Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q541. 

1)  Rs. 400  2)  Rs. 800 
3)  Rs. 1200  4)  Rs.1000 
5)  None of these 
Answer : Rs. 1200
Explanation :
Explanation :
Let the shares of A, B and C be Rs. 5x, Rs. 2x and Rs. 4x respectively.
Then, 5x  4x = 600
or x = 600.
B's share = Rs. 2x = Rs. (2 x 600) = Rs. 1200.
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Q542. 

1)  Rs. 250  2)  Rs. 450 
3)  Rs. 600  4)  Rs. 750 
5)  None of these 
Answer : Rs. 750
Explanation :
Explanation :
Let the ratio of A and B be 3x and 5x respectively.
Or 3x + 5x = 1200
Or 8x = 1200 x = 150
So, 5x= 5 150 =750
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Q543. 

1)  280  2)  240 
3)  270  4)  284 
5)  None of these 
Answer : 280
Explanation :
Explanation :
Let the number of females be x.
According to equation (160 x 4)/3x = 16/21 or x = 280
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Q544. 

1)  17000 and 4500  2)  10000 and 2000 
3)  20000 and 5000  4)  15000 and 1000 
5)  None of these 
Answer : 20000 and 5000
Explanation :
Explanation :
Let, the income of Mohan and Sohan are 7x and 2x respectively.
While their expenditure ratio are 4y and y respectively.
According to equation 7x  4y = 2x  y = 1000
Or 7x  4y = 1000
Or 2x  y = 1000
After solving, we get y = 5000
So, there expenditure are 5000 x 4 = 20000 and 5000 x 1= 5000
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Q545.  If the income of A, B and C is in the ratio of 2:5:11 and the income of B is Rs. 291 more than that of A, then the income of C is 
1)  Rs.907  2)  Rs.1127 
3)  Rs.1067  4)  Rs.1175 
5)  None of these 
Answer : Rs.1067
Explanation :
Explanation :
Let their incomes are in the ratio 2x , 5x and 11x respectively.
According to equation 5x  2x = Rs. 291
Or x = 97
So, Income of C = 11 x 97= Rs.1067
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Q546. 

1)  Rs. 45  2)  Rs. 50 
3)  Rs. 55  4)  Rs. 60 
5)  None of these 
Answer : Rs. 60
Explanation :
Explanation :
(C.P. of 20 pens)  (S.P. of 20 pens) = (C.P. of 8 pens)
C.P. of 12pens = S.P. of 17pens = Rs.720.
C.P. of 1 pens = (720/12) = 60
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Q547. 

1)  16%  2)  18% 
3)  20%  4)  25% 
5)  None of these 
Answer : 25%
Explanation :
Explanation :
Cost Price (C.P.) = Rs. (4500 + 300) = Rs. 4800.
Selling Price (S.P.) = Rs. 6000.
Gain = (S.P.)  (C.P.) = Rs.(6000  4800) = Rs. 1200.
Gain % = = 25%
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Q548. 

1)  Rs.575  2)  Rs.750 
3)  Rs.552  4)  Rs.552 
5)  None of these 
Answer : Rs.552
Explanation :
Explanation :
Given profit is 25%, S.P. = Rs.600
So, C.P. = (600/125)/100 = Rs. 480
So, Initial S.P. = (480/100) x 100 =Rs. 552.
SHORTCUT METHOD:
(600/125) x (115/100) x 100 = 552
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Q549. 

1)  Rs. 72  2)  Rs. 80 
3)  Rs. 76  4)  Rs. 78 
5)  None of these 
Answer : Rs. 80
Explanation :
Explanation :
Let the cost be Rs. x.
According to equation Rs(96  x) = 2(88  x)
Or x = Rs. 80.
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Q550. 

1)  35%  2)  25% 
3)  40%  4)  33% 
5)  None of these 
Answer : 25%
Explanation :
Explanation :
Total number of students in the school = 728
Number of students who come by bus = 162
Number of students who come on bicycle = 384
Adding these two, we get 546.
728 – 546 = 182 students come by walk.
So, % of students who come by walk to the school = (182/728)x 100 = 25%
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