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Q.

If A is 150% of B then B is what percent of A + B?


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a

50%

b

40%

c

30%

d

20% 

answer is B.

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Detailed Solution

Concept- First of all, write A in terms of B by using the relation that A is 150% of B then simplification of this relation between A and B can give. Write A + B in terms of B because we have to find B is what percent of A + B then divide B by A + B and then multiply by 100 to get the answer in percentage.
It is given that Question Image is Question Image of Question Image so writing Question Image in terms of Question Image we get,
Question ImageSimplifying the above relation we get,
Question ImageWriting Question Image in terms of Question Image we get,
Question ImageQuestion ImageWe have asked to find Question Image is what percent of Question Image so we are going to divide Question Image by Question Image then multiply this division by 100 .
Question ImageQuestion ImageWe have asked to find Question Image is what percent of Question Image so we are going to divide Question Image by Question Image then multiply this division by 100
Question ImageQuestion ImageIn the above relation, B will be cancelled out from the numerator and denominator.
Question Image&=40
From the above solution, we have found that Question Image is Question Image of Question Image.
Hence, Question Image is Question Image of Question Image.
Hence, the correct answer is option[2] 2.
 
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