profits increased by 40% in january, then decreased by 30% in february, then increased by 20% in march. Express the change over the entire first quarter as a single percentage.
Answers
Percentage change in the value in the entire first quarter is 17.60% increase.
Step-by-step explanation:
Let the initial value = Rs.100
In January,
If profit is 40%,
Value in January = (100+40)% of Rs.100
= Rs.140
In February,
If value is decreased by 30%,
Value in Febuary = (100-30)% of Rs.140
= 70% of Rs.140
= Rs.98
In March,if value is increase by 20%,
Value in March = (100+20)% of Rs.98
= 120% of Rs.98
= Rs.117.60
Now,Change in value over entire first quarter = Rs.117.60-Rs.100
= Rs.17.60
⇒Value has been increased by Rs.17.60 over entire quarter.
Rs.17.60 = x% of Rs.100
17.60 % of Rs.100 = Rs.17.60
Hence,Percentage change in the value in the entire first quarter is 17.60% increase.