A, B and C start a business with a sum of 50,000. A invests 4,000 more than B and B invests 5,000 more than C. What will be A's share if total profit is * 35,000 ?
(1) 36,000
(3) 35,490
(5) None of these
(2) 35,000 (4) 36,500
Answers
Answer:
None of these
Share of A is 14,700.
Step-by-step explanation:
Let,
C invests = x
B invests = x + 5,000
A invests = x + 5,000 + 4,000 = x + 9,000
★ According to the Question :
⇒ x + (x + 5,000) + (x + 9,000) = 50,000
⇒ 3x + 14,000 = 50,000
⇒ 3x = 50,000 - 14,000
⇒ 3x = 36,000
⇒ x = 36,000 / 3
⇒ x = 12,000
C's Share in the business = 12,000
B = x + 5,000
⇒ x + 5,000
⇒ 12,000 + 5,000
⇒ 17,000
B's Share in the business = 17,000
A = x + 9,000
⇒ x + 9,000
⇒ 12,000 + 9,000
⇒ 21,000
A's Share in the business = 21,000
Ratio of A : B : C = 21 : 17 : 12
Total profit = 35,000
Share of A =
⇒ 21/50 × 35,000
⇒ 14,700
Therefore, Share of A is 14,700.
Answer:
14700 { option(5) None of these }
$tep-by-step explanation:
A + B + C = 50000 ————(1)
A = B + 4000. i.e. B = A - 4000 ————(2)
C = B - 5000, by substituting (2)
C = A - 4000 - 5000
i.e. C = A - 9000————(3)
Substituting (2) and (3), (1) becomes,
A + A - 4000 + A - 9000 = 50000
3A - 13000 = 50000
3A = 63000
The contribution of A= Rs. 21000
Total profit = Rs. 35000
Therefore A's profit share is,
(21000/50000) * 35000
Rs. 14700