Bissoy.com
Doctors Medicines MCQs Q&A

A, B, C, D and E start a partnership firm. Capital contributed by A is three times that contributed by D. E contributes half of A’s contribution, B contributes one third of E’s contribution and C contributes two third of A’s contribution. If the difference between the combined shares of A, D and E and the combined shares of B and C in the total profit of the firm is Rs. 13500, what is the combined share of B, C and E? (The shares are supposed to be proportional to the contributions)

A, B, C, D and E start a partnership firm. Capital contributed by A is three times that contributed by D. E contributes half of A’s contribution, B contributes one third of E’s contribution and C contributes two third of A’s contribution. If the difference between the combined shares of A, D and E and the combined shares of B and C in the total profit of the firm is Rs. 13500, what is the combined share of B, C and E? (The shares are supposed to be proportional to the contributions) Correct Answer Rs. 18000

Let D’s contribution be x

∴ A’s contribution = 3 × x = 3x

E’s contribution = ½ × 3x = 1.5x

B’s contribution = 1/3 × 1.5x = 0.5x

C’s contribution = 2/3 × 3x = 2x

Total contribution = 3x + 0.5x + 2x + x + 1.5x = 8x

B, C and E contribution = 0.5x + 2x + 1.5x = 4x

Difference between (A + D + E) - (B + C) = 3x + x + 1.5x - 0.5x - 2x = 3x

Share ∝ Contribution

B + C + E contribution/13500 = 4/3

∴ B + C + E contribution = 4/3 × 13500 = Rs. 18000

Related Questions

A, B, C, D and E start a partnership firm. Capital contributed by A is three times that contributed by D. E contributes half of A’s contribution, B contributes one-third of E’s contribution and C contributes two third of A’s contribution. If the difference between the combined shares of A, D and E and the combined shares of B and C in the total profit of the firm is Rs. 13500, what is the combined share of B, C and E? (The shares are supposed to be proportional to the contributions).
Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
3 partners – A, B and C have opened a partnership firm and mutually decided a profit share of each partners. They have decided that A’s profit share is twice of the B’s profit share and C’s share is 1/3rd of the B’s share. If total revenue is Rs. 2,26,129 and total expense is Rs. 1,13,069, then what will be the profit share of B?
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
Dipesh, harjot and lavi invests in a business wherein dipesh contributes 1/8th of the total capital for 1/3rd of time, harjot contributes 1/4th of capital for 1/2 of time and lavi invests remaining capital for full time. If this investment is for 18 months and investment by harjot is Rs. 30000 then find the difference in dipesh’s and lavi’s share of profit if total profit gain% is 19% from total investment made.
A contributes one-third of the capital for one fourth of the time. B contributes half of the capital for one-fifth of the time. C contributes remaining capital for whole time. Calculate their profit-sharing ratio?
P, Q and R have a partnership firm. P’s profit share is 2/3rd of the Q’s profit share and R’s share is 1/2 of the Q’s share. If total revenue is Rs. 43296 and total expense is Rs. 9899, then what will be the profit share of R?
The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. A, B and C are partners in a partnership firm. C got retired and his sons D and E are admitted as partners in the firm. In what ratio the profit will be shared between A, B, D and E? I) D’s and E’s share in the profit is in the ratio 3 ∶ 5 II) Ratio of A, B and C was 1 ∶ 2 ∶ 3 III) A’s share is double than E’s share and B receives Rs. 10500 out of total profit of Rs. 37500.
A sum of Rs. 46,800 is divided among A, B, C and D in such a way that the ratio of the combined share of A and D to the combined share of B and C is 8 ∶ 5. The ratio of the share of B to that of C is 5 ∶ 4. A receives Rs. 18,400. If x is the difference between the shares of A and B and y is the difference between the shares of C and D, then what is the value of (x – y) (in Rs.)?
A, B and C are three partners in a firm. They have decided that A’s share is 1/9th of the total profit. B’s share is 1/3rd of the total profit and C’s share is 1/9th more than the sum of the A and B’s share? If the total profit is Rs. 72000, then What will be the ratio of their profits?