Question : The price of sugar is increased by 40%. By what percentage must one cut down on the consumption of sugar so that no extra amount has to be incurred on sugar?
Option 1: 33.5%
Option 2: 28.5%
Option 3: 66.6%
Option 4: 26.6%
Correct Answer: 28.5%
Solution :
Suppose at first 100 kg sugar costs Rs. 100.
Now, the price increased by 40%.
New price = 100 + 40 = 140
Now, quantity of sugar in that price will be = $\frac{100×100}{140}=71.43$ kg
Reduced percentage = 100 – 71.43 = 28.57%
Hence, the correct answer is 28.5%.
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