= 48 : 32 : 64
= 3 : 2 : 4.
∴ Kamal's share = Rs. | ❨ | 4005 x | 2 | ❩ | = Rs. 890. |
9 |
A : B : C = (3x x 12) : (5x x 12) : (5x x 6) = 36 : 60 : 30 = 6 : 10 : 5.
∴ B's share = Rs. | ❨ | 25000 x | 3 | ❩ | = Rs. 7,500. |
10 |
Then, | ❨ | 3500 x 12 | = | 2 | ❩ |
7x | 3 |
⟹ 14x = 126000
⟹ x = 9000.
Ratio of initial investments = | ❨ | 7 | : | 4 | : | 6 | ❩ | = 105 : 40 : 36. |
2 | 3 | 5 |
Let the initial investments be 105x, 40x and 36x.
∴ A : B : C = | ❨ | 105x x 4 + | 150 | x 105x x 8 | ❩ | : (40x x 12) : (36x x 12) |
100 |
= 1680x : 480x : 432x = 35 : 10 : 9.
Hence, B's share = Rs. | ❨ | 21600 x | 10 | ❩ | = Rs. 4000. |
54 |
After paying to charity, A's share = Rs. | ❨ | 95 x | 3 | ❩ | = Rs. 57. |
5 |
If A's share is Rs. 57, total profit = Rs. 100.
If A's share Rs. 855, total profit = | ❨ | 100 | x 855 | ❩ | = 1500. |
57 |
∴ C's rent = Rs. | ❨ | 175 x | 9 | ❩ | = Rs. 45. |
35 |
Then, | ❨ | 85000 x 12 | = | 3 | ❩ |
42500 x x | 1 |
⟹ x = | ❨ | 85000 x 12 | ❩ | = 8. |
42500 x 3 |
So, B joined for 8 months.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
⟹ 3x = 36000
⟹ x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
∴ A's share = Rs. | ❨ | 35000 x | 21 | ❩ | = Rs. 14,700. |
50 |
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now, | 14x | = | 5 | ⟺ 98x = 40y ⟺ y = | 49 | x |
8y | 7 | 20 |
And, | 14x | = | 5 | ⟺ 112x = 35z ⟺ z = | 112 | x = | 16 | x. |
7z | 8 | 35 | 5 |
∴ x : y : z = x : | 49 | x | : | 16 | x | = 20 : 49 : 64. |
20 | 5 |
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