Question : Z is increased successively by $11 \frac{1}{9}$% and 10% to get R. If R = 165, then what is the value of Z?
Option 1: 145
Option 2: 115
Option 3: 125
Option 4: 135
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Correct Answer: 135
Solution : Increase = $11 \frac{1}{9}$% and 10% Net increase = $\frac{100}{9} + 10 + \frac{100}{9}×\frac{10}{100}$ = $\frac{200}{9}$% R = 165 So, Z + $\frac{200}{9}$% of Z = 165 ⇒ $\frac{11}{9}$ × Z = 165 ⇒ Z = $\frac{165×9}{11}$ = 15 × 9 = 135 Hence, the correct answer is 135.
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Question : If $\frac{P}{2}=\frac{Q}{5}=\frac{R}{6}$, then what is the value of $P^2:(P+Q)^2:(Q+R)^2$?
Option 1: 10 : 56 : 169
Option 2: 4 : 49 : 121
Option 3: 9 : 64 : 144
Option 4: 16 : 10 : 125
Question : If the altitude of a triangle is increased by 10% while its area remains the same, its corresponding base will have to be decreased by:
Option 1: $10\%$
Option 2: $9\%$
Option 3: $9\frac{1}{11}\%$
Option 4: $11\frac{1}{9}\%$
Question : If profit is $\frac{1}{11}$th of the selling price, what is the profit percentage?
Option 1: $9\frac{1}{11}\%$
Option 2: $10\%$
Option 3: $8\frac{1}{3}\%$
Question : If $A=\frac{2}{3} \div \frac{4}{9}, B=\frac{6}{11} \times\frac{33}{12}$ and $C=\frac{1}{3} \times \frac{9}{2}$, then what is the value of $A \times B-C$?
Option 1: $\frac{3}{8}$
Option 2: $\frac{3}{2}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{3}{16}$
Question : What is the value of $\frac{28}{21} \times \frac{96}{4} \div \frac{125}{5} \times \frac{42}{192}+\frac{297}{125} \times \frac{875}{3} \div \frac{99}{4} \times \frac{6}{25}?$
Option 1: $11$
Option 2: $\frac{9}{25}$
Option 3: $\frac{7}{25}$
Option 4: $7$
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