Question : If 30% of Ravi’s income is equal to 40% of Suresh’s income, then 50% of Ravi’s income is equal to what percentage of Suresh’s income?
Option 1: $66 \frac{1}{3} \%$
Option 2: $33\frac{1}{3} \%$
Option 3: $33 \frac{2}{3} \%$
Option 4: $66 \frac{2}{3} \%$
Correct Answer: $66 \frac{2}{3} \%$
Solution :
Given: 30% of Ravi’s income = 40% of Suresh’s income
⇒ $\frac{\text{Ravi's income}}{\text{Suresh's income}}=\frac{40}{30}$
50% of Ravi's income = $\frac{50}{100}\times40= 20$
Required percentage = $\frac{\text{50% of Ravi's income}}{\text{suresh income}}\times100$
= $\frac{20}{30}\times100$
= $66 \frac{2}{3}\%$
Hence, the correct answer is $66 \frac{2}{3} \%$.
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