1)

A certain amount is distributed among A, B and C. A gets 3/16 and B gets 1/4 of the whole amount. If C gets Rs. 81, then B gets :

A) Rs.30

B) Rs.32

C) Rs.36

D) Rs.40

Option C

### Explanation:

Let the total amount be x
Then, A gets 3/16 of x = 3x/16
B gets 1/4 of x = x/4
C got 81
Therefore total amount = $\frac{3x}{16}+\frac{x}{4}+81 = x$
Solving this equation,
$\frac{3x+4x+1296}{16}=x$
$3x+4x+1296=16x$
$9x=1296$
x = 144
Therefore B gets, 1/4 of total amount = 144/4 = 36