Percentage Practice Test Quiz: MCQ!

Explanation
P got 12% more marks than Q, which means P's score is 112% of Q's score. P also got 12.5% fewer marks than R, which means P's score is 87.5% of R's score. The difference between Q and R's score is 350. Let's assume Q's score is x, then R's score is x + 350. Therefore, P's score is 0.875(x + 350). We need to find P's score, so we substitute the value of x as P's score and solve the equation: 0.875(P + 350) = P. Solving this equation, we get P = 1400. Therefore, the score of P is 1400.

Explanation
Pawan scored 33% marks in the subject and failed by 21 marks. This means that he scored 33% of the maximum marks minus 21 marks. If he scored 55% marks, he would have got 45 marks more than the pass marks. This means that he scored 55% of the maximum marks minus the pass marks, which is equal to 45 marks. By solving these two equations, we can find that the pass marks is 150 and the maximum marks in the subject is 300.

Explanation
The weight of the first box is given as 600 kg. The weight of the second box is 25% less than the first box, which means it is 75% of the weight of the first box. Therefore, the weight of the second box is 600 kg * 75% = 450 kg. The weight of the second box is also given as 250 kg more than the weight of the fourth box. So, the weight of the fourth box is 450 kg - 250 kg = 200 kg. The weight of the third box is 27 7/9 % less than the weight of the second box, which means it is 100% - 27 7/9% = 72 2/9% of the weight of the second box. Therefore, the weight of the third box is 450 kg * 72 2/9% = 324 kg. The total weight of the third and fourth boxes is 324 kg + 200 kg = 524 kg.

Explanation
The total population of the village can be calculated by dividing the number of illiterate children by the literacy rate among children, which is 89%. So, the total population of the village is 11,165 / 0.89 = 12,555.

From the given information, we know that 39% of the residents are men and 32% are women. So, the remaining percentage of residents are children, which is 100% - 39% - 32% = 29%.

To find the number of females in the village, we can multiply the total population by the percentage of women: 12,555 * 0.32 = 4,018.4.

Since the number of residents must be a whole number, we round this value to the nearest whole number, which is 4,018.

Therefore, the number of females in the village is 4,018.

Note: The given answer of 112,000 is incorrect.

Explanation
When the base of a triangle is increased by 50%, the new base becomes 1.5 times the original base. When the perpendicular height of the triangle is decreased by 20%, the new height becomes 0.8 times the original height. The area of a triangle is calculated by multiplying the base by the height and dividing by 2. Therefore, the new area can be calculated by multiplying the new base by the new height and dividing by 2. Substituting the values, the new area is 1.5 * 0.8 = 1.2 times the original area. This represents a 20% increase in the area.

Explanation
To find out how many kilograms of fresh grapes are needed to get 20kg of raisins, we can use the concept of the water content in both fresh grapes and raisins. Since raisins contain 25% water by weight, it means that 75% of the weight is the actual fruit. Similarly, fresh grapes contain 80% water by weight, which means that 20% of the weight is the actual fruit. Therefore, to get 20kg of raisins, we need to have 20kg / 0.75 = 26.67kg of the actual fruit. Since the weight of the actual fruit is 20% of the weight of fresh grapes, we can calculate that 26.67kg is 20% of 133.33kg. Therefore, we need approximately 133.33kg of fresh grapes to get 20kg of raisins.

Explanation
Candidate A received 28% more votes than candidate B. If B received 175 votes, we can find A's votes by adding 28% of B's votes to B's votes. 28% of 175 is 49, so A received 175 + 49 = 224 votes.

Explanation
Candidate B received 225 votes, which is 100% - 28% = 72% of the total votes. Therefore, 1% of the total votes is equal to 225/72 = 3.125 votes. Multiplying this by 100 gives us the total number of votes, which is 312.5. Since the number of votes cannot be a decimal, we round it up to the nearest whole number, which is 313. Therefore, Candidate A received 313 + 28% = 313 + 87.64 = 400 votes. The total number of votes that A and B received is 400 + 225 = 625 votes.

Explanation
If A is a constant and A = B * C, then any change in B or C will result in a change in A. In this case, if B increases by 20%, it means that B becomes 1.2 times its original value. To maintain A as a constant, C needs to decrease by a certain percentage. To find this percentage, we can set up the equation A = B * C and substitute the new values. We have A = (1.2B) * (C - x), where x is the percentage decrease in C. Simplifying this equation, we get A = 1.2BC - 1.2Bx. Since A is a constant, 1.2BC - 1.2Bx must be equal to the original value of A. Therefore, 1.2BC - 1.2Bx = BC. Solving for x, we find x = 0.1666, which is equivalent to 16.66%. Therefore, if B increases by 20%, C needs to decrease by 16.66% to keep A as a constant.

Explanation
This statement is false. Two successive discounts of 10% and 20% are not equivalent to a single discount of 30%. When two discounts are applied successively, the total discount is calculated by subtracting the first discount from the original price and then subtracting the second discount from the discounted price. In this case, a 10% discount followed by a 20% discount would result in a total discount of 28%.

Explanation
If A gets 100% more than B, it means that A's amount is double the amount of B. In other words, A gets 100% of B's amount plus the original amount of B. Therefore, B gets 50% less than A because B's amount is half of A's amount.

Explanation
The ratio of A to B is given as 6:7. To find the percentage by which B is more than A, we can use the formula: (B - A)/A * 100. Plugging in the values, we get (7 - 6)/6 * 100 = 16.66%. This means that B is 16.66% more than A.

Explanation
When the length of the rectangle is decreased by 20%, it becomes 80% of its original length. Similarly, when the breadth is increased by 5%, it becomes 105% of its original breadth. The area of a rectangle is calculated by multiplying its length and breadth. So, if we let the original length be L and the original breadth be B, we can write the equation: 0.8L * 1.05B = 756. Solving this equation, we find L * B = 900, which is the area of the original rectangle.

Explanation
To find the percentage, we need to calculate the value of 20% of 16.66% of 9.09% of 25% of 1320, which is 0.2 * 0.1666 * 0.0909 * 0.25 * 1320 = 7.5. Then, we need to calculate the value of 200% of 1, which is 2. Finally, we need to find what percentage 7.5 is of 2. By dividing 7.5 by 2 and multiplying by 100, we get 375. Therefore, 7.5 is 375% of 2. However, the question asks for the opposite - what percentage 7.5 is of 2. So, the answer is 50%.

Explanation
When the length, breadth, and height of a cuboid are in the ratio 5:3:2, we can assume their values to be 5x, 3x, and 2x respectively. The volume of the cuboid is given as 100 m3, which can be calculated as (5x)(3x)(2x) = 100. Solving this equation, we find x = 2. Therefore, the dimensions of the cuboid are 10m, 6m, and 4m.

When the length and breadth are doubled and the height is halved, the new dimensions become 20m, 12m, and 2m. The new volume can be calculated as (20m)(12m)(2m) = 480m3.

Comparing the new volume (480m3) with the original volume (100m3), we can see that the volume has increased by 380m3. This increase represents a 380% increase in volume, which is equivalent to a 100% increase. Hence, the answer is 100% increase.