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1. A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg more for Rs. 240. What is original price per kg of sugar.
It means,
25% = 6 Kg. So,
Initially, total Sugar = 6 × 4 = 24Kg. Thus,
Original price of the sugar was,
= Rs. 10 per kg.
Note:
Let initial price of 100 kg Sugar was Rs. 100.
Now, 20% decrease in rate then rate of 100 kg sugar would be Rs. 80.
So,
Rs. 80 = 100 kg sugar.
Rs. 1 = kg sugar.
Rs. 100 = = 125 Kg sugar.
Increment in sugar = 25 kg.
% increment = = 25%.
Means 20% rate decrease, 25% of consumption increase.
Solution:
It is based on inverse proportion or product constancy concept. Reduction in price 20% amount of sugar will increase 25%It means,
25% = 6 Kg. So,
Initially, total Sugar = 6 × 4 = 24Kg. Thus,
Original price of the sugar was,
= Rs. 10 per kg.
Note:
Let initial price of 100 kg Sugar was Rs. 100.
Now, 20% decrease in rate then rate of 100 kg sugar would be Rs. 80.
So,
Rs. 80 = 100 kg sugar.
Rs. 1 = kg sugar.
Rs. 100 = = 125 Kg sugar.
Increment in sugar = 25 kg.
% increment = = 25%.
Means 20% rate decrease, 25% of consumption increase.