<PRE><B>Question 1122764</B>
1/3 * 4 - 1/5 * 5 + (1 - 1/3 - 1/5) * 10 = 5% overall increase.


1 - 1/3 - 1/5 = 1 - 5/15 - 3/15 = 1 - 8/15 = 7/15


1/3 * 4 - 1/5 * 5 + 7/15 * 10 = 5%


5/15 * 4 - 3/15 * 5 + 7/15 * 10 = 20/15 - 15/15 + 70/15 = 75/15 = 5%


1/3 * 1.04 + 1/5 * .95 + 7/15 * 1.10 = 1.05 - 1 = .05 * 100 = 5%.


it all points to a 5% overall increase.


for example:


assume the original capital is 15000.


1/3 of that increases by 4%
1/5 of that decreases by 5%
7/15 of that increases by 10%.


that means that .....


5000 increases by 4% = 5000 * 1.04 = 5200
3000 decreases by 5% = 3000 - .05 * 3000  = 2850
7000 increases by 10% = 7000 * 1.10 = 7700.


total increase is 5200 + 2850 + 7700 - 15000 = 15750 - 15000 = 750.


750 / 15000 = .05 * 100 = 5%.


note that 3000 - .05 * 3000 = 3000 * (1 - .05) = 3000 * .95 = 2850


your solution is that the overall increase is 5%.






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