Let's work through the problem step-by-step to determine the price of 3 pens and 5 pencils.
1. Total price of 100 pens:
Given that the total price for 100 pens is ₹ [tex]\(500 \frac{3}{5}\)[/tex]. This can be converted to a decimal:
[tex]\[
500 \frac{3}{5} = 500 + \frac{3}{5} = 500 + 0.6 = 500.6
\][/tex]
Therefore, the total price for 100 pens is ₹ 500.6.
2. Cost of one pen:
To find the cost of one pen, we divide the total price by the number of pens:
[tex]\[
\text{Cost of one pen} = \frac{500.6}{100} = 5.006
\][/tex]
So, the cost of each pen is ₹ 5.006.
3. Total price of 50 pencils:
Given that the total price for 50 pencils is ₹ [tex]\(100 \frac{1}{5}\)[/tex]. This can also be converted to a decimal:
[tex]\[
100 \frac{1}{5} = 100 + \frac{1}{5} = 100 + 0.2 = 100.2
\][/tex]
Therefore, the total price for 50 pencils is ₹ 100.2.
4. Cost of one pencil:
To find the cost of one pencil, we divide the total price by the number of pencils:
[tex]\[
\text{Cost of one pencil} = \frac{100.2}{50} = 2.004
\][/tex]
So, the cost of each pencil is ₹ 2.004.
5. Total cost for 3 pens and 5 pencils:
Now, we calculate the total cost for 3 pens and 5 pencils:
[tex]\[
\text{Total cost for 3 pens} = 3 \times 5.006 = 15.018
\][/tex]
[tex]\[
\text{Total cost for 5 pencils} = 5 \times 2.004 = 10.02
\][/tex]
Adding these together gives:
[tex]\[
\text{Total cost} = 15.018 + 10.02 = 25.038
\][/tex]
Given the options provided in the MCQ:
(a) ₹ 2504
(b) ₹ 25.04
(c) ₹ 25.4
(d) ₹ 25
The closest and most accurate answer is:
(b) ₹ 25.04
