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
(word problems on job exam mathematics.)
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