A : B : C = 7 : 8 : 11.
Hire charges paid by B = Rs. (520 * 8/26) = Rs. 160.
Ratio of investments of A, B & C =>
Share of C = 1530
Share of B = 765
Share of A = 1020
P : Q = 85000 : 15000 = 86 : 15 = 17 : 3 .
Let B's capital be Rs. x.
Then,
=> 14x = 126000
=> x = 9000.
Ratio of investments of A, B & C = 2×6+4×6 : 3×12 : 4×12
= 36 : 36 : 48
= 6 : 6 : 8
But given that the annual profit of B is Rs. 3000
=> 6 ratio = 3000
Then for the total annual profit of partners is
20 ratio = 3000 x 20/6 = 10,000.
Let C = x. 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 * 21/50 ) = Rs. 14,700.
Let the ratio amount be 'p'
7p - 3p = 2700
4p = 2700
p = 675
R's Share = 675 × 6 = Rs. 4050
Let O's share = Rs. P
=> N's share =
M's share =
Given ratio of initial investments = = 105 : 40 : 36.
Let the initial investments be 105x, 40x and 36x.
= 1680x : 480x : 432x = 35 : 10 : 9.
Hence, B's share = = Rs. 4000.
Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively.
Then, 12x : 8y : 6z = 4 : 6 : 8
Now, 12x/8y = 4/6 <=> 9x=4y <=> y=9x/4
And, 12x/6z = 4/8 <=> 4x=z <=> z=4x
Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16
Let the amount invested by saketh = RS. p
Now, that of sandeep = 20,000 x 6
saketh = 12 x p
Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000)
=>
Hence, the amount investe by saketh = Rs. p = Rs. 5000.
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