Question 18

A is 25% more than B and B is 40% less than C. If C is 30% more than D, then by what percent is A less than D?

Solution

Let the D be x.
C = 1.3x
B = 60% of C = 1.3x $$\times \frac{60}{100} = 0.78x
A = 0.78x $$\times \frac{125}{100} = 0.975x
Required percentage = $$\frac{x - 0.975x}{x} \times 100 = \frac{0.025x}{x} \times$$ 100 = 2.5%


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