Question : 30 pens and 75 pencils altogether were purchased for Rs. 510. If the average price of a pencil was Rs. 2, what was the average price of a pen?
Option 1: Rs. 9
Option 2: Rs. 10
Option 3: Rs. 11
Option 4: Rs. 12
Correct Answer: Rs. 12
Solution : Total price = Price of 30 pens + Price of 75 pencils ⇒ 510 = Price of 30 pens + Price of 75 pencils ..........(1) According to the question, The average price of a pencil = Rs. 2 ⇒ Total price of 75 pencils = 2 × 75 = Rs. 150 Putting in (1), we get, ⇒ 510 = Price of 30 pens + 150 $\therefore$ Price of 30 pens = Rs. 360 ⇒ Average price of a pen = $\frac{360}{30}$ = Rs. 12 Hence, the correct answer is Rs. 12.
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