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Two types of wheat costing ₹45 per kg and ₹65 per kg are blended in a ratio such that the final mixture is sold at ₹72 per kg with a 20% profit. What...
A company has two machines: Machine A and Machine B. Machine A was bought for 75,000, and Machine B for 50,000. If the value of Machine A depreciates by 20...
A company produces two types of gadgets, Type X and Type Y. How many total gadgets does the company produce in a month? Statements: I: The production ra...
A manufacturing firm produces three products: P, Q, and R. What is the total revenue generated from these products in a month? Statements: I: The firm s...
In a class of 80 students, 75% of the students passed in Mathematics, and 85% passed in English. If 60% of the students passed in both subjects, how many s...
The average number of boys in three classes is 8 more than the average number of girls in the same three classes. The total number of girls in all the thre...
A manufacturer sells an article to a wholesaler at a profit of 20%. The wholesaler sells it to a retailer at a profit of 25%, and the retailer sells it to ...
The compound interest on a sum of money for 3 years is 7,280. The sum amounts to 17,280 in 3 years. What is the rate of interest compounded annually?
3.5% of 350 + x ² = 38× 13 + 94.25, find x
A man allocates 12%, 18%, and 20% of his salary to his three children, P, Q, and R, respectively. The children spend 50%, 60%, and 56% of their received am...
In a school, Class 10 is divided into two sections. Section A has 100/3% of the total students, while the rest are in Section B. If 15 students from Sect...
A sum of Rs. 4,000 becomes Rs. 6,912 in 3 years at a certain rate of interest compounded annually. What is the rate of interest?
The sum of two numbers is 3572. When the larger number is divided by the smaller number, the quotient is 119, and the remainder is 6. Find the larger numbe...
Simplify the given expression: 6 × 6 ÷ 6 of 6 × 60% of 600
The average height of a basketball team consisting of 18 players is 185 cm. If the height of the coach and the assistant coach is included, the average hei...
A milk seller assures that he sells at cost price but delivers 900 ml of a mixture that contains 180 ml of water. What percentage profit does he make, know...
Two workers, 'X' and 'Y', can complete a task on their own in 18 days and 30 days, respectively. If they work on alternate days, beginning with 'X', how ma...
A metal sphere of radius 7.35 cm is melted and cast into a cylinder of height 12 cm. Find the curved surface area of the cylinder....
In a 1000 metres race, 'P' beats 'Q' by 150 metres, while 'Q' beats 'R' by 100 metres. Find the distance by which 'P' beats 'R' in the same race....
In an election between two candidates, the winning candidate secured 25% more votes than the losing candidate. If the winner received 125 more votes than t...
A car covers a distance of 760 kilometres in 9.5 hours. Determine the speed of the car.
A merchant faces a loss of 18% when selling a product for Rs. 656.20. Determine the cost price of the product.
Solve the equation: sin x = 1/2, 0 ≤ x ≤ 2π
The following table shows the monthly rainfall in a city for the first six months of the year: What is the percentage increase in rainfall from January ...
A car travels 300 km at a speed of 60 km/h and another 200 km at a speed of 80 km/h. Find the approximate average speed of the car for the entire journey.
A ladder leaning against a wall makes an angle of 60° with the ground. If the ladder is 10 meters long, how high up the wall does it reach?
A sphere has a volume of 288π cubic units. What is the diameter of the sphere?
The vertices of a triangle are (2, 1), (5, 4), and (8, 1). What is the area of the triangle?
A car travels from city A to city B at a speed of 60 miles per hour and returns to city A at a speed of 40 miles per hour. If the total round trip takes 5 ...
A shopkeeper marks a product at 20% above the cost price. He then offers a discount of 15% on the marked price. If he still makes a profit of ₹200, what ...
A container has a mixture of two liquids, A and B, in the ratio of 5:3. If 16 liters of the mixture are removed and replaced with 16 liters of liquid B, th...
A merchant has two types of sugar. Type A costs 50 per kg, and Type B costs 70 per kg. In what ratio should the two types be mixed to get a mixture that co...
The average score of 24 students in a class is 78. If the top 4 scores are removed, the new average score of the remaining students drops by 2 points, what...
A principal of ₹5000 is invested at a simple interest rate of 8% per annum. What will be the interest earned after 3 years?
A principal of ₹8000 is invested at a compound interest rate of 10% per annum. What will be the amount after 2 years?
A and B start a business together. A invests ₹20,000 for 6 months, and B invests ₹30,000 for 8 months. If the total profit is ₹6000, how much does A ...
A sphere is inscribed in a cylinder. The radius of the cylinder is 7 cm. What is the volume of the sphere?
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