. A and B started a business with a capital of Rs. 29X and Rs.82000 . if A gets 20% profit in salary & share of A is more thanB. Had the entire profit being divided in the ratio they invested , B would have received Rs.5200 more than A’s share. If the earning of A & B are Rs. 16800 and Rs.11,200. Find X ?
Answers
Answer:
2658.73
Step-by-step explanation:
Step-by-step explanation:
20% of the profit = 16800
The total profit from their investment is therefore:
100/20 × 16800 = 84000
If the profit was divided in the ratio of their share in investment then:
The ratio is as follows:
A : B = 29x : 82000
The share of A will be :
29x/(29x + 82000) × 84000 = {84000(29x)} / (29x + 82000)
The share of B will be:
82000/(29x + 82000) × 84000 = (84000 × 82000) / (29x + 82000)
To make it easier we divide it by 1000.
(84 × 82)/(0.029x + 82) - (84 × 0.029x)/(0.029x + 82) =
(6888 - 2.436x) / (0.029x + 82) = 5200/1000
6888 - 2.436x = 5.2(0.029x + 2)
6888 - 2.436x = 0.1508x + 10.4
6888 - 10.4 = 2.436x + 0.1508x
6877.6 = 2.5868x
x = 6877.6/2.5868
x = 2658.73
Step-by-step explanation:
Total profit = 16800+11200 = 28000
B = 11200+5200 = 16400
A = 11600
29x/82000 = 11600/16400
x = 2000