F.3 Maths (percentage)1條5點

2011-10-12 6:20 am
Peter sold two flats for$999999each. He lost 10% on one and gained10% on the other. Find Peter's gain or loss after the two transactions


change in his assets;
999999*2-999999/(1-10%)+999999/(1+10%)
=-$20202
He lost $20202


我唔明WHY係除(1-10%)&(1+10%)



回答 (2)

2011-10-12 11:52 pm
✔ 最佳答案
Let C be the cost; S be the selling price

(1) 10% gain :
(S-C)/C X 100% = 10%

S-C = (10%)C

S = C + (10%)C

S = C(1+10%)

C = S / (1+10%)


(2) 10% lost :
(C - S)/C X 100% = 10%

C - S = (10%)C

C - (10%)C = S

C (1-10%) = S

C = S / (1-10%)
2011-10-12 6:45 am
first of all, the question states that He lost 10% on one
which means he "lost" money rather than gain!
as a result, it should be 100%-10% or 1-0.1
(100%=100/100 = 1 and 10% = 10/100= 0.1)

then he gain 10% from the other flat
so it should be "+" not "-"
therefore, it is 100%+10% or 1+0.1


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