Answer :
Let's solve each question one by one:
Finding the other number when the product of two decimals is given:
We know that the product of two numbers is 131.58, and one of the numbers is 2.15.Let the other number be [tex]x[/tex]. So, the equation is:
[tex]2.15 \times x = 131.58[/tex]
To find [tex]x[/tex], divide both sides by 2.15:
[tex]x = \frac{131.58}{2.15} = 61.2[/tex]
Finding the price of multiple metres of cloth:
The price of one metre of cloth is ₹62.85.For 23 metres, the total cost would be:
[tex]62.85 \times 23 = ₹1445.55[/tex]
Finding the number of books in a pile based on thickness:
A pile of books is 54.4 cm high, with each book 3.2 cm thick.The number of books [tex]n[/tex] is:
[tex]n = \frac{54.4}{3.2} = 17[/tex]
Calculating how many shirts can be made from a given length of cloth:
One shirt requires 2.7 m of cloth, and the available cloth is 40.5 m.The number of shirts [tex]n[/tex] is:
[tex]n = \frac{40.5}{2.7} = 15[/tex]
Calculating savings in a year from monthly savings:
Shubham saves 0.2 part of his monthly salary, which is ₹55,000.Monthly savings: [tex]0.2 \times 55000 = ₹11,000[/tex]
Yearly savings: [tex]11,000 \times 12 = ₹132,000[/tex]
Converting meters to inches:
Given 1 m = 39.37 inches. For 16 m:[tex]16 \times 39.37 = 629.92 \text{ inches}[/tex]
Finding the cost of one steel chair:
The total cost for 15 chairs is ₹1706.25. So, the cost of one chair is:[tex]\frac{1706.25}{15} = ₹113.75[/tex]
Calculating the cost of a dozen oranges:
The price of one orange is ₹6.45.A dozen (12) oranges will cost:
[tex]12 \times 6.45 = ₹77.40[/tex]
Finding the number of boys in a school:
Given 0.4 part of students are boys and the number of girls is 360.If the total number of students is [tex]T[/tex], then:
[tex]0.6T = 360[/tex]
[tex]T = \frac{360}{0.6} = 600[/tex]
Number of boys = [tex]0.4 \times 600 = 240[/tex]Calculating the weight of 100 bags of cement:
Total weight of 73 bags is 4106.25 kg.Weight of one bag [tex]W[/tex] is:
[tex]W = \frac{4106.25}{73} \approx 56.25 \text{ kg}[/tex]
Weight of 100 bags:
[tex]100 \times 56.25 = 5625 \text{ kg}[/tex]
Calculating time to cover a different distance at the same speed:
A bus covers 180 km in 4.5 hours, so its speed is [tex]\frac{180}{4.5} = 40 \text{ km/h}[/tex].Time to cover 280 km:
[tex]\text{Time} = \frac{280}{40} = 7 \text{ hours}[/tex]
Finding the thickness of one sheet of paper:
The thickness of 12 sheets is 2.16 mm.Thickness of one sheet [tex]t[/tex] is:
[tex]t = \frac{2.16}{12} = 0.18 \text{ mm}[/tex]
These calculations provide clear solutions to each problem.