A, B and C started a business where their initial capital was in the ratio of 4:5:6. At the end of 8 months, A invested an amount such that his total capital became half to C’s initial capital investment. If the annual profit of B is Rs. 7500 then what is the total profit ?
Answer: C
Initial Ratio 4:5:6
Now, 4*8 +3*4 : 5*12 : 6*12
44:5*12 :6*12 ==> 11:15:18.
B’s share is Rs 7500
i.e. 15 7500
(11+15+18)44 ? ==>22000
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X, Y and Z enter into a partnership and theirs shares are in the ratio 1/2 : 1/3 : 1/4. After two months, X withdraws half of his capital and after 10 months, a profit of Rs.420 is divided among them. What is Y’s share?
Answer: C
Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.
Let their initial investments be 6x, 2x and 3x respectively.
Ratio (6x * 2) + (3x * 10) : (4x * 12) : (3x * 12) = 42 : 48 : 36 ==>7 : 8 : 6.
B’s share = 420 * 8/21 = Rs. 160.
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M and N are partners in a firm out of which M is sleeping partner and N is working partner. M invests Rs. 1,80,000 and N invests Rs. 90,000. N receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. M’s share in the profit of Rs. 24000 is ?
Answer: D
Profit received by N as working partner = 14.5% of Rs. 24000 = Rs. 3480
Balance in profit = 24000 - 3480 = Rs. 20520
Ratio of M and N =1,80,000 : 90,000 ==>2:1
Then M’s share 3 20520 2 ? Rs 13680
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Rupam and Ankita invest in a business in the ratio \(3 : 2.\) If \(5\)% of the total profit goes to charity and Rupam's share is \(Rs. 855,\) the total profit is:
Answer: B
Let the total profit be \(Rs. 100.\)
After paying to charity, Rupams's share \(= rs. (95 \times \frac{3}{5}) = Rs. 57.\)
If Rupam's share is \(Rs. 57,\) total profit \(= Rs. 100.\)
If Rupam's share \(Rs. 855,\) total profit \(= (\frac{100}{57} \times 855) = 1500.\)
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P and Q invested in a business. They earned some profit which they divided in the ratio of 2:3. If P invested Rs.30000, the amount invested by Q is
Answer: C
30,000 : Q = 2 : 3
Q = 90,000/2 = 45,000
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The investment of A is twice as that of B and thrice as that of C. B invested for twice the months than A and thrice the months than C. Who will earn the highest profit?
Answer: D
Investment ratio 6:3:2
Month ratio 3:6:2
Then 6*3 : 6*3 : 2*2
18:18:4==>9:9:2
Both A and B gets equal and highest profits.
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P start a business with Rs. 10000, Q joins him after 2 month with 20% more investment than P, after 2 month R joins him with 40% less than Q. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of P and ten times the investment of R. Find the profit of Q ?
Answer: C
P : Q : R = (10000 × 12) : (12000 × 10) : (7200 × 8) = 25 : 25 : 12
Now the Profit = 2 × (72000-10000) = 124000
Q’s share 25/62*12400=Rs 50000
Then profit of Q = 50000 - 12000 = Rs 38000.
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A, B and C start a business and their investments are in the ratio 4 : 3 : 6. Both A and B starts the business and C joins them after 6 months. It was decided that C will get a monthly salary of Rs 600 from the annual profits. C’s total salary came out to be 10% of the annual profit after a year. What is the share of B in the total profits?
Answer: B
C’s monthly salary Rs 600.
Then annual salary =600*6=3600 (Because he work for 6 month only)
Rs 3600 is 10% of total profit.
Then total profit is Rs 36000.
Ratio of their shares 4*12 : 3*12 : 6*6 = 4:3:3
Profit left after reducing salary of C = 36,000 – 3,600 = 32,400
B’s share 3/10*32400 = Rs 9720.
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Naveen and Kannan jointly started a business. Naveen invested four times as Kannan did and invested his money for double time as compared to Kannan. Kannan earned Rs. 5400. Then the total gain was ?
Answer: B
Investments ratio is = 4:1
Time period ratio is = 2:1
Gain ratio of Naveen and Kannan = 8:1
Kannan got Rs. 5400,
1 5400 9 ? ==> Rs 48600
The total gain = Rs 48600
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If 8 (P’s Capital ) = 10 ( Q’s Capital ) = 12 ( R’s Capital ) , then out of the total profit of Rs 2590 , R will receive ?
Answer: C
8p = 10q = 12r
4p = 5q = 6r
q = 4p/5
r = 4p/6 = 2p/3
P : Q : R = p : 4p/5 : 2p/3
15:12:10 R’s share = 2590 * (12/37) = 70*12 = Rs. 840.
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