# A retailer bought a number of shirts for 1800 and sold all but 6 at a profit of P20 per shirt actually sold. Withthe total amount (continued...)received he could buy 30 more shirts than before....

A retailer bought a number of shirts for 1800 and sold all but 6 at a profit of P20 per shirt actually sold. Withthe total amount (continued...)

received he could buy 30 more shirts than before. Find the cost per shirt.

Use the format “Given, Required, Solution, Check, Final Answer”

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### 1 Answer

Given:

Total cost of the shirts (C) = 1800

Let the total number of shirts be X.

==> Number of shirts sold = (x-6)

Profit per shirt = 20

total profit = cost of 30 shirts

Required:

Find the cost per shirt (S)

Solution:

Total cost = number of shirt X cost per shirt

1800 = X * S............(1)

Profit = cost of 30 shirt

(shirts sold*cost per shirt) = (cost per shirt * 30)

(x-6)*S = 30s

xs -6s = 30s

==> xS = 36S

==> 1800= 36s

==> s = 50

==> x = 1800/50 = 36

**Then, the cost per shirt is S = 50 **