Discussion :: Percentage
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Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Answer : Option A
Explanation :
5 % of A + 4 % of B = \( \frac { 2} { 3 } \) ( 6% of A + 8 % of B)
\( \frac { 1 } { 20 } \) A + \( \frac { 1 } { 25} \) B = A + \( \frac { 4 } { 75} \) B
[\( \frac { 1 } { 20 } \)-\( \frac { 1 } { 25} \) ] A = [ \( \frac { 4 } { 75} \)-\( \frac { 1 } { 25} \)] B
= \( \frac { 100 } { 75} \) = \(\frac { 4 } { 3 } \)
Required ratio = 4 : 3
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