Math, asked by ajaydevangan26, 3 months ago

A, B, C and D have different salaries. The salary of A is equal to the avg salary of remaining three persons. The salary of B is 25% of the total salaries of B, C and D. Salary of C is 10000 more than that of D. If avg of salary of A and D is 23000. Then fine the salary of C.


Solution plz​

Answers

Answered by mpkpazhanirajan1002
0

Answer:

Step-by-step explanation:

Solution by revathi

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Answered by RvChaudharY50
1

Answer :-

Let us assume that, the salaries of A , B , C and D are Rs.A , Rs.B , Rs.C and Rs.D respectively,

so,

→ A = (B + C + D)/3

→ 3A = B + C + D --------- Eqn.(1)

also,

→ B = 25% of (B + C + D) = (1/4) of (B + C + D)

→ 4B = B + C + D

→ 3B = C + D --------- Eqn.(2)

putting value of Eqn.(2) in Eqn.(1)

→ 3A = B + 3B

→ 3A = 4B ------------ Eqn.(3)

now, given that,

→ C = Rs.(D + 10000)

→ 3B = (D + 10000 + D)

→ 3B = (2D + 10000) ----------- Eqn.(4)

also,

→ A + D = 46000

→ D = (46000 - A) ---------- Eqn.(5)

putting in Eqn.(4)

→ 3B = 2(46000 - A) + 10000

→ 3B = 92000 - 2A + 10000

→ 3B = 102000 - 2A

putting in Eqn(2),

→ 102000 - 2A = C + D

→ 102000 = 2A + C + D .

→ C + D = (102000 - 2A)

putting in Eqn.(1) ,

→ 3A = B + (102000 - 2A)

→ 5A = B + 102000

putting value from Eqn.(3),

→ 5(4B/3) = B + 102000

→ 20B = 3B + 306000

→ 17B = 306000

→ B = Rs.18000 .

then,

→ A = (4B / 3) = (4 * 18000)/3 = Rs.24000 .

therefore, putting in Eqn.(5),

→ D = 46000 - 24000 = Rs.22000

hence,

→ C = (2D + 10000) = (2*22000 + 10000) = Rs.54000 (Ans.)

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