Question

Dev and Ben bought $2\frac{1}{2}$ kg and $3\frac{1}{4}$ kg of sugar, respectively. If sugar costs ₹32 per kg, what is the total amount they would have to pay?​

• A. ₹156
• B. ₹132
• C. ₹164
• D. ₹184

Answer 1

The correct option is D ₹184

Converting into improper fraction: $2\frac{1}{2}=\frac{(2\times 2+1)}{2}=\frac{5}{2}$
​
Converting into improper fraction: $3\frac{1}{4}=\frac{(3\times 4+1)}{4}=\frac{13}{4}$​
​
LCM of 2 and 4 is 4. Hence,​
$\frac{5}{2}\times \frac{2}{2}=\frac{10}{4}$
​
Adding both fractions: $\frac{10}{4}+\frac{13}{4}=\frac{23}{4}$
​
Total cost of sugar $=\frac{23}{4}\times 32=23\times 8$
= ₹ 184