The sneaker shop sells the shoes with a 20% profit. If the manufactures cost wouldbe 20% lower and if the shop would have a 40% profit, the cost of shoes would be$30 less than it is now. Find the price of the shoes.
Answers
Given :- The sneaker shop sells the shoes with a 20% profit. If the manufactures cost would be 20% lower and if the shop would have a 40% profit, the cost of shoes would be$30 less than it is now.
To Find :- The price of the shoes.
Solution :-
Let us assume that, the price of the shoes is $100x .
so,
→ SP of shoes at 20% profit = (100x * 120)/100 = $120x .
now,
→ manufactures cost decreased by = 20%
so,
→ CP of shoes = (100x * 80)/100 = $80x .
then,
→ SP at 40% profit will be = (80x * 140)/100 = $112x .
A/q,
→ 120x - 112x = 30
→ 8x = 30
→ x = (30/8)
→ x = $(15/4)
therefore,
→ The price of shoes = 100x = 100 * (15/4) = $375 (Ans.)
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The price of the shoes 375$,
Given,
The sneaker shop sells the shoes with a 20% profit. If the manufactures cost would be 20% lower and if the shop would have a 40% profit, the cost of shoes would be$30 less than it is now.
To Find,
The price of the shoes.
Solution:
Consider that the cost of the shoes is= 100$
20% of 100
100*20/100=20
profit is 20%=100+20=120$
selling price of shoes at 20% profit=100x*120/100
=120x$
now manufacture cost decreased by= 20%
loss=100-20
=80
cost price of shoes=100x*80/100
=80x$
then, selling price at 40% profit will be=80x*140/100
=112x$
according to the question,
120x-112x=30
8x=30
x=15/4
price of shoes is =100*15/4=375$
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