To calculate the percentage profit, we first need to find the profit amount by subtracting the cost price from the selling price. Then, we divide the profit by the cost price and multiply by 100 to express it as a percentage.
Profit is the difference between the Selling Price and the Cost Price.
\[ \text{Profit} = \text{SP} - \text{CP} \]\[ \text{Profit} = \text{₹}7,80,000 - \text{₹}6,50,000 \]\[ \text{Profit} = \text{₹}1,30,000 \]Percentage Profit is calculated using the formula:
\[ \text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100\% \]\[ \text{Percentage Profit} = \left( \frac{\text{₹}1,30,000}{\text{₹}6,50,000} \right) \times 100\% \]\[ \text{Percentage Profit} = \left( \frac{13}{65} \right) \times 100\% \]\[ \text{Percentage Profit} = \left( \frac{1}{5} \right) \times 100\% \]\[ \text{Percentage Profit} = 0.2 \times 100\% \]\[ \text{Percentage Profit} = 20\% \]A) 20% is the correct percentage profit Richa made on the car.
To find the compound interest when interest is compounded quarterly, we need to adjust the annual interest rate and the time period. The annual rate is divided by 4, and the number of years (or fractions of a year) is multiplied by 4 to get the number of compounding periods. Then, we use the compound interest formula.
Since the interest is compounded quarterly, the annual rate needs to be divided by 4.
\[ \text{Quarterly Rate } (r) = \frac{\text{Annual Rate}}{4} = \frac{12\%}{4} = 3\% \]6 months is half a year. Since there are 4 quarters in a year, for 6 months, there will be \(2\) quarters.
\[ \text{Number of Compounding Periods } (n) = \text{Time in years} \times 4 = \frac{6}{12} \times 4 = \frac{1}{2} \times 4 = 2 \]The formula for the amount with compound interest is:
\[ A = P \left(1 + \frac{r}{100}\right)^n \]\[ A = 1200 \left(1 + \frac{3}{100}\right)^2 \]\[ A = 1200 \left(1 + 0.03\right)^2 \]\[ A = 1200 \left(1.03\right)^2 \]\[ A = 1200 \times 1.0609 \]\[ A = 1273.08 \]Compound Interest is the Amount minus the Principal.
\[ \text{CI} = A - P \]\[ \text{CI} = 1273.08 - 1200 \]\[ \text{CI} = \text{₹}73.08 \]C) ₹73.08 is the correct compound interest calculated by adjusting the rate and time for quarterly compounding.
The question asks to identify the founder of the Asiatic Society of Bengal, which was established in 1784 AD and marked the beginning of archaeology-related work in India by Europeans. This requires knowledge of key figures in the history of Indology and archaeology in British India.
Correct Option: A) William Jones
Sir William Jones, a British philologist, orientalist, and judge, founded the Asiatic Society of Bengal in Calcutta (now Kolkata) in 1784. The society was dedicated to Oriental studies and played a pivotal role in the early European understanding of Indian history, culture, and languages, including the decipherment of ancient scripts and the translation of Sanskrit texts.
The problem asks us to calculate the total volume of blood Rakesh donates over a period of 6 years, given his donation frequency and volume per donation. We need to first determine the number of donations in 6 years and then multiply it by the volume per donation. Finally, convert the total volume from milliliters to liters.
A) 1.32 L is the correct answer, as calculated above.
The question asks for the location of Devi Ahilya Bai Holkar Airport. This is a factual question requiring knowledge of major airports in India and their respective cities.
Correct Option: A) Indore is the correct location for Devi Ahilya Bai Holkar Airport. It is an international airport serving Indore and is named after Ahilyabai Holkar of the Maratha Empire.
Find the area of an equilateral triangle with side 12 cm.
32\(\sqrt{3}\) cm²
30\(\sqrt{3}\) cm²
34\(\sqrt{3}\) cm²
36\(\sqrt{3}\) cm²
To find the area of an equilateral triangle, we can use the standard formula which relates the area to the length of its side. An equilateral triangle has all three sides equal in length and all three angles equal to \(60^\circ\).
Correct Option: D) \(36\sqrt{3}\) cm²
If the numbers from 1 to 26 that are divisible by 2 are arranged in descending order, which number will be at the 9th place from the bottom?
To solve this problem, we first need to identify all the numbers between 1 and 26 (inclusive) that are divisible by 2. Then, we arrange these numbers in descending order. Finally, we count from the bottom of this descending list to find the number at the 9th position.
Alternatively, we can find the total count of numbers and then determine the position from the top.
Correct Option: A) 18 is the 9th number from the bottom when the numbers divisible by 2 between 1 and 26 are arranged in descending order.
The area of a square is 289 cm². Find the length of its diagonal.
17\(\sqrt{2}\) cm
19\(\sqrt{2}\) cm
15\(\sqrt{2}\) cm
13\(\sqrt{2}\) cm
To find the length of the diagonal of a square, we first need to determine the side length of the square. We can do this using the given area. Once the side length is known, we can use the Pythagorean theorem or the direct formula for the diagonal of a square to calculate its length.
The area of a square is given by the formula:
\[ \text{Area} = (\text{side})^2 \]Given the area is \(289 \text{ cm}^2\):
\[ 289 = (\text{side})^2 \]To find the side, take the square root of the area:
\[ \text{side} = \sqrt{289} \]We know that \(17 \times 17 = 289\), so:
\[ \text{side} = 17 \text{ cm} \]For a square with side length \(a\), the diagonal \(d\) can be found using the Pythagorean theorem (since the diagonal forms a right-angled triangle with two sides of the square) or by the direct formula:
\[ d = a\sqrt{2} \]Substitute the side length \(a = 17 \text{ cm}\) into the formula:
\[ d = 17\sqrt{2} \text{ cm} \]A) \(17\sqrt{2}\) cm is the correct answer, as calculated above.
To solve this problem, we need to identify the individuals proficient in each subject mentioned and then find the person who is common to History, Science, and Sanskrit. We can do this by listing the subjects each person is good at and then comparing the lists.
Correct Option: C) Kundan is good in History (from "Rohan and Kundan are good in History and Sanskrit"), Science (from "Gopal and Kundan are good in Science and Sanskrit"), and Sanskrit (from "Rohan and Kundan are good in History and Sanskrit" and "Gopal and Kundan are good in Science and Sanskrit"). Therefore, Kundan is good in all three subjects.
The question asks for the formation details (location and year) of SAARC. This requires knowledge of international organizations and their historical context, which is a common topic in general awareness sections of competitive exams.
Correct Option: B) SAARC was formed in Dhaka, Bangladesh, in 1985. The first SAARC Summit was held in Dhaka on December 7-8, 1985, where the Charter was adopted.