Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1.  Two patterners A and B invested Rs. 1250/ and Rs.850 in a in a business respectively. Both the patterners distributes 37% of the profits equally and rest of the profit according to their ratio of capital investments. If one partners gets Rs.30 more than other, then what should be the total profit in the business. 
1)  Rs.225  2)  Rs.250 
3)  Rs.275  4)  Rs.280 
5)  None of these 
Answer : Rs.250
Explanation : The ratio of capital of A and B =1250:850 = 25:17
Explanation : The ratio of capital of A and B =1250:850 = 25:17
A and B equally share the total of 37%.
Now, rest 63% is divided in the ratio 25:17.
So, A.T.Q (63/42) x 25  (63/42)x 17 = Rs.30
Or (63/42) x (2517) = (63/42) x 8 = 30
Or (1.5 x 8 ) % = 30
So, total profit =i.e. 100% =12 x 30 =Rs.250
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Q2.  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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Q3. 

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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Q4. 

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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Q5.  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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Q6. 

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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Q7. 

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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Q8. 

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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Q9. 

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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Q10. 

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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