To solve this problem, we first need to find the cost price of one lemon. Then, we calculate the cost price of a dozen lemons. Finally, we apply the desired profit percentage to find the selling price of a dozen lemons.
Pankaj buys 10 lemons for Rs. 80.
\[ \text{CP of 1 lemon} = \frac{\text{Total Cost}}{\text{Number of lemons}} = \frac{80}{10} = \text{Rs. } 8 \]A dozen means 12 items.
\[ \text{CP of 1 dozen lemons} = 12 \times \text{CP of 1 lemon} = 12 \times 8 = \text{Rs. } 96 \]The desired profit is 25%.
\[ \text{Profit} = 25\% \text{ of CP} = \frac{25}{100} \times 96 = \frac{1}{4} \times 96 = \text{Rs. } 24 \]Alternatively, the Selling Price can be calculated directly:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \] \[ \text{SP} = 96 \times \left(1 + \frac{25}{100}\right) = 96 \times \left(1 + \frac{1}{4}\right) = 96 \times \frac{5}{4} \] \[ \text{SP} = 24 \times 5 = \text{Rs. } 120 \]So, he should sell a dozen lemons for Rs. 120 to make a profit of 25%.
Correct Option: B) Rs. 120
Richard's car runs 25 kms in one litre of petrol. If petrol costs Rs. 75/litre, then how many kilometers can Richard's car go on Rs. 1,500 of petrol?
To solve this problem, we need to determine the total quantity of petrol Richard can buy with Rs. 1,500, given the cost per litre. Once we know the total litres of petrol, we can calculate the total distance the car can travel using its mileage (kilometers per litre).
Given the total amount of money Richard has is Rs. 1,500 and the cost of petrol is Rs. 75 per litre.
\[ \text{Total Litres of Petrol} = \frac{\text{Total Money}}{\text{Cost per Litre}} \]\[ \text{Total Litres of Petrol} = \frac{1500 \text{ Rs.}}{75 \text{ Rs./litre}} \]\[ \text{Total Litres of Petrol} = 20 \text{ litres} \]Given that Richard's car runs 25 km in one litre of petrol (mileage).
\[ \text{Total Distance} = \text{Total Litres of Petrol} \times \text{Mileage} \]\[ \text{Total Distance} = 20 \text{ litres} \times 25 \text{ km/litre} \]\[ \text{Total Distance} = 500 \text{ km} \]Therefore, Richard's car can go 500 km on Rs. 1,500 worth of petrol.
Correct Option: A) 500 km
This problem involves calculating the displacement from a starting point after a series of movements. Since the movements are at right angles to each other, we can use the Pythagorean theorem to find the straight-line distance from the starting position.
B) 29.00 km is the correct answer. The straight-line distance from the starting position is 29 km, calculated using the Pythagorean theorem.
To determine the best transaction in terms of percentage profit, we need to calculate the percentage profit for each given option. The percentage profit is calculated using the formula:
\[ \text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \% \]We will apply this formula to each option and then compare the results to find the highest percentage profit.
Cost Price = 60, Profit = 32
\[ \text{Percentage Profit}_A = \left( \frac{32}{60} \right) \times 100 \% \]\[ \text{Percentage Profit}_A = \left( \frac{8}{15} \right) \times 100 \% \]\[ \text{Percentage Profit}_A \approx 53.33 \% \]Cost Price = 80, Profit = 44
\[ \text{Percentage Profit}_B = \left( \frac{44}{80} \right) \times 100 \% \]\[ \text{Percentage Profit}_B = \left( \frac{11}{20} \right) \times 100 \% \]\[ \text{Percentage Profit}_B = 55 \% \]Cost Price = 50, Profit = 26
\[ \text{Percentage Profit}_C = \left( \frac{26}{50} \right) \times 100 \% \]\[ \text{Percentage Profit}_C = \left( \frac{13}{25} \right) \times 100 \% \]\[ \text{Percentage Profit}_C = 52 \% \]Cost Price = 70, Profit = 40
\[ \text{Percentage Profit}_D = \left( \frac{40}{70} \right) \times 100 \% \]\[ \text{Percentage Profit}_D = \left( \frac{4}{7} \right) \times 100 \% \]\[ \text{Percentage Profit}_D \approx 57.14 \% \]Comparing these values, Option D has the highest percentage profit.
D) Cost Price = 70, Profit = 40. This transaction yields approximately \(57.14 \%\) profit, which is the highest among all options.
This is a blood relation problem. We need to break down the statement made by Moiz step-by-step, starting from the end of the statement and working backward to identify the relationship between the man in the photo and Moiz.
The statement is: "That man is my mother's only daughter-in-law's son's maternal grandfather's only son."
Let's break it down from the end:
"my mother's only daughter-in-law": Moiz's mother's only daughter-in-law means Moiz's wife (since Moiz has no other sibling other than a sister, his mother would only have one daughter-in-law through Moiz).
"Moiz's wife's son": This refers to Moiz's son.
"Moiz's son's maternal grandfather": The maternal grandfather of Moiz's son would be Moiz's wife's father.
"Moiz's wife's father's only son": This person is Moiz's wife's brother.
Therefore, the man in the photo is Moiz's wife's brother.
A wife's brother is known as a brother-in-law.
D) Brother-in-law — The step-by-step analysis clearly shows that the man in the photo is Moiz's wife's brother, who is Moiz's brother-in-law.
A) Maternal uncle — A maternal uncle is the brother of one's mother. This does not fit the derived relationship.
B) Grandfather — A grandfather is the father of one's mother or father. This does not fit the derived relationship.
C) Paternal Uncle — A paternal uncle is the brother of one's father. This does not fit the derived relationship.
SubQuestion No: 1
In which of the following options, the first person is sitting to the immediate right of the second person?
Priya, Sahil
Aarti, Priya
Sita, Sameer
Sahil, Anil
This problem requires us to deduce the seating arrangement of eight friends around a circular table based on the given clues. We need to identify the positions of each person and their relationships to answer the question about who is sitting to the immediate right of whom.
Correct Option: D) Sahil, Anil
SubQuestion No: 2
Who is Rita's husband?
The question asks to identify Rita's husband based on a provided family tree or relationship diagram. We need to trace the relationships given in the diagram to find the correct answer.
Correct Option: A) Anil is directly connected to Rita as her spouse in the diagram.
SubQuestion No: 3
Which of the following is TRUE?
Sahil is directly across the table from Aarti
Sameer is the only one sitting between Aarti and Anil
Sahil is second to the left of Aarti
Sita is sitting third to the left of Biswas
The question asks for the minimum age requirement to be elected as the President of India. This is a direct factual question based on the qualifications for the President as laid down in the Indian Constitution.
D) Completed the age of 35 years
Article 58(1)(b) of the Constitution of India explicitly states that a person shall not be eligible for election as President unless he has completed the age of thirty-five years.
The question asks to identify the process used in water purification among the given options. We need to understand the basic principles of each option and determine which one is applied for purifying water, specifically for removing impurities and dissolved salts.
Correct Option: C) Reverse Osmosis is a widely used and effective method for water purification, especially for removing dissolved salts and other impurities from water.