Discussion
The cost of 8 pens is ₹ 116 and the cost of 15 pencils is ₹ 67·50. Surbhi has one ₹ 200 note. If she buys 6 pens and 8 pencils, then how many rupees are left with her ?
Answer: B
Surbhi is left with ₹ 77.
Find the unit prices first.
\[ \begin{aligned} \text{1 pen} &= 116 \div 8 = 14.50 \\ \text{1 pencil} &= 67.50 \div 15 = 4.50 \end{aligned} \]
\[ \begin{aligned} \text{cost} &= 6 \times 14.50 + 8 \times 4.50 \\ &= 87 + 36 = 123 \\ \text{left} &= 200 - 123 = 77 \end{aligned} \]
So she spends ₹ 123 and keeps ₹ 77. The option ₹ 80 is what rounding the pen price down to ₹ 14 gives (84 + 36 = 120), so the half-rupee in each price matters.
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