Let C = x.
Then B = x/2
and A = x/4
A:B:C = 1:2:4.
C's share Rs.[(4/7)*700) = 400
A : B = 3 : 2 => B : A = 2 : 3 = 4 : 6 and A : C = 2 : 1 = 6 : 3.
So, B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3.
B's share = Rs. (157300 x 4/13 ) = Rs. 48400.
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.
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
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 O's share = Rs. P
=> N's share =
M's share =
Given A & B in partnership
A Invests 116000 for 12 months
=> A's share = 116000 x 12 = 13,92,000
B Invests for 6 months
=> B's share = 144000 x 6 = 8,64,000
Their Ratio = 1392 : 864 = 29 : 18
Let the Annual profit = P
Given B's share = Rs. 9000
=> 18/47 x P = 9000
=> P = 9000 x 47/18
=> P = 23,500
Hence, Overall profit = P = Rs. 23,500
The ratio of A & B investments = (3x8 + 2x4):(4x8 + 5x4)
=> 8:13
=> 8/21 x 630 = 240.
Let the amounts to be received by P, Q and R be p, q and r.
p + q + r = 1200
p = 1/2 (q + r) => 2p = q + r
Adding 'p' both sides, 3p = p + q + r = 1200
=> p = Rs.400
q = 1/3 (p + r) => 3q = p + r
Adding 'q' both sides, 4q = p + q + r = 1200
=> q = Rs.300
r = 1200 - (p + q) => r = Rs.500.
Ratio of profit of Rohith and Puneeth = 3600 x 12 : 2400 x P
= 3600 x 12/2400P = 2/1
=> P = 9
So, Puneeth joined the business after (12 - P) = 12 - 9 = 3 months.
Interest received by L from K = 8% of half of Rs.40,000
Amount received by L per annum for being a working partner = 1200 x 12 = Rs.14,400
Let 'A' be the part of remaing profit that 'L' receives as his share.
Total income of 'K' = only his share from the reamaing profit
= 'A', as both share equally.
Given income of L = Twice the income of K
--> (1600 + 14400 + A ) = 2A
--> A= Rs.16000
Thus total profit = 2A + Rs.14,400= 2(16000) + 14400
= 32000 +14400 = Rs.46,400.
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