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A stationery shop sells premium, standard, and basic pens at ₹15, ₹10, and ₹5 each, respectively. The pens are sold in the ratio 3 : 2 : 5. What is th
Question

A stationery shop sells premium, standard, and basic pens at ₹15, ₹10, and ₹5 each, respectively. The pens are sold in the ratio 3 : 2 : 5. What is the average selling price (in ₹) of a pen?

A.

8

B.

7

C.

9

D.

6

Correct option is C

Given:
Price of premium pens = ₹15
Price of standard pens = ₹10
Price of basic pens = ₹5
Ratio of quantities sold = 3 : 2 : 5
Formula Used:
Average Selling Price = Total ValueTotal Quantity \frac{Total\ Value}{Total\ Quantity}​​
Solution:
Let the quantities sold be 3x, 2x, and 5x.
Total value of premium pens = 3x × 15 = 45x
Total value of standard pens = 2x × 10 = 20x
Total value of basic pens = 5x × 5 = 25x
Total value of all pens = 45x + 20x + 25x = 90x
Total quantity of all pens = 3x + 2x + 5x = 10x
Average selling price = 90x10x \frac{90x}{10x}​ = 9
Final Answer
So the correct answer is (c)

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