Quantitative aptitude Question for all banking Bank PO,Clerk,IBPS PO,Railway,SSC,PSUs,IAS,OAS ,C-SAT Exams

Mathmetics

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

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Q1.	In a certain store, the profit is 260% of the cost. If the cost increases by 20% but the selling price remains constant, approximately what percentage of the selling price is the profit?

1)	33-1/3%	2)	40%
3)	54%	4)	66-2/3%
5)	None of these

Answer : 66-2/3%
Explanation :

Let C.P.= Rs. 100. Then, Profit = Rs. 260, S.P. = Rs. 360.

New C.P. = 120 % of Rs. 100 = Rs. 120

New S.P. = Rs. 360.

Profit = Rs. (360 - 120) = Rs.240.

Required percentage = [(240/360) x 100] = 66-2/3%

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Q2.	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 :

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 x� - 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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Q3.	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

Answer : 38%

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Q4.	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%

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Q5.	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%

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Q6.	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.6900	4)	Rs. 7500
5)	None of these

Answer : Rs.6900
Explanation :

Short- Cut Methods:

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

So, S.P = 6000 x 115/100 = Rs.6900

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Q7.	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

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Q8.	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

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Q9.

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%

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Q10.	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%

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Mathmetics

Q1.

In a certain store, the profit is 260% of the cost. If the cost increases by 20% but the selling price remains constant, approximately what percentage of the selling price is the profit?

Q2.

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 ?

Q3.

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 ?

Q4.

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 ?

Q5.

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 ?

Q6.

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 ?

Q7.

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 ?

Q8.

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 ?

Q9.

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 ?

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 ?

Q10.

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 ?

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