Question

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $2500 and his stock in Company B was worth $6360. The stock in Company A has decreased 23% since last year and the stock in Company B has decreased 5%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answer 1

10.1%

Explanation:

2500*77/100 = 25*77, or 1925.

6360*95/100, 6360*19/20. 6360/20 = 318, 318*19 = 6042. You can just skip a step there by subtracting 318 from 6360, too.

6042+1925 = 7967. Original was 2500 + 6360 = 8860.

8860-7967 = 893. 893/8860 = 0.100790068, or 10.07%, which rounds to 10.1%.