The cost of 16 pens and 8 pencils is Rs.352 and the cost of 4 pens and 4 pencils is Rs.96. Find the cost of each pen?
Correct answer: E. None of these
- A. Rs.32
- B. Rs.28
- C. Rs.36
- D. Rs.25
- E. None of these
Explanation
Let a pen cost p rupees and a pencil cost c rupees. Dividing 16p + 8c = Rs.352 by 8 gives 2p + c = Rs.44, while 4p + 4c = Rs.96 gives p + c = Rs.24; subtraction yields p = Rs.20. A likely mistake is option d, Rs.25, from solving the second equation alone or failing to eliminate the pencil cost.
Last updated
About Linear Equations
Linear equations contain variables only to the first power and produce straight-line relationships when represented graphically. Problems involve solving equations with brackets, fractions, and variables on both sides, forming equations from statements, and handling simultaneous linear equations, which differ from quadratic equations by having no squared variable.
Practise Algebra
269 free Algebra MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Mathematics questions like this
Mathematics is on 67 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.