## Friday, 7 August 2015

1.  A,B and C entered into partnership in a business. A got 3/5 of the profit. B and C distributed the
remaining profit equally. If C got Rs.400 less than A, the total profit was
1) Rs.1600  2) Rs.1200  3) Rs.1000  4) Rs.800  5) None of these
Solution:(3).
Let the total profit be Rs.x
Then, A’s share in profit = Rs. 3/5 x
Remaining profit = x – 3/5x = (5x-3x)/5 = 2x /5
Therefore B’s share in profit = Rs. x/5
C’s share in profit = Rs. x/5
According to the question,
( 3x/5 - x/5) = 400
2x/5 = 400; x = (400 x 5) / 2 = Rs. 1000

2. Sonu invested 10% more than the investment of Mona and Mona invested 10% less than the
investment of Raghu. If the total investment of all the three persons is Rs.5780, find the investment of
Raghu.
1) Rs.2010  2) Rs.2000  3) Rs.2100  4) Rs.2210  5) None of these
Solution: (2).
Let share of Raghu be 100. Then share of Mona = 90 and share of Sonu = 99
Sonu : Mona : Raghu = 99 : 90 : 100
Therefore Investment of Raghu
= 5780 / ( 99 + 90 + 100) x 100
= 5780/289 x 100 = Rs.2000

3. Anil is an active and Vimal is a sleeping partner in a business. Anil invests Rs.12000 and Vimal
invests Rs.20000. Anil receives 10% profit for managing, the rest being divided in proportion to their
capitals. Out of the total profit of Rs.9000, the money received by Anil is
1) Rs.4500  2) Rs.4800  3) Rs.4600  4) Rs.3937.50  5) None of these
Solution: (4).
For management, money received by Anil = 10% of 9000 = Rs.900
Balance = Rs.( 9000 – 900) = Rs.8100
Now,ratio of investments = 12000 : 20000 = 3 : 5
Therefore Anil’s share = Rs.8100 x 3 / 3+5
= Rs.8100 x 3/8 = Rs.3037.50
Therefore amount received by Anil = Rs.900 + 3037.50 = Rs.3937.50

4. Amitabh, Brijesh and Kamlesh enter a partnership with shares in the ratio of 7/2 : 4/3: 6/5.After 4
months, Amitabh increases his share by 50% . If the total profit at the end of the year be Rs.21600, what
will be the share of Brijesh in the profit?
1) Rs.8000  2) Rs.12000  3) Rs.4000  4) Rs.7000  5) None of these
Solution: (3).
Given, ratio = 7/2 : 4/3 : 6/5
= 7/2 x 30 : 4/3 x 30 : 6/5 x 30
= 105:40:36
Let investment of Amitabh = 105x
Investment of Brijesh = 40x
Investment of Kamlesh = 36x
Ratio of their investments
= [ 105x * 4 +150% * 8 of 105x] : 40x * 12) : (36x * 12)
= ( 420x + 150/100 * 105x * 8) : ( 480x) : (432x)
= (1680x) : (480x) : (432x)
= 35 : 10:9
Therefore Brijesh’s share
= ( 21600 * 10/ 35+10+9)
= (21600 * 10/54) = Rs.4000

5. A and B started a business with Rs.20000 and Rs.35000 respectively. They agreed to share the
profit in the ratio of their capital . C joins the partnership with the condition that A,B and C will share
profit equally and pays Rs.220000 as premium for this, to be shared between A and B . This is to be
divided between A and B in the ratio of
1) 10:1  2) 1:10  3) 9:10  4) 10:9  5) None of these
Solution: (1).
Ratio of total capital of A and B
= 20000 x 12 : 35000 x 12
= 240000 : 420000
Now, C gives Rs.220000 to both make the capital equal.
Therefore A’s capital : B’s capital
= 240000 : 420000 + 200000 : 20000
______________
440000 : 440000
If A takes Rs.200000 and B takes Rs.20000 from C, then both have the equal capital.
Therefore required ratio of divided amount
= 200000 : 20000
20 : 2 = 10:1
Hence, A and B should divide the amount in the ratio of 10 : 1
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