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Mathmetics

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

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Q571.

A person buys an old TV for Rs. 4500 and spends Rs. 300 on its repairs. If he sells the scooter for Rs. 6000, his gain percent is:

1)	16%	2)	18%
3)	20%	4)	25%
5)	None of these

Answer : 25%
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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Q572.

An article was sold at a profit of 15%. Had it been sold for Rs.600, the profit would have been 25%. At what price was it sold ?

1)	Rs.575	2)	Rs.750
3)	Rs.552	4)	Rs.552
5)	None of these

Answer : Rs.552
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.

SHORT-CUT METHOD:

(600/125) x (115/100) x 100 = 552

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Q573.

The percent profit made when article is sold for Rs.96 is twice as much as when it is sold for Rs.88. What is the cost price of the article ?

1)	Rs. 72	2)	Rs. 80
3)	Rs. 76	4)	Rs. 78
5)	None of these

Answer : Rs. 80
Explanation :

Let the cost be Rs. x.

According to equation Rs(96 - x) = 2(88 - x)

Or x = Rs. 80.

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Q574.

There are 728 students in a school, 162 come to the school by bus, 384 on bicycles and the rest by walk. What percentage of students comes to the school by walk ?

1)	35%	2)	25%
3)	40%	4)	33%
5)	None of these

Answer : 25%
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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Q575.

35% of a number is 175. What % of 175 is the number ?

1)	285.71%	2)	283.71%
3)	289.91%	4)	285.71%
5)	None of these

Answer : 285.71%
Explanation : Let �x� be the number

(35/100)x = 175

or x= (175 x 100)/35

So,required percentage = (500/75)/100 = 285.71%

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Q576.

A candidate scoring 25% in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than the minimum required for a pass. Find the full mark in the examination ?

1)	200	2)	240
3)	240	4)	500
5)	None of these

Answer : 200
Explanation :

Let, the full mark be x.

The first candidate's pass mark = (25/100)x +30

The second candidate's pass mark = ( 50/100 )x-20

So, (25/100)x +30 = ( 50/100 )x-20

Or x= 200

Shortcut Method :

Full-Mark = (Diff. in marks / diff.in %) x 100

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Q577.

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

1)	2500	2)	2600
3)	2700	4)	3000
5)	None of these

Answer : 2700
Explanation :

Number of valid votes = 80% of 7500 = 6000.

So, Valid votes polled by other candidate = 45% of 6000

= (45/100 x 6000 = 2700.

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Q578.

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

1)	2:1	2)	3:2
3)	2:3	4)	3:1
5)	None of these

Answer : 3:1
Explanation :

Let man's rate upstream be x kmph.

Then, his rate downstream = 2x kmph.

(Speed in still water) : (Speed of stream) = (2x+2) /2 : (2x-x)/2

=3x/2: x/2 = 3 : 1.

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Q579.

A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water ?

1)	10kmph	2)	12kmph
3)	15kmph	4)	18kmph
5)	None of these

Answer : 15kmph
Explanation :

Let the speed of the boat in still water be x kmph. Then,

Speed downstream = (x + 3) kmph,

Speed upstream = (x - 3) kmph.

(x + 3) x 1 = (x - 3)/2 x3

Or 2x + 6 = 3x - 9

Or x = 15 kmph.

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Q580.

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place ?

1)	2.4 km	2)	2.5km
3)	3km	4)	3.6km

Answer : 2.4 km
Explanation :

Speed downstream = (5 + 1) kmph = 6 kmph.

Speed upstream = (5 - 1) kmph = 4 kmph.

Let the required distance be x km.

Then,x/6 +x/4 = 1

Or 2x + 3x = 12

Or 5x = 12

Or x = 2.4 km.

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Previous 1 2...55 56 575859 60 61 62 63 Next

Mathmetics

Q571.

A person buys an old TV for Rs. 4500 and spends Rs. 300 on its repairs. If he sells the scooter for Rs. 6000, his gain percent is:

Q572.

An article was sold at a profit of 15%. Had it been sold for Rs.600, the profit would have been 25%. At what price was it sold ?

Q573.

The percent profit made when article is sold for Rs.96 is twice as much as when it is sold for Rs.88. What is the cost price of the article ?

Q574.

There are 728 students in a school, 162 come to the school by bus, 384 on bicycles and the rest by walk. What percentage of students comes to the school by walk ?

Q575.

35% of a number is 175. What % of 175 is the number ?

Q576.

A candidate scoring 25% in an examination fails by 30 marks while another candidate who scores 50% marks gets 20 marks more than the minimum required for a pass. Find the full mark in the examination ?

Q577.

In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:

Q578.

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is:

Q579.

A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water ?

Q580.

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place ?

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