General Mathematics

Question: If` a exceeds b by x%, then which one of these equations is correct ?
A
`c - b = x/(100)`

B
`b = a + 100 x`

C
`a = (bx)/(100 + x)`

D
`a = b + (bx)/(100)`

Note: `b + (bx)/(100) = a`
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Question: In an examination, 35% of the examinees failed in G.K and 25% in English. If 10% of the examinees failed in both, then the percentage of examinees passed will be :
A
`40%`

B
`45%`

C
`48%`

D
`50%`

Note: Not available
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Question: If the price of a television set is increased by 25%, then by what percentage should the new price be reduced to bring the price back to the original level ?
A
15%

B
20%

C
25%

D
30%

Note: Let original price be Rs. x. New price` = (125)/(100) xx x` `= (5x)/4` Reduction on` = ((5x)/4 - x)` `= x/4` Reduction on` 100 = (x/4 xx 4/(5x) xx 100)` `= 20%`
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Question: The number of grams of water needed to reduce 9 grams of shaving lotion containing 50% alcohol to a lotion containing 30% alcohol, is :
A
4

B
5

C
6

D
7

Note: Alcohol in 9 gms` = (50/(100) xx 9)` `= 4.5 gms.` Let x gm of water be added. Then, `(4.5)/(0 + x) xx 100` `= 30 => 270 + 30x = 450 => x = 6 gms.`
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Question: A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is :
A
4%

B
6%

C
10%

D
12%

Note: Let C.P be Rs. 100. Then, M.P = Rs. 120 Also, S.P = Rs. 108 Discount on 120 = Rs. (120 - 108) Rs. = 12 Discount on `100 = ((12)/(120) xx 100)` `= 10%`
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Question: BY selling an umbrella for Rs. 30, a shopkeeper gains 20% During a clearance sale the shopkeeper allows a discount of 10% of the marked price his gain percent during the sale season is :
A
7

B
7.5

C
8

D
9

Note: C.P` = ((100)/(120) xx 30)` `= 25,` S.P. = 90% of 30 = Rs. 27 Gain `% = (2/(25) xx 100) = 8%`
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Question: A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discount price. If the customer pays Rs. 680.40 as the price including the sales tax, what is the marked price of the item ?
A
Rs. 630

B
Rs. 700

C
Rs. 780

D
None

Note: Let M.P = x Then, `90/(100) x + 8/(100) xx (90 x)/(100)` `= 680.40 => x = 700
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Question: The difference between the cost price and sale price of an article is Rs. 240. If the profit percent is 20. at what price was the article sold ?
A
Rs. 1240

B
Rs. 1400

C
Rs. 1600

D
None of these

Note: Let S.P be Rs. x Then, C.P = (x - 240) `:. (240)/(x - 240) xx 100` `20 => x - 240 = 1200 => x = 1440
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Question: A shopkeeper earns 15% profit on a shirt even after allowing 31% discount on the list price. If the list price is Rs. 125, then the cost price of the shirt is :
A
Rs. 87

B
Rs. 80

C
Rs. 75

D
Rs. 69

Note: Let C.P be Rs. x. Then, `(115)/(100) x = (69)/(100) xx 125 => x = 75`
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Question: Loss incurred by selling a bicycle for Rs. 895 is equal to the profit earned by selling it for Rs.955. What is the loss/profit in this case ?
A
Rs. 45

B
Rs. 30

C
Rs. 75

D
cannot be determined

Note: Let C.P. be Rs. x. Then, (x - 895) = (955 - x) => x = 925 :. loss = Gain = (925 - 895) = 30
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Question: If` a exceeds b by x%, then which one of these equations is correct ?

Question: In an examination, 35% of the examinees failed in G.K and 25% in English. If 10% of the examinees failed in both, then the percentage of examinees passed will be :

Question: If the price of a television set is increased by 25%, then by what percentage should the new price be reduced to bring the price back to the original level ?

Question: The number of grams of water needed to reduce 9 grams of shaving lotion containing 50% alcohol to a lotion containing 30% alcohol, is :

Question: A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is :

Question: BY selling an umbrella for Rs. 30, a shopkeeper gains 20% During a clearance sale the shopkeeper allows a discount of 10% of the marked price his gain percent during the sale season is :

Question: A shopkeeper allows a discount of 10% on the marked price of an item but charges a sales tax of 8% on the discount price. If the customer pays Rs. 680.40 as the price including the sales tax, what is the marked price of the item ?

Question: The difference between the cost price and sale price of an article is Rs. 240. If the profit percent is 20. at what price was the article sold ?

Question: A shopkeeper earns 15% profit on a shirt even after allowing 31% discount on the list price. If the list price is Rs. 125, then the cost price of the shirt is :

Question: Loss incurred by selling a bicycle for Rs. 895 is equal to the profit earned by selling it for Rs.955. What is the loss/profit in this case ?