Discussion
When the price of sugar decreases by 10%, a man could buy 1 kg more for Rs. 270. Then, the original price of sugar per kg is
Answer: D
The original price is Rs. 30 per kg.
Let the original price be \(p\). After a 10% cut the price is \(0.9p\), and Rs. 270 buys 1 kg more:
\[ \begin{aligned} \frac{270}{0.9p} - \frac{270}{p} &= 1 \\ \frac{300 - 270}{p} &= 1, \quad p = 30 \end{aligned} \]
Check: at Rs. 30, Rs. 270 buys 9 kg; at Rs. 27 it buys 10 kg. Rs. 27 is the reduced price, the usual trap.
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