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Find the total cost when p = 80 pages and c = 120 copies. (b) If a shopkeeper marks an article 30% above its cost price and sells it at GH¢162.50, what is his cost price?

Mathematics

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Here are the solutions to questions 7, 8, and 9.

7. (a) Find the total cost when p=80p = 80 pages and c=120c = 120 copies.

Step 1: Use the given formula for the total cost CC.

C=0.03pc+50C = 0.03pc + 50

Step 2: Substitute the given values p=80p=80 and c=120c=120 into the formula.

C=0.03×80×120+50C = 0.03 \times 80 \times 120 + 50

Step 3: Perform the multiplication and addition.

C=2.4×120+50C = 2.4 \times 120 + 50 C=288+50C = 288 + 50 C=338C = 338

The total cost is GH¢ 338.

C=GH\cent338\boxed{C = \text{GH}\cent 338}

7. (b) If a shopkeeper marks an article 30% above its cost price and sells it at GH¢162.50, what is his cost price?

Step 1: Let the cost price be CPCP. The selling price (SPSP) is the cost price plus a 30% mark-up.

SP=CP+0.30×CPSP = CP + 0.30 \times CP SP=1.30×CPSP = 1.30 \times CP

Step 2: Substitute the given selling price SP=GH\cent162.50SP = \text{GH}\cent 162.50 into the equation.

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