Question

Cost of 8 pens and 4 pencils is Rs 176 and the cost of 2 pens and 2 pencils is Rs 48. What is the cost of one pen ?

• A. Rs 16
• B. Rs 14
• C. Rs 12
• D. Rs 18
• E. None of these

Answer 1

The correct option is E None of these

Here, 8 pens + 4 pencils = Rs 176
2 pens + 2 pencils = Rs 48
$\Rightarrow$ 1 pens + 1 pencils = Rs 24
$\Rightarrow$ cost of 1 pen = 24 - 1 pencil
8(24-1 pencil) + 4 pencils = Rs 176
192 - 8 pencils + 4 pencils = Rs 176
192 - 4 pencils = 176
4 pencils = 16
1 pencils = Rs 4
$\therefore$ CP of 1 pencil = Rs 4 and CP of 1 pen = 24-4 = Rs 20