Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1.  Two partners invested Rs.20,000 and Rs.12,000 respectively in a business.They distribute 75% of the profit equally and distribute the rest 25% according to the ratio of their investment of capitals. If the bigger partner received Rs.400 more than the other, then what is the total profit ? 
1)  Rs.5280  2)  Rs.5600 
3)  Rs.6240  4)  Rs.6400 
5)  None of these 
Answer : Rs.6400
Explanation : Since, 75% of the profit is distributed equally ,rest 25% should be distributed according to their ratio of investment.
Explanation : Since, 75% of the profit is distributed equally ,rest 25% should be distributed according to their ratio of investment.
Actual, ratio of capital = 20000:12000 = 5:3
5/8  3/8 = 400
or 2/8 = 1/4 = 400
or 1 = 4 x 400 = 1600 i.e. 25%
So, total profit = 400 x 4 x (1/25) x 100 = 6400
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Q2. 

1)  Rs.820  2)  Rs.890 
3)  Rs.1020  4)  Rs.1250 
5)  None of these 
Answer : Rs.890
Explanation :
Explanation :
A : B : C = (8,000 x 6) : (4,000 x 8) : (8,000 x 8) = 48 : 32 : 64 = 3 : 2 : 4.
B's share = ( Rs. 4005/9) x 2 = Rs. 890.
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Q3. 

1)  Rs.1200  2)  Rs.1250 
3)  Rs.1450  4)  Rs.1500 
5)  None of these 
Answer : Rs.1500
Explanation :
Explanation :
Let, the total profit be Rs. 100.
After paying to charity, A's share = (Rs. 95 /5)x 3 = Rs. 57.
If A's share is Rs. 57, total profit = Rs. 100.
If A's share Rs. 855, total profit = ( 855/57) x100 = 1500
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Q4.  A,B and C are three partners starts for a business. A invested Rs.25,000 in 2006. In 2007, he again invested an additional amount of Rs.10,000 and B joined with him Rs.35,000. In 2008, A invested another additional Rs.10,000 and C joined with them with an amount of Rs.35,000. If the total profit after end of three year is Rs.1,50,000 , then what is the share of the profit of B ? 
1)  Rs.25,000  2)  Rs.30,000 
3)  Rs.50,000  4)  Rs.75,000 
5)  None of these 
Answer : Rs.50,000
Explanation : The share of the investment of three A,B and C =
Explanation : The share of the investment of three A,B and C =
[25,000 x 12 + 35,000 x 12 + 45,000 x 12 ] : [35 x 24] : [35 x 12] = 3:2:1
So, B's share =(1,50,000/6) x 2 = Rs.50,000/.
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Q5. 

1)  Rs.1800  2)  Rs.3300 
3)  Rs.3350  4)  Rs.3375 
5)  None of these 
Answer : Rs.3300
Explanation :
Explanation :
Calculate the equivalent capital for 1 month for each :
A's capital = Rs. (20002)) = Rs. 24000
B's capital = Rs. (30004 + 40008) = Rs. 44000
C's capital = Rs. (40009 + 30003) = Rs. 45000
Ratio of capitals : 24000 : 44000 : 45000 = 24 : 44 : 45
B's share = Rs .(8475 X 44 )/11 = Rs.3300
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Q6. 

1)  Rs.300  2)  Rs.330 
3)  Rs.430  4)  Rs,560 
5)  None of these 
Answer : Rs.330
Explanation :
Explanation :
Let A invest Rs. 4 & B invest Rs.5. A withdraws (1/4) x 4 = Rs.1
B withdraws (1/5) x 5= Rs. 1
Calculating the equivalent capital for 1 months :
A’s capital = Rs. (43 + 37) = Rs. 33
B’s capital = Rs. (53 + 47) = Rs. 43
Ratio of capitals = 33 : 43
A’s share = Rs.(760 x 30) /76 =Rs.330
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Q7. 

1)  Rs.1900  2)  Rs.2660 
3)  Rs.2800  4)  Rs.2840 
5)  None of these 
Answer : Rs.2660
Explanation :
Explanation :
For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400  370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000 = 13 : 14 : 10
B's share = (7030 x 14/21 ) = Rs. 2660.
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Q8. 

1)  Rs.570  2)  Rs.650 
3)  Rs.600  4)  Rs.630 
5)  None of these 
Answer : Rs.570
Explanation :
Explanation :
Profit should be divided among the partners in ratio of their investments
The ratio of A, B and C's share = 3800 : 4200 : 4000 = 19 : 21 : 20
A's share = Rs.(1800 x 19)/60 = Rs.570
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Q9. 

1)  Rs.8400  2)  Rs.11,900 
3)  Rs.13,600  4)  Rs.14,700 
5)  None of these 
Answer : Rs.14,700
Explanation :
Explanation :
Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
Or 3x = 36000
Or x = 12000
Then, A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12.
Thus,A's share = ( 3500 x 21/50) Rs. = Rs. 14,700.
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Q10. 

1)  Rs.1900  2)  Rs.2000 
3)  Rs.2300  4)  Rs.2600 
5)  None of these 
Answer : Rs.2300
Explanation :
Explanation :
Nirmal : Kapil = 9000 x 12 : 12000 x 6 + 6000 x 6 = 1 : 1. So, Kapil's share = Rs. (4600 x 1 / 2) = Rs. 2300.
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