If the cost of 7 pencil is RS 8 more than the cost of 5 pencils then f...
Problem:
If the cost of 7 pencils is RS 8 more than the cost of 5 pencils, then find the cost of 14 pencils.
Solution:
To find the cost of 14 pencils, we first need to determine the cost of 1 pencil. From the given information, we know that the cost of 7 pencils is RS 8 more than the cost of 5 pencils. Let's represent the cost of 5 pencils as x.
Step 1: Define the variables
Let's define the variables:
Cost of 5 pencils = x
Cost of 7 pencils = x + RS 8
Cost of 1 pencil = ?
Step 2: Find the cost of 1 pencil
To find the cost of 1 pencil, we can set up a proportion. We know that the cost of 7 pencils is RS 8 more than the cost of 5 pencils, so we can write the following equation:
7 pencils / 5 pencils = (x + RS 8) / x
Simplifying the equation, we get:
7/5 = (x + RS 8) / x
Cross-multiplying, we have:
7x = 5(x + RS 8)
Expanding the equation, we get:
7x = 5x + 40
Subtracting 5x from both sides, we get:
2x = 40
Dividing both sides by 2, we get:
x = 20
Therefore, the cost of 1 pencil is RS 20.
Step 3: Find the cost of 14 pencils
Now that we know the cost of 1 pencil is RS 20, we can find the cost of 14 pencils by multiplying the cost of 1 pencil by 14:
Cost of 14 pencils = RS 20 * 14 = RS 280
Therefore, the cost of 14 pencils is RS 280.
If the cost of 7 pencil is RS 8 more than the cost of 5 pencils then f...
Let the cost of pencils = ×
Cost of 7 pencils = 7×
Rs.8 more than 5 pencils = Rs.8+5×
According to question:
=>7× = Rs. 8+5×
=>7×-5×=Rs.8
=>2×=Rs. 8
=>×=Rs. 8/2
=>×Rs. 4
cost of 14 pencils=14×=Rs. 4*14=Rs. 56
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