Advanced Mathematics Primary 6 Percentage

A square photograph has its length increased by 25% and its breadth decreased by 25%. The area of the photograph after the change is 1 500 cm². Find the original area, in cm².

A 1 600
B 1 875
C 1 500
D 2 000
Show Worked Solution

Worked Solution

Step 1: Length × 1.25, breadth × 0.75. Combined area factor = 1.25 × 0.75 = 0.9375. Step 2: New area = 0.9375 × original = 1 500. Step 3: Original = 1 500 ÷ 0.9375 = 1 600 cm². Answer: 1 600

Correct answer: 1 600

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