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### Mathmetics

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

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##### A shopkeeper marks up his goods by 50%. However, he could sell only one-third 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
##### 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 : Short-Cut Method:

[100 x (Profit - Loss ) x 2 x Profit x Loss] / (100 + Profit ) + (100 - Loss) = 0%
##### 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/
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 =  (30-4) = 26  i.e. 26%
##### An article was sold at a profit of 15%. Had it been sold for Rs.600 more , the profit would have been 25%. At what price was it sold ?
 1) Rs.5750 2) Rs.6400 3) Rs.6090 4) Rs. 7500 5) None of these
Explanation :
Short- Cut Methods:

C.P = 600/(25-15) x 100 = 6000

So, S.P  = 6000 x 115/100 = Rs.6900
##### A milkman buys some milk. If he sells it at rupees 16 a liter, he losses 600 rupees but when he sells it at 20 a liter, he gains 600 rupees. How much milk did he purchase ?
 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.
He sells at at rupees 16 a liter.
SP1 = Rs.16x, but losses Rs.600/
If he sells at 20 a liter, the SP2  = 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

##### The ratio between the profit and the sale price of an article is 1 : 5. What is the ratio between the sale and the cost price of that article ?
 1) 4 : 5 2) 5 : 4 3) 3 : 2 4) Data Inadequate 5) None of these
Answer : 5 : 4
Explanation :
C.P. = S.P. - Profit
or C.P. = 5 -1 = 4
or S.P. : C.P. = 5 : 4
##### A vendor sells 20 articles and gets a profit which is equal to cost price of 4 articles. What is his percentage of profit in this transaction ?
 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/.
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%
##### 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/.
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%
##### 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
Explanation : Let, the C.P be Rs.x.
Then, according to the question, 744 - x = 2(x-240)
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