Question

Sam, Peter and Roy are given 104 chocolates. If they decide to share their sweets in the ratio 10: 9 : 7, how many chocolates would Sam, Peter and Roy get respectively?

• A. 40, 60 and 4
• B. 100, 2 and 2
• C. 36, 40 and 28
• D. 40, 36 and 28

Answer 1

The correct option is D 40, 36 and 28

We have to divide 104 chocolates among Sam, Peter and Roy in the ratio 10 : 9 : 7.
This means that Sam, Peter and Roy get $(\frac{10}{10+9+7}{)}^{\text{th}}$= $(\frac{10}{26}{)}^{\text{th}}$, $(\frac{9}{26}{)}^{\text{th}}$ and $(\frac{7}{26}{)}^{\text{th}}$ of the total respectively.
i.e., Sam's share = $(\frac{10}{26}{)}^{\text{th}}\times 104=40sweets$,
Peter's share = $(\frac{9}{26}{)}^{\text{th}}\times 104=36sweets$
Roy's share = $(\frac{7}{26}{)}^{\text{th}}\times 104=28sweets$