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Answer :
Let's answer each of the questions one by one:
69. Simple Interest Calculation:
Simple Interest is calculated using the formula:
[tex]\text{Simple Interest (SI)} = \frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100}[/tex]
Given:
- Principal (P) = ₹2000
- Rate (R) = 8% per annum
- Time (T) = 3 years
Substituting these values into the formula:
[tex]\text{SI} = \frac{2000 \times 8 \times 3}{100} = 480[/tex]
Therefore, the simple interest is ₹480.
70. Speed of the Car:
Speed is calculated using the formula:
[tex]\text{Speed} = \frac{\text{Distance}}{\text{Time}}[/tex]
Given:
- Distance = 240 Km
- Time = 4 hours
So, the speed of the car is:
[tex]\text{Speed} = \frac{240}{4} = 60 \text{ Km/hr}[/tex]
Therefore, the speed of the car is 60 Km/hr.
71. Perimeter of a Rectangle:
The perimeter of a rectangle is calculated using the formula:
[tex]\text{Perimeter} = 2 \times (\text{Length} + \text{Breadth})[/tex]
Given:
- Length = 12 cm
- Breadth = 8 cm
Substituting these values into the formula:
[tex]\text{Perimeter} = 2 \times (12 + 8) = 2 \times 20 = 40 \text{ cm}[/tex]
Therefore, the perimeter of the rectangle is 40 cm.
72. Perimeter of a Triangle:
The perimeter of a triangle is the sum of the lengths of its sides:
[tex]\text{Perimeter} = \text{Side 1} + \text{Side 2} + \text{Side 3}[/tex]
Given sides:
- 4 ft
- 3 ft
- 2 ft
Adding these values:
[tex]\text{Perimeter} = 4 + 3 + 2 = 9 \text{ feet}[/tex]
Therefore, the perimeter of the triangle is 9 feet.
73. Population of a Village in 2001:
The population in 2001 is the initial population plus the increase:
[tex]\text{Population in 2001} = \text{Initial Population} + \text{Increase}[/tex]
Given:
- Initial Population = 375070
- Increase = 68670
Adding these:
[tex]\text{Population in 2001} = 375070 + 68670 = 443740[/tex]
Therefore, the population in 2001 was 443740.
74. Number of Men Required:
This is an inverse proportion problem. Let the required number of men be [tex]x[/tex]. Using the formula for inverse proportion:
[tex]12 \times 15 = x \times 10[/tex]
Solving for [tex]x[/tex]:
[tex]x = \frac{12 \times 15}{10} = 18[/tex]
So, 18 men are required to complete the task in 10 days.
75. Evaluation of Expression:
Using the order of operations (BODMAS/BIDMAS):
[tex]2 + 3 \times 4 - 6 + 3[/tex]
First, multiply:
[tex]= 2 + 12 - 6 + 3[/tex]
Now, perform the additions and subtraction from left to right:
[tex]= 14 - 6 + 3 = 8 + 3 = 11[/tex]
Therefore, the value of the expression is 11.
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