Percentages MCQ Quiz in தமிழ் - Objective Question with Answer for Percentages - இலவச PDF ஐப் பதிவிறக்கவும்

The gadget's price is initially marked up by \(300\%\) making it \(400\%\) of its cost (\(100\%\) + \(300\%\)). The \(85\%\) reduction is then applied to this price, resulting in \(400 \times (1 - 0.85) = 400 \times 0.15 = 60\). Thus, the final price is \(60\%\) of the original cost. Therefore, the correct answer is \(60\%\).

To find the car's value after 4 years, calculate the annual depreciation using the formula \(Value = Initial \times (1 - Rate)^n\). The rate is 10%, so \(1 - 0.10 = 0.90\). Calculate \(25,000 \times 0.90^4\). First, \(0.90^4\) is approximately 0.6561. Then, \(25,000 \times 0.6561 = 16,402.5\). Rounding gives us a value of $16,405. Therefore, option 1 is correct. Option 2 assumes a lower depreciation rate, option 3 assumes a 20% depreciation, and option 4 assumes only one year of depreciation.

Initially, the population is \(b\). A \(30\%\) reduction each hour means after the first hour, the population is \(0.70b\). After the second hour, it becomes \(0.70 \times 0.70b = 0.49b\). Then, an increase of \(10\%\) means the population is \(0.49b + 0.10 \times 0.49b = 0.49b + 0.049b = 0.539b\). Thus, \(0.539b\) is \(53.9\%\) of the original population, which is approximately \(54\%\).

First, since \(y\) is \(25\%\) less than \(z\), \(y = 0.75z\).

Next, since \(x\) is \(50\%\) more than \(y\), \(x = y + 0.50y = 1.5y\).

Substituting \(y = 0.75z\) into the equation for \(x\), we get \(x = 1.5(0.75z) = 1.125z\).

Therefore, \(x\) is \(1.125z\).

To find the maximum allowable weight of the additive, calculate 0.004% of 800 grams. Convert the percentage to a decimal: \(0.004\% = 0.00004\). Multiply by the total weight: \(800 \times 0.00004 = 0.032\) grams. Therefore, the correct answer is 0.032 grams. Option 1 is incorrect as it miscalculates the percentage. Option 3 overestimates the result. Option 4 is incorrect due to an error in the decimal conversion.

To find the percentage of students who are on the basketball team, calculate 25% of the 70% who participate in sports: \(0.25 \times 0.70 = 0.175\). Therefore, 17.5% of the students are on the basketball team. The correct answer is 17.5%. Incorrect answers may result from errors such as not multiplying the percentages or misinterpreting the percentage calculation.

To calculate a 65% increase in a number \(x\), we start by understanding that an increase of 65% means adding 65% of the original number to itself. The expression for this is \((1 + 0.65)x\). Simplifying this, we get \(1.65x\). Thus, the correct expression is \(1.65x\).

Option 1 is correct as it represents a 65% increase.

To find the new price after a 75% increase, we add 75% of the original price \(p\) to itself. This is expressed as \((1 + 0.75)p\) or \(1.75p\).

Option 2 is correct because \(1.75p\) reflects the new price after the increase.

Option 1, \(0.75p\), represents 75% of the original price, indicating a reduction to 25% of the original.

Option 3, \(75p\), implies an increase of 7400%, which is incorrect.

Option 4, \(0.25p\), suggests a decrease to 25% of the original price. Therefore, the correct answer is Option 2.

Consider the original price of the smartphone as \( x \). After a 50% increase, the price at the end of 2020 is \( x + 0.5x = 1.5x \). A subsequent 30% decrease results in \( 1.5x - 0.3(1.5x) = 1.5x - 0.45x = 1.05x \). The net change from 2019 to 2021 is \( \frac{1.05x - x}{x} \times 100 = 5% \). Therefore, the correct answer is 5%.

Assume the car's initial value in 2018 is \( x \). After a 60% increase, the value at the end of 2019 becomes \( x + 0.6x = 1.6x \). Then, a 10% decrease in 2020 results in \( 1.6x - 0.1(1.6x) = 1.6x - 0.16x = 1.44x \). The overall percentage change from 2018 to 2020 is \( \frac{1.44x - x}{x} \times 100 = 44% \). Hence, the correct answer is 44.4% because of rounding considerations.