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Question 49
When the price of sugar decreases by 10%, a man could buy 1 kg more for 270/. The original price of sugar per kg is :
Solution
Let the original price of the sugar = Rs. $$10x$$
New price = $$\frac{90}{100} \times 10x = 9x$$
Acc to ques,
=> $$(\frac{270}{9x}) - (\frac{270}{10x}) = 1$$
=> $$\frac{30}{x} - \frac{27}{x} = 1$$
=> $$\frac{3}{x} = 1$$
=> $$x = 3$$
$$\therefore$$ Original price = 10 * 3 = Rs. 30
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