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A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

Another method To calculate the selling price, we need to find 15% of the cost price and subtract it from the cost price. Step 1: Calculate the loss amount Loss amount = 15% of Rs. 1400 = (15/100)...

6 days ago 50
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The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

Let me solve this step by step. Curved Surface Area = 2πrh = 264 Volume = πr²h = 924 From (1): h = 264/(2πr) Substituting in (2): πr²(264/(2πr)) = 924 r = 7 Substituting back: h = 264/(2π × 7)...

6 days ago 50
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A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

Quick slove To find the profit, we need to calculate the cost price first. Step 1: Let's assume the cost price is x. We know that the shopkeeper expects a gain of 22.5% on his cost price....

6 days ago 50
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The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

Step 1: Define the variables Let the cost price (CP) of the article be x. Step 2: Set up the equation for percentage profit and loss Given that the percentage profit earned by selling the article...

6 days ago 50
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A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

Let's start by understanding what we know: The vendor buys 6 toffees for 1 rupee. This means that each toffee costs 1/6 of a rupee. To find out how many toffees he should sell for a rupee to make a 20%...

6 days ago 50
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In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

Another Methode First, let's establish our initial scenario: The profit is 320% of the cost, which means: Profit = 320% × Cost = 3.2 × Cost To find the selling price, remember that: Selling Price...

6 days ago 50
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If selling price is doubled, the profit triples. Find the profit percent.

Another Methode Let me help you understand this interesting profit problem by breaking it down carefully. The key insight here is that the relationship between the selling price and profit gives...

6 days ago 50
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Papay buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

Let me solve this step by step. Let's first calculate the total cost (Cost Price) for Papay Cost of scooter = Rs. 4700 Repair cost = Rs. 800 Total Cost Price (CP) = Rs. 4700 + Rs. 800 = Rs....

6 days ago 50
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The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:

To solve this problem, we can follow these steps: Step 1: Calculate the principal amount using compound interest formula. Let's denote the principal amount as P. The compound interest (CI) formula...

6 days ago 50
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A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

Final Answer: The volume of the cone is approximately 50.27 cm³.

February 13, 2025 50
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50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be

Another methode To find the rise in the water level in the tank, we need to calculate the total displacement of water by the 50 men and then use the volume of the tank to determine the rise in...

February 13, 2025 50
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A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:

Final Answer: The weight of the pipe is approximately 3.694 kg.

February 13, 2025 50
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A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:

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February 13, 2025 50
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What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

So, the total surface area of the right circular cone is approximately 497.75 cm2

February 13, 2025 50
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How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

Final Answer: You will need 6400 bricks to build the wall.

February 13, 2025 50
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A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

Final Answer: The volume of the box is 5120 m³, which matches the previous solution  

February 13, 2025 50
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The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

Curved Surface Area (CSA) formula: CSA=πrl\text{CSA} = \pi r lCSA=πrl Find r using Pythagoras: r=102−82=36=6r = \sqrt{10^2 - 8^2} = \sqrt{36} = 6r=102−82​=36​=6 Calculate CSA: CSA=π×6×10=60π≈188.5 m2\text{CSA}...

February 13, 2025 50
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What will be the day of the week 15th August, 2010?

Quick Method: Odd Days Calculation Count odd days from 2000 to 2009 2000 (leap year) → 2 odd days 2001 to 2009 (8 normal years + 1 leap year) → (8 × 1) + (1 × 2) = 10 odd days Total odd...

February 13, 2025 50
Posted an answer
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:

Step 1: Understanding the Rotation The given right triangle has: Base = 4 cm Height = 3 cm Hypotenuse = 5 cm (not needed for volume) When this triangle is rotated about the 3 cm side, it forms...

February 13, 2025 50
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

February 11, 2025 20
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