Two brother invested Rs. 50000 and Rs. 70000 respectively in a busines...
Let total profit = Rs.A
so, 70 % of A= 7A/10
A/Q , the above profit is divided equally , so each brother gets= Rs. (7A/20);
now, remaining profit =(A-7A/10)
=Rs. 3A/10
profit sharing ratio according to the investments =7:5
so, profit of brother with Rs. 70000/- investment =Rs. (7/12*3A/10) =Rs.7A/40
SIMILARY, profit of second brother=Rs.(5/12*3A/10) = Rs. A/8;
total profit first brother is =
Rs.(7A/20+7A/40) = Rs. 21A/40;
SIMILARY, total profit of second brother = Rs. (7A/20+A/8)= Rs.19A/40;
A/Q one brother gets Rs.90/- more than the other
so, ((21A/40)-(19A/40))= 90;
solving, the above equation we get:
Rs. 2A/40=90;
so, A=Rs.1800/-
option (D)
Two brother invested Rs. 50000 and Rs. 70000 respectively in a busines...
Given information:
Two brothers have invested Rs. 50000 and Rs. 70000 respectively in a business. They have agreed that 70% of the profits should be divided equally between them, and the remaining profit will be divided in the ratio of their investments.
Let's assume:
Let the total profit made in the business be P.
Calculating the equal share of profit:
According to the given condition, 70% of the profit will be divided equally between the brothers.
So, each brother will receive (70/100)(P) = 0.7P/2 = 0.35P.
Calculating the remaining profit:
The remaining 30% of the profit will be divided in the ratio of their investments.
The ratio of their investments is 50000:70000 = 5:7.
Let the share of profit received by the brother who invested Rs. 50000 be 5x.
So, the share of profit received by the brother who invested Rs. 70000 will be 7x.
According to the given condition, the brother who invested Rs. 70000 receives Rs. 90 more than the other brother.
Therefore, 7x - 5x = 90
2x = 90
x = 45
Calculating the remaining profit received by each brother:
The brother who invested Rs. 50000 will receive 5x = 5(45) = Rs. 225.
The brother who invested Rs. 70000 will receive 7x = 7(45) = Rs. 315.
Calculating the total profit:
The total profit is the sum of the equal share of profit and the remaining profit received by each brother.
Total profit = 0.35P + Rs. 225 + Rs. 315
Total profit = 0.35P + Rs. 540
According to the question, the total profit made in the business is Rs. 1800.
Therefore, 0.35P + Rs. 540 = Rs. 1800
0.35P = Rs. 1800 - Rs. 540
0.35P = Rs. 1260
P = Rs. 1260/0.35
P = Rs. 3600
Hence, the total profit made in the business is Rs. 3600, which is not one of the given answer options. Therefore, the given answer options are incorrect.