Store X sells both hardware and software for computers. In year 2016, the profit earned by the
hardware section in the second quarter is 20% less than in the previous quarter and the profit earned
by the software section is 25% more in the second quarter than in the previous quarter of 2016.
The profit earned by the software section in the second quarter of 2016 is what percentage of the
profit earned by hardware section in the first quarter of 2016?
Hints-
(1) The profit earned by the hardware section in the second quarter of 2016 is 40% of the profit
earned by the software section in the first quarter.
(2) The profit earned by the hardware section in the second quarter of 2016 is 32% of the profit
earned by the software section in the second quarter.
Answers
Given : Store X sells both hardware and software for computers.
In year 2016, the profit earned by the hardware section in the second quarter is 20% less than in the previous quarter and the profit earned
by the software section is 25% more in the second quarter than in the previous quarter of 2016.
1) The profit earned by the hardware section in the second quarter of 2016 is 40% of the profit earned by the software section in the first quarter.
(2) The profit earned by the hardware section in the second quarter of 2016 is 32% of the profit earned by the software section in the second quarter.
To Find : The profit earned by the software section in the second quarter of 2016 is what percentage of the profit earned by hardware section in the first quarter of 2016?
Solution:
Profit Earned by Software in 1st Quarter of 2016 = 4S
Profit Earned by Hardware in 1st Quarter of 2016 = 5H
Profit earned by the hardware section in the second quarter is 20% less than in the previous quarter
Profit Earned by Hardware in 2nd Quarter of 2016 = 5H - (20/100)5H = 4H
profit earned by the software section is 25% more in the second quarter than in the previous quarter of 2016.
Profit Earned by Software in 2nd Quarter of 2016 = 4S + (25/100)4S = 5S
The profit earned by the hardware section in the second quarter of 2016 is 40% of the profit earned by the software section in the first quarter.
=> 4H = (40/100)4S => H = 0.4S
The profit earned by the hardware section in the second quarter of 2016 is 32% of the profit earned by the software section in the second quarter.
4H = (32/100)5S => H = 0.4S
Both matches
The profit earned by the software section in the second quarter of 2016 = 5S
profit earned by hardware section in the first quarter of 2016 = 5H = 5(0.4S) = 2S
The profit earned by the software section in the second quarter of 2016 is what percentage of the profit earned by hardware section in the first quarter of 2016 = 100 * 5S/2S = 250 %
250 %
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