Question

price of sugar having been fallen by 18%a consumer can buy 1062kg more than before had the price bean increased by 18%how much quantity of sugar could he have bought for the save sum​

Answer 1

Answer:

Here is your Answer...

Let the price of 1kg of sugar be X.

Let the total quantity of sugar brought be Y.

Therefore the total amount of money spent will be Z=XY.

Now the price of the sugar has fallen by 10%. The new price is 0.9x. So the new total Z1=0.9XY.

Condition given: A consumer can buy 22 kg more than before had the price been increased by 10%.

So if the price had been increased by 10%, the new total price would have been Z2=1.1XY.

According to the condition, (Z1-Z2)/X=22kg, i.e 0.2yx/x = 22

Therefore the original quantity before the price drop that is been brought is 110kgs.

But if the total sum was same, then Z1=Z,

Therefore the quantity of sugar that is been brought after price drop is,

0.9X*Y1=XY => Y1=110/0.9 = 122kgs.

Similary on above grounds, after price up, 110/1.1 = 100kgs