Problems on Percentage
Example 1
Shweta is a very expert in bargaining. Once she went to a nearby shop. When shweta asked the price of shampoo sachet the shopkeeper told her the price by increasing 15% of the original cost. But shweta insisted to decrease the price by 15% so the shopkeeper sold it by decreasing the price by 15% what is the loss or profit of shopkeeper and by how much percent?
Solution:
Let the actual price be 100
100 ---(+15%)-----> 115----(-15%)--------> 97.75
loss of 2.25%
Example 2
If the length and breadth of a rectangle are changed by +20% and -10% what percentage change in area of rectangle?
Solution:
l x b = area
1 x 1 = 1
1.2 x 0.9 = 1.08
so there is 8% increase in the area of rectangle.
Example 3
The salary of A is 20% lower than B's salary and the salary of C is 56.25% greater than A's salary. By how much percent the salary of B is less than the salary of C.
Solution:
A B C
80<----(-25%)------------100 125
------------------(+56.25%)------------------------->
the required value = 25/125 x 100 = 20%
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