A person buys ten pens and eight pencils for Rs 200. Price of each pen is same and price of each pencil is same. If he could have bought five pens and twenty-four pencils of same types using the same amount, then what is the price of each pen in rupees ?
This questions was previously asked in
EPFO EO AO 2023
Explanation:
Let's solve it step by step:
- Let the price of each pen be Rs P and each pencil be Rs Q.
- Total cost: 10P + 8Q = 200 ...(1)
- Alternate option: 5P + 24Q = 200 ...(2)
- Let's solve these two equations.
Multiply (2) by 2:
- 10P + 48Q = 400
Now subtract (1) from this:
- (10P + 48Q) - (10P + 8Q) = 400 - 200
- 40Q = 200
- Q = 5
Substitute Q = 5 in (1):
- 10P + 8*5 = 200
- 10P + 40 = 200
- 10P = 160
- P = 16
Now, reviewing options:
- Option 1: Rs 16
- Option 2: Rs 15
- Option 3: Rs 14
- Option 4: Rs 13
Correct Answer: Option 1 - Rs 16
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By: Babita