Here we will see different problem where both percentage increase and decrease or vice versa is there.

Ques. An online shopping website sells a product for 1000Rs and then gives 40% discount and he then increases price by 50%. What is the final price of the product?

Let initial number be 100.

It is quiet obvious that for 100, after giving x% discount the price will be 100 – x. So, (100 – 40) = 60

For 60 we do same thing again we calculate 50% increase, which easily can be 5x(10% of 60) = 5x(6) =30

So 50 % now is 30, thus after discount price will be 60 + 30 = Rs90.

Thus for 1000 -> 90(1000/100) = Rs900 Answer

Now try to Solve the same Question yourself, with 25% increase and 25% decrease.

Note – Please don’t see the solution below until you solve it.

It was quiet obvious to think that answer will be 100 but its not.

First we calculate 25% of 100, which will be 25. So new amount is 125.

Now we will calculate 25% dec in 125. For which we will do following –

Calculate 10% of 125 = 12.5, thus 20% is 2(12.5) = 25

Here rather than calculating 1% and multiply by 5 its better to divide 10%/2 to calculate 5%. Thus 6.25 is 5%

So total is 25 + 6.25 = 31.25 and value 93.25

Now price = 93.25(1000/100) = 932.5Rs.

There is no direct formula for such kind of problems.

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