Question

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. Find the price of the shoes​

Answer 1

Answer:

Let CP =x=x, so S.P =1.2x

When CP is Rs. 100 less,

CP=x−100

SP=1.2x−100

Now,  

1.2x−100=1.24×(x−100)

On solving , we get

x=600

CP=Rs.600

Step-by-step explanation:

Answer 2

Answer:

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

we get

x= (30/8)

x = $(15/4)

therefore,

→ The price of shoes = 100x = 100 * (15/4) = $375 (Ans)