Question : A's salary was decreased by 50% and subsequently increased by 50%. How much percent does he lose?
Option 1: $25\%$
Option 2: $50\%$
Option 3: $12\frac{1}{2}\%$
Option 4: $\text{No loss}$
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Correct Answer: $25\%$
Solution : Given: The salary of A was decreased by 50% and subsequently increased by 50%. Let the salary of A be 100 units. Salary was decreased by 50%, decreased salary = 100 –100 × $\frac{50}{100}$ = 50 units Then, the salary was increased by 50%, increased salary = 50 + 50 × $\frac{50}{100}$ = 75 units So, the final salary = 75 units $\therefore$ Loss percentage $=\frac{\text{difference}}{\text{initial value}} × 100= \frac{(100–75)}{100}× 100 = 25\%$ Hence, the correct answer is 25%.
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Question : A's salary is 50% more than that of B. Then B's salary is less than that of A by:
Option 1: $50$%
Option 2: $33\frac{1}{3}$%
Option 3: $33\frac{1}{4}$%
Option 4: $44\frac{1}{4}$%
Question : If A's salary is 40% less than that of B, how much percent is B's salary more than that of A?
Option 1: $33\frac{1}{3}\%$
Option 2: $66\frac{2}{3}\%$
Option 3: $33\frac{2}{3}\%$
Option 4: $66\frac{1}{3}\%$
Question : Three years ago, Raman’s salary was INR 45,000. His salary is increased by 10 percent, A percent and 20 percent in the first, second and third year respectively. Raman's present salary is INR 83,160. What is the value of A?
Option 1: 50
Option 2: 30
Option 3: 54
Option 4: 40
Question : By selling a watch for INR 2,000, a shopkeeper loses 20%. How much would he gain or lose by selling it for INR 3,000?
Option 1: 20% gain
Option 2: 25% gain
Option 3: 15% loss
Option 4: 25% loss
Question : If the radius of a right circular cylinder open at both ends is decreased by 25% and the height of the cylinder is increased by 25%, the curved surface area of the cylinder thus formed:
Option 1: remains unaltered
Option 2: is increased by $25\%$
Option 3: is increased by $6.25\%$
Option 4: is decreased by $6.25\%$
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