The ratio of 45% of 80% of A to 30% of 40% of B is 15 : 4. If the average of A and B is 67.5, what is the value of A - B ?
Answer & explanation
Correct answer: option 4
Given :-
Ratio of 45% of 80% of A to 30% of 40% of B is 15 : 4
Now , 45% of 80% of A = \(\frac{45}{100}\) × \(\frac{80}{100}\) × A
30% of 40% of B = \(\frac{30}{100}\) × \(\frac{40}{100}\) × B
According to Question ,
\(\frac{45 × 80 × A}{30 × 40 ×B }\) = \(\frac{15}{4}\)
\(\frac{A}{B}\) = \(\frac{3}{4}\)
A : B = 5 : 4
Average of A and B = 67.5
Sum of A and B = 67.5 ×2 = 135
Now , 9R = 135
1R = 15
Difference of A and B = 5R - 4R = 1R
= 15