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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Question : Rupu’s income is 20% more than Madhu’s income. Madhu’s income is less than Rupu’s income by:
Option 1: $17 \frac{2}{3} \%$
Option 2: 20%
Option 3: $18 \frac{2}{3} \%$
Option 4: $16 \frac{2}{3} \%$
Question : If the selling price of 318 articles is equal to the cost price of 212 articles, then what is the loss percentage?
Option 1: $20$
Option 2: $33\frac{1}{3}$
Option 3: $40$
Option 4: $33\frac{2}{3}$
Question : If Ram’s income exceeds Shyam’s income by 70% and Shyam’s income is less than Sohan’s income by 30%, then find the ratio of the incomes of Ram and Sohan.
Option 1: 119 : 100
Option 2: 121 : 102
Option 3: 120 : 101
Option 4: 118 : 99
Question : The value of $\frac{1 \frac{1}{2} \div 3 \frac{1}{4}+\frac{1}{2} \div \frac{13}{14}+\frac{1}{5}}{\frac{1}{5} \times 3 \frac{1}{2}-\frac{1}{3} \div 1 \frac{3}{4} \times 3 \frac{1}{2}}$ is:
Option 1: 33
Option 2: 36
Option 3: 38
Option 4: 40
Question : If $\sin \beta=\frac{1}{3},(\sec \beta-\tan \beta)^2$ is equal to:
Option 1: $\frac{3}{4}$
Option 2: $\frac{2}{3}$
Option 3: $\frac{1}{2}$
Option 4: $\frac{1}{3}$
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