Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1. 

1)  Rs.5750  2)  Rs.6400 
3)  Rs.6090  4)  Rs. 7500 
5)  None of these 
Answer : Rs.6090
Explanation :
Explanation :
Short Cut Methods:
C.P = 600/(2515) x 100 = 6000
So, S.P = 6000 x 115/100 = Rs.6900
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Q2. 

1)  200 litre  2)  250 litre 
3)  300 litre  4)  400 litre 
5)  None of these 
Answer : 300 litre
Explanation : Let, the milkman buy x liter of milk.
Explanation : Let, the milkman buy x liter of milk.
He sells at at rupees 16 a liter.
SP_{1 }= Rs.16x, but losses Rs.600/
If he sells at 20 a liter, the SP_{2} = Rs.20x , but gains Rs.600/
Difference in SP = Rs.20x  Rs.16x = Rs.4x
Difference in actual SP = Rs.600 + Rs.600 = Rs.1200
So, 4x = 1200
or x = 1200/4 = 300
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Q3. 

1)  4 : 5  2)  5 : 4 
3)  3 : 2  4)  Data Inadequate 
5)  None of these 
Answer : 5 : 4
Explanation :
Explanation :
C.P. = S.P.  Profit
or C.P. = 5 1 = 4
or S.P. : C.P. = 5 : 4
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Q4. 

1)  20 %  2)  24 % 
3)  25 %  4)  33.33 % 
5)  None of these 
Answer : 20 %
Explanation : Let, C.P of each article is Rs.1/.
Explanation : Let, C.P of each article is Rs.1/.
So, C.P of 20's articles = Rs.20/ and C.P of 4's articles = Rs.4/ i.e. profit
We know that, S.P = C.P + Profit = 20 + 4 = Rs. 24/
Therefore, % of profit = (4/20) x 100 = 20%
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Q5.  A vendor sells 20 articles and gets a profit which is equal to selling price of 4 articles. What is the percentage of profit in this transaction ? 
1)  20 %  2)  24 % 
3)  25 %  4)  33.33 % 
5)  None of these 
Answer : 25 %
Explanation : Let, S.P of each article is Rs.1/.
Explanation : Let, S.P of each article is Rs.1/.
So, S.P of 20's articles = Rs.20/ and S.P of 4's articles = Rs.4/ i.e. profit
We, know that C.P = S.P Profit = 20  4 = Rs. 16/
Therefore, % of profit = (4/16) x 100 = 25%
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Q6.  The profit earned by selling an article for Rs.744 is double the loss incurred when the same article is sold for Rs.240. What would the selling price of the article if it is sold at 15% profit ? 
1)  Rs.472.20  2)  Rs.469.80 
3)  Rs.468.20  4)  Rs.479.20 
5)  None of these 
Answer : Rs.469.80
Explanation : Let, the C.P be Rs.x.
Explanation : Let, the C.P be Rs.x.
Then, according to the question, 744  x = 2(x240)
or 744  x = 2x  480
or 3x = 744 + 480 =1224
or x = 1224/3 = Rs.408
So, required S.P = 408 X (115/100 ) = Rs.469.20
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Q7. 

1)  5%  2)  6% 
3)  8%  4)  9% 
5)  None of these 
Answer : 8%
Explanation : Total cost price of the car after repair = Rs.(6000+500 ) = Rs.6500
Explanation : Total cost price of the car after repair = Rs.(6000+500 ) = Rs.6500
S.P = Rs.7020
Profit = Rs.7020  Rs.6500 = Rs.520
So, percentage of profit = (520/6500) x 100 = 8%
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Q8.  A shopkeeper marked an article at 40% above the cost price. He, then sold it after offering a discount of 30%. If he made a loss of Rs.60, find his selling price (in Rs.) 
1)  Rs.2500  2)  Rs.2840 
3)  Rs.2940  4)  Rs.3000 
5)  None of these 
Answer : Rs.2940
Explanation : Let, the C.P be Rs.x.
Explanation : Let, the C.P be Rs.x.
After, 40% above the CP, the M.P be 1.4x.
Now, he sells it at 30% discount.
Then, the S.P would be (1.4x ) x 70/100 = 0.98x
So, x  0.98x = Rs.60
Or x = Rs.3000
Therefore, the selling price is 3000 x 98/100 =Rs.2940
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Q9.  Profit earned by an organisation is distributed among officers and clerks in the ratio 5:3 respectively. If the numbers of officers is 45 and numbers of clerks is 80 and the amount received by each officer is Rs .25,000 , then what was total profit earned ? 
1)  Rs.18 lakhs  2)  Rs.18.5 lakhs 
3)  Rs.20 lakhs  4)  Rs.22 lakhs 
5)  None of these 
Answer : Rs.18 lakhs
Explanation : Total amount received by officers 25000 x 45 = 1125000
If 5x = 1125000
Then x = 225000
So, total amount = 225000x8 = 18 lakhs
Explanation : Total amount received by officers 25000 x 45 = 1125000
If 5x = 1125000
Then x = 225000
So, total amount = 225000x8 = 18 lakhs
View Answer
Q10. 

1)  15%  2)  18% 
3)  20%  4)  25% 
5)  None of these 
Answer : 20%
Explanation :
Explanation :
Let, the C.P. of 100 ltr of milk is Rs 100
Therefore , the SP also of 100 ltr mixture (milk+water) will be Rs 100, where gain is 25%
So the C.P. of 100 ltr of mixture = (100/125)*100 =Rs 80/
Hence the gain = 100  80 = Rs.20
So the gain in percentage = 20%
Hence, the percentage of water in the milk = 20%
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