Question

if rs510 be divided among a b c in such way that a gets 2/3 of what b gets and b gets 1/4 of what c gets,then find a's income

Answer 1

Hope it helps you Please mark me as the brainliest

Answer 2

Answer:

A's income is rs 60

Step-by-step explanation:

Given, Rs 510 is divided among a, b, c such that

A gets 2 / 3 of what B gets  , that is

A = $\frac{2}{3}$ B        (Eqn 1)

Similarly,

B gets 1 / 4 of what C gets  , that is

B = $\frac{1}{4}$ C         (Eqn 2)

Representing both the equations in form of ratio,

A : B = 2 : 3

B : C = 1 : 4

Multiplying ratio by 3

B : C = 3 : 12

Thus,

A : B : C = 2 : 3 : 12

From the ratio it is clear that A gets 2 parts of the total share, B gets 3 parts of total share and c gets 12 parts of total share.

Now,

Sum of ratios = 2 + 3 + 12 = 17

Share of A = $\frac{2}{17} * 510$

Share of A = rs 60

Thus,

A's income is rs 60