Question : In INR 150, B buys 10 pens for INR 8 each, 10 erasers for INR 5 each and some sharpeners for INR 4 each. What is the average price per item in INR?
Option 1: 8
Option 2: 7
Option 3: 10
Option 4: 6
Correct Answer: 6
Solution :
Let $x$ be the number of sharpeners he buys.
According to the question,
$10\times 8 + 10\times 5 + x\times 4 = 150$
⇒ $80+50+4x = 150$
⇒ $4x = 150 - 130 = 20$
$\therefore x = 5$
Average price of per item = $ \frac{150}{10+10+5} = 6$
Hence, the correct answer is 6.
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