Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q1.  An article is marked x% above the cost price. A discount of 2x/3% is given on the marked price. If the profit is 4% of the cost price and the value of x lies between 25 and 50, then what should be the value of 50% of x ? 
1)  12  2)  14 
3)  15  4)  20 
5)  None of these 
Answer : 15
Explanation :
Explanation :
Let, the cost price of the article is Rs.100. Marked price (MP) = Rs.100+x
Selling price of the price (SP) = MP  discount = Rs.100+x  2x/3 *(Rs.100+x)/100
Also, SP = CP + 4% profit = 100+4 = Rs.104
Hence,(100+x)2/3x * (100+x)/100 = 104
or 100+x  2x/300 (100+x) = 104
or x²  50x + 600 = 0
On solving the above equation, we get possible values of x as 20 and 30. But as x lies between 25 and 50, the value should be 30.
So, x = 30.
The value of 50% of x is = 15
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Q2.  A shopkeeper marks up his goods by 50%. However, he could sell only onethird of his stock at this price. The half of the remaining stock was sold at a discount of 7.14% and remaining at a discount of 16.67%. What is the overall percentage profit of the trader ? 
1)  28%  2)  32% 
3)  36%  4)  38% 
5)  None of these 
Answer : 38%
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Q3.  A person sold two hens for Rs. 105 each . On one he lost 25% . On the other he gained 50% . What is the gain or loss on his total outlay ? 
1)  12.5%  2)  20% 
3)  28.3%  4)  Neither gain Nor loss 
5)  None of these 
Answer : Neither gain Nor loss
Explanation : ShortCut Method:
Explanation : ShortCut Method:
[100 x (Profit  Loss ) x 2 x Profit x Loss] / (100 + Profit ) + (100  Loss) = 0%
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Q4. 
A sells his books cost Rs.500 to B at a profit of 30%. After some period of time, B sells the same book to A at a loss of 20%. What is the total % of profit or loss in the whole trading ? 
1)  4% profit  2)  4% loss 
3)  26% profit  4)  26% loss 
5)  None of these 
Answer : 26% profit
Explanation : Let, CP of A = 100 , SP of B from A = 130 i.e. profit = 30/
Explanation : Let, CP of A = 100 , SP of B from A = 130 i.e. profit = 30/
Again , some days B sells in return to A at loss of 20% i.e. the CP of A again = 130 x (80/100) = 104
So ,in the whole trade , he gets actual profit = (304) = 26 i.e. 26%
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Q5. 

1)  Rs.5750  2)  Rs.6400 
3)  Rs.6900  4)  Rs. 7500 
5)  None of these 
Answer : Rs.6900
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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Q6. 

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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Q7. 

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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Q8. 

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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Q9.  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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Q10.  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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