Question

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1️⃣ Hasan buys two kinds of cloth material for school uniform, shirt material that cost him Rupees 50 per metre and trouser material that cost him Rupees 90 per metre. For for every three metres of the shirt material he buys 2 metre of the trouser material. He he sell the material at 12% and 10% profit respectively. his total sale is Rupees 36,600. How much trouser material did you buy?

2️⃣ There is a narrow rectangular plot reserved for a school in Mahuli village. the length and breadth of the plot are in the ratio 11:4. At the rate of Rupees 100 per metre it will cause the village panchayat Rupees 75000 to fence the plot. What are the dimension of the plot?

3️⃣ Explain and Find square root by division method:-
1. 4489
2. 5776

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Answer 1

Solutions:

1️⃣ Haseena bought some metres of shirt and trousers for her uniform. Let the amount of cloth (trousers and shirts) she bought be 2x and 3x respectively.

Then Cost price:

For Trousers:

• 1 metre of cloth = Rs. 90
• Then 2x metre = Rs. 180x

For Shirts:

• 1 metre of cloth = Rs. 50
• Then 3x metre = Rs. 150x

Finding Selling price:

For Trousers:

• Profit = 10%
• Selling price = 180x + 10/100 × 180x = Rs. 198x

For Shirts:

• Profit = 12%
• Selling price = 150x + 12/100 × 150x = Rs. 168x

Total selling price = Rs. 198x + Rs. 168x = Rs. 366x

∴ Rs. 366x = Rs. 36600

Then x = 100

Amount of cloth bought by her:

• Trousers = 200 m (Required Answer)
• Shirt = 300 m

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2️⃣ Let consider the length be 11x and breadth be 2x. Then the perimeter of the rectangle will be:

➝ 2(l + b)

➝ 2(11x + 4x)

➝ 2(15x)

➝ 30x

Given, Cost of fencing 1 metre of plot = Rs. 100

And, this plot for fencing cost Rs. 75000

That means,

• Length of the boundary × 100 = Total cost

Plugging the values to get the perimeter,

➝ Perimeter × 100 = 75000

➝ Perimeter = 750 m

That's equal to,

➝ 30x = 750 m

➝ x = 25 m

Then the dimension of the plot:

• Length = 11(25) m = 275 m
• Breadth = 4(25) m = 100 m

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3️⃣ Refer to the attachment for long division.

And the steps to be followed are$:$

• Write the number and prepare the division format.
• Now pair up the digits.
• Then find a square number less than or equal to the first pair. Write the square root of that number in the top and left side.
• Find the remainder and bring down the rest numbers.
• Now double up the square root (Number written in top) and add a blank aside of it.
• Find the same digit which can near upto the required number. In this way, we can find the square of the given number.

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And we are done !!