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A is 25% more than B while B is 20% less than C and C is 10% more than D. Which of the following is not true?
Given,
A is 25% more than B while B is 20% less than C and C is 10% more than D
Let the D = 100
Then, C = $$100\times\ \frac{110}{100}=110$$
$$\therefore B=\ 110\times\ \frac{80}{100}=88$$
$$\therefore A=\ 88\times\ \frac{125}{100}=110$$
Lets check option wise :
Option A :
B is 22% less than A :
i.e; Required % = $$\frac{110-88}{110}\times\ 100\ =\ 20\%$$
So, Option A is not true.
Option B :
A is 10% more than D
i.e; = $$\frac{110-100}{100}\times\ 100\ =\ 10\%$$
So, Option B is true
Option C :
B is 12 % less than D :
$$\frac{100-88}{100}\times\ 100\ =\ 12\%$$
So, Option C is true
Option D :
A = C
A = 110 , C = 110
So, Option D is true,
Hence, Option A is not true. that is correct answer.
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