Interest received by A from B = 10% of half of Rs.50000 = 10% of Rs. 25000 = Rs.2500.
Amount received by A per annum for being a working partner = 1500 x 12 = Rs.18000
Let 'P' be the part of the remaining profit that A receives as his share.
So,total income of A = (Rs.2500 + Rs.18000 + Rs. P )
Total income of B = only his share from the remaining profit = 'P', as A and B share the remaining profit equally.
We know that income of A = Twice the income of B
So, (2500 + 18000 + P ) = 2(P)
P = 20500
Thus, the total profit = 2P + Rs.18000
= 2(20500) + 18000 = Rs.59000.
Ratio of their shares = 22500 : 35000 = 9 : 14.
Deepak's share = Rs. (13800 * 14/23) = Rs. 8400.
A:B:C = (10×7):(12×5):(15×3)
= 70 :60 :45
= 14 :12 :9
C's rent = Rs.(175×9/35)
=Rs. 45.
Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .
A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.
Hence, C's share (4650 * 6/31) = Rs, 900.
Suppose B joined for x months . Then, ( 85000 * 12 )/(42500 * x) = 3. or x = (85000 * 12) / (42500 * 3) = 8.
So, B joined for 8 months.
Let the total profit be Rs. z. Then,
B's share = Rs. 2z/3, A's share = Rs. ( z - 2z/3 ) = Rs. z/3.
A : B = z/3 : 2z/3 = 1:2
Let the total capital be Rs, X and suppose B's money was used for x months. Then.
(1(x) / 4 * 15) / (3x) / 4 * y) = 1/2 <=> y = (15 * 2 / 3) = 10 .
Thus, B's money was used for 10 months.
A : B : C = 500 : 300 : 200 = 5 : 3 : 2.
Let their capitals be 5x, 3x and 2x respectively.
Then, 5x = 10000
=> x = 2000.
C's capital = 2x = Rs. 4000.
Suppose B invested Rs. x for y months. Then, A invested Rs. 3x for 2y months.
So, A : B = (3x * 2y) : (x * y) = 6xy : xy = 6 : 1.
B's profit : Total profit = 1 : 7.
Let the total profit be Rs. x Then, 1/7 = 4000/x or x = 28000.
Let the total profit be Rs. x. Then, B = 2x/7 and A = (x - 2x /7) = 5x / 7.
So, A : B = 5x/7 : 2x/7 = 5 : 2.
Let B s capital be Rs. y. Then, (16000 * 8) / ( y * 4) = 5/2 <=> (16000 * 8 * 2) / (5 * 4) = 12800..
Sekar: Rajeev: jatin = (25000×12+35000×12+45000×12):(35000×24) : (35000×12)
= 1260000 : 840000 : 420000
= 3 : 2 : 1.
Rajeev's Share =Rs.(150000×2/6)
=Rs.50000.
Simran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.
Simran's share = Rs. ( 24500 * 3/7) = Rs. 10500.
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