A & B started a business together in a partnership. B left the business in 8 months at the end of the year profit is rs 4000, out of which profit of B is 3000 the investment of B is how much percentage more than the investment of A.?
Answers
Answer:
A and B started a business in partnership by together investing Rs. 12 lakhs.
After 4 months, C joined them by investing Rs. 5 lakhs.
After 2 more months, A increased his investment by 50%, while B withdrew Rs. 2 lakhs from his investment.
If the profit received by C is (50/3)% less than that of B.
Let's assume
Let the initial investment of A be Rs. ‘x’ lakhs
⇒ B’s initial investment = Rs. (12 - x) lakhs
A increased his investment by 50% after 4 + 2 = 6 months,
⇒ A’s actual investment = (x × 6) + (1.5 × x × 6) = 6x + 9x = 15x
B withdrew Rs. 2 lakhs from his investment after 4 + 2 = 6 months,
⇒ B’s actual investment = [(12 - x) × 6] + [(12 - x - 2) × 6] = (22 - 2x) × 6 = (132 - 12x)
C invested Rs. 5 lakhs after 4 months,
⇒ C’s actual investment = (5 × 8) = 40
∵ Ratio of profit shares = Ratio of actual investments
⇒ Ratio of profit shares of A, B & C = 15x ∶ (132 - 12x) ∶ 40 ----(1)
Now,
C’s profit share = (100 - 50/3)% of B’s share
⇒ C’s profit share = (1 - 1/6) of B’s share
⇒ C’s profit share/B’s profit share = 5/6
Substituting from (1),
⇒ 40/(132 - 12x) = 5/6
⇒ 48 = 132 - 12x
⇒ 12x = 84
⇒ A’s initial investment = x = 84/12 = Rs. 7 lakhs
⇒ B’s initial investment = (12 - x) = 12 - 7 = Rs. 5 lakhs
∴ Required difference = 7 - 5 = Rs. 2 lakhs
Answer:
350%
Step-by-step explanation:
Let the investments of A and B are Rs. x and Rs. y respectively.
Ratio of Profit A : B = (4000 – 3000) : 3000 = 1 : 3 = x × 12 : y × 8
⇒1/3 = 12x/8y
⇒ 8y = 36x
⇒ y = 4.5x
Required percentage = 100 = 350%