+\frac{c}{6}+30$
$c=\frac{c}{2}+30$
$\frac{c}{2}=30\therefore c=60$
Sum of number of chocolates Arjun and Preeti gets $=\frac{c}{3}+\frac{c}{6}=\frac{60}{3}+\frac{60}{6}=30$