2023 · Q43
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?
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- ARs. 16
- BRs. 15
- CRs. 14
- DRs. 13
Explanation
Let the pen cost Rs. p and the pencil Rs. c. Then 10p + 8c = 200 and 5p + 24c = 200. Halving the first equation gives 5p + 4c = 100; subtracting from the second gives 20c = 100, so c = 5. Substituting back, 5p = 100 - 20 = 80, so p = 16. Each pen costs Rs. 16, option (a).