Arithmetichard · Past Paper

Two numbers are in the ratio 2:3. If 20% of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number is:

A100
B150
C50
D40

✓ Correct Answer: A100

Let numbers be 2x, 3x. 0.2(2x) + 20 = 0.1(3x) + 25 => 0.4x + 20 = 0.3x + 25 => 0.1x = 5 => x = 50. Smaller number = 2*50 = 100.

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