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
Answer:
Step-by-step explanation:
Solution by revathi
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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