A, B and C divide a certain sum of money among themselves. The average of the amounts with them is ₹4520. Share of A is $10 \frac{2}{3} \%$ more than share of B and $33 \frac{1}{3} \%$ less than share of C. What is the share of B (in ₹) ?
Answer & explanation
Correct answer: option 3
Average of amount = $\frac{total\; sum}{3}$
⇒ $\frac{total\; sum}{3}$ = Rs 4520
⇒ Total sum = 4520 x 3 = Rs 13560
Share of A = 10$\frac{2}{3}$% more than that of B
= 33$\frac{1}{3}$% less than that of C
10$\frac{2}{3}$% = $\frac{8}{75}$
33$\frac{1}{3}$% = $\frac{1}{3}$
Ratio of amount = B : A : C
75 : 83 : --
-- : 2 : 3
______________
75 x 2 : 83 x 2 : 83 x 3
B : A : C = 150 : 166 : 249
According to the question,
Total sum = 565R = 13560
⇒ R = 24
Share of B = 150 x 24 = Rs 3600