Items A and B cost price equal, item A sold at 40% profit and item B sold at 20%less than the selling price of item A, total profit is 189.find the cost price of A?
a)440
b)420
c)480
d)485
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Let the cost price =C
The cost price for A and B are equal.
The selling price of A=(140 /100)×C =1.4C
The selling price of B is 20% less of A then it means the selling price is 80% of the selling price of A.
Solving this we get:(80/100) × 1.4C =1.12C
The profit for A is:0.40C and the profit for B is 0.12C
The total profit is 0.40C+0.12C
0.52C
This equals to 189.
0.52C =189
C=363.46
The cost price is thus 363.46
The cost price for A and B are equal.
The selling price of A=(140 /100)×C =1.4C
The selling price of B is 20% less of A then it means the selling price is 80% of the selling price of A.
Solving this we get:(80/100) × 1.4C =1.12C
The profit for A is:0.40C and the profit for B is 0.12C
The total profit is 0.40C+0.12C
0.52C
This equals to 189.
0.52C =189
C=363.46
The cost price is thus 363.46
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