a companys revenue increased by 15% in the first quarter, decreased by 8% in the second quarter, and…

a companys revenue increased by 15% in the first quarter, decreased by 8% in the second quarter, and increased again by 10% in the third quarter. if the companys revenue at the start of the year was 200,000, what is the total revenue after the three quarters?\na $219,000\nb $211,230\nc $232,760\nd $225,510

a companys revenue increased by 15% in the first quarter, decreased by 8% in the second quarter, and increased again by 10% in the third quarter. if the companys revenue at the start of the year was 200,000, what is the total revenue after the three quarters?\na $219,000\nb $211,230\nc $232,760\nd $225,510

Answer

Explanation:

Step1: Calculate revenue after first - quarter

The initial revenue is $200000$. A 15% increase means we multiply by $(1 + 0.15)$. So the revenue after the first quarter is $200000\times(1 + 0.15)=200000\times1.15 = 230000$.

Step2: Calculate revenue after second - quarter

The revenue from the first quarter is $230000$. A 8% decrease means we multiply by $(1 - 0.08)$. So the revenue after the second quarter is $230000\times(1 - 0.08)=230000\times0.92 = 211600$.

Step3: Calculate revenue after third - quarter

The revenue from the second quarter is $211600$. A 10% increase means we multiply by $(1 + 0.1)$. So the revenue after the third quarter is $211600\times(1 + 0.1)=211600\times1.1 = 232760$.

Answer:

C. $232760$