In a shoes shop, the cost price of a pair of shoes is $400. It is marked at a price so that the profit per cent is 30%.
(a) Find the marked price.
(b)The marked price is then increase so that the profit percent is still 30% if the shoes are sold at a 20% discount. Find the percentage increase in the marked price.
show steps, thanks.
*I know how to do part (a), But i do not know how to do part (b).
F.1 PERCENTAGES
2011-11-18 7:01 am
回答 (2)
2011-11-18 7:22 am
✔ 最佳答案
(a) 400 * (1 + 30%) = 520(b) Let the new marked price is x
[x * (1 - 20%) - 400]/400 = 0.3
x = 650
So, the percentage increase
= (650 - 520)/520
= 25%
2011-11-18 5:58 pm
for any questions like 1b, do a couple of steps to form the equations...
original marked price = 30% profit = $400 (1+30%)
new marked price (N) with 20% discount = 30% profit
N (1-20%) = 30% profit = $400 (1+30%)
finally, you have a equation like this N(1-20%) = $400(1+30%)
N = $650....
% change = 100% x [(new-old) / old]
= 100% x (650-520) / 520
= .... if > 0 means increase, and vice versa.
original marked price = 30% profit = $400 (1+30%)
new marked price (N) with 20% discount = 30% profit
N (1-20%) = 30% profit = $400 (1+30%)
finally, you have a equation like this N(1-20%) = $400(1+30%)
N = $650....
% change = 100% x [(new-old) / old]
= 100% x (650-520) / 520
= .... if > 0 means increase, and vice versa.
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