Question : What is the value of $\frac{0.1 \div 0.2 \times 0.3+0.4 \times 0.5 \div 0.1}{0.1 \times 0.2-0.01} ?$
Option 1: 220
Option 2: 210
Option 3: 216
Option 4: 215
Correct Answer: 215
Solution :
Given: $\frac{0.1 \div 0.2 \times 0.3+0.4 \times 0.5 \div 0.1}{0.1 \times 0.2-0.01}$
= $\frac{\frac{0.1}{0.2} \times 0.3+0.4 \times \frac{0.5}{0.1}}{0.1 \times 0.2-0.01}$
= $\frac{\frac{1}{2} \times 0.3+0.4 \times \frac{5}{1}}{ 0.02-0.01}$
= $\frac{\frac{0.3}{2} +2 }{0.01}$
= $\frac{4.3}{0.02}$
= 215
Hence, the correct answer is 215.
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