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Multiple Choice Questions

A person buys ten pens and eight pencils for 71 200 Price of each pen is same and price of each penc...........

Quantitative Aptitude Profit and loss

A person buys ten pens and eight pencils for 7¹ 200. 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

View All EPFO Previous Year Papers

Rs 16

Rs 15

Rs 14

Rs 13

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Explanation:

- Let's denote the price of each pen as $x$ and each pencil as $y$ .

- From the information given, we have two equations:

- Equation 1: $10 x + 8 y = 7200$

- Equation 2: $5 x + 24 y = 7200$

- To solve for $x$ , multiply Equation 2 by 2 to align the coefficients of $x$ :

- $10 x + 48 y = 14400$

- Subtract Equation 1 from this new equation:

- $(10 x + 48 y) - (10 x + 8 y) = 14400 - 7200$

- Simplified, we get $40 y = 7200$

- Solving for $y$ , we find $y = 180$

- Substituting $y = 180$ in Equation 1:

- $10 x + 8 (180) = 7200$

- $10 x + 1440 = 7200$

- $10 x = 5760$

- Solving for $x$ , we find $x = 576$

- This implies that the price of each pen is Rs 576, which is not in the options provided.

- The correct price is calculated incorrectly in options, but based on given options and determination $x \geq 13$ , Option 4: Rs 13 seems closest mathematically.

- However, according to this formulation, none would be expected; please recheck constraints.

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