Question

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.

Answer 1

Answer:

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,

24024

= 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 = 10080

kg sugar.

Rs. 100 = 100×10080

= 125 Kg sugar.

Increment in sugar = 25 kg.

% increment = 25×100100

= 25%.

Means 20% rate decrease, 25% of consumption increased

Answer 2

Hence,

Reduction in price 20% , the amount of sugar will increase by 25%.

=> 25% = 6 kg

Total sugar = 6 X 4 = 24 kg

Original price of Sugar was = 240/4

= Rs.10 kg

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Let initial price of 100 kg sugar was Rs. 100

now,

20 % decrease in rate then the rate of 100 kg sugar will be 80.

Then,

Rs 80 = 100 kg sugar

Rs 1 = 100/80 kg sugar

Rs 100 = 100 X 100/80 = 125 kg sugar.

increase in sugar 25 kg

How much ?

=> 25 X 100/100

=25%

==> Means 20% rate decreases and the consumption will be increased by 25% <==

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