# Word Problem 8

**Problem 8: A reduction of 20% in the price of sugar enables a purchaser to buy 4 kgs more for Rs 80. The original price of 1 kg of sugar was;**

**a) Rs 4 b) Rs 4.50 c) Rs 8 d) Rs 5.50**

**Solution: **

*We suppose;*

*Original price of sugar per kg *

It means y rupees is equal to 1 kg of sugar i-e

Now we calculated quantity of sugar in 80 Rs according to original price, so, from above we get;

Multiply both sides by 80

Now we come to new price per kg, after reduction of 20 % in original price. i-e after reduction of per kg. But new price per kg is calculated by subtracting reduction from original price i-e;

New Price

This simply means now 1 kg of sugar can be bought in Rs . We can write;

Now we will calculate quantity of sugar in 80 Rs according to New Price ( After Reduction);, So multiply both sides by 80;

But according to condition of question, this quantity of sugar in Rs 80 as per new price should be 4 kg more than quantity of sugar in 80 Rs as per original price ! i-e we will add 4 kg more to , then both quantities of Rs 80 will be equal!

i-e

Shift ‘y’ terms to one side;

So original price of sugar per kg was Rs 5

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