Multiple Choice Questions On Aptitude With Explanation

1)A man buys an article for Rs. 27.50 and sells it for Rs. 28.60. What will be his gain percent   ?

1. 10%
2. 4%
3. 3%
4. 1%

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Answer = B
Explanation:
C.P = 27.50
S.P = 28.60
Gain = Rs(28.60 - 27.50) = 1.10
Gain % = ( (1.10 / 27.50 ) * 100 )% = 4%

2) If the radio is purchased for Rs 490 and sold for Rs. 465.50 then what is the Loss percent?

1. 50%
2. 20%
3. 10%
4. 5%

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Answer = D
Explanation:
C.P = 490
S.P = 465.50
Loss = Rs(490 - 465.50)= Rs 24.50
Loss % = ((24.50/490)*100)% = 5%

3) By selling a book for Rs. 115.20, a man losses 10%. At what price should he sell it to gain 5% ?

1. 150
2. 143.50
3. 134.40
4. 134.42

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Answer = C 
Explanation: 
Let the new S.P be Rs x
(100 - loss%) : (1st SP) = (100 + gain%) : (2nd SP)
                  or
=> (100 - 10) / 115.20 = (100 + 5) / x
=>  x = (105 * 115.20)/90 = 134.40

4) A trader lost 20% by selling a watch for Rs. 1024 What percent shall he gain or loss by selling it for Rs. 1472  ?

1. 23%
2. 15%
3. 32%
4. 43%

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Answer = B 
Explanation: 
Let the gain % be x
=> 80 : 1024 = (100 + x) : 1472
=> 80 / 1024 = (100 +x) / 1472
=> 100+x = (80 * 1472) / 1024 
=> 100+x = 115
=> x = 15
Hence gain% = 15%

5) Hari purchased 25kg of wheat at Rs 4 per Kg and 35 Kg of wheat at Rs 4.50 per Kg. He sold the mixture at Rs 4.25 per Kg. Find his gain or loss ?

1. 3.50
2. 4.50
3. 5.50
4. 2.50

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Answer = D 
Explanation: 
Total C.P = Rs (25*4 + 35*4.50)
               = Rs. 257.50
Total S.P = Rs (60*4.25) 
               = Rs 255
Loss = Rs ( 257.50 - 255 ) = Rs. 2.50

6) A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs. 10.50 less, he would have gained 30%. Find the cost price of the article ?

1. 50
2. 60
3. 70
4. 80

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Answer = A 
Explanation: 
Let the C.P be Rs x
1st S.P = 125% of Rs x = (125 / 100 )x = 54 / x
2nd C.P = 80% of x = (80/100)x=(4/5)x
2nd S.P= 130% of (4/5)x= (130/100)*(4/5)x = (26 / 25)x
Hence  (5/4)x - (26/25)x = 10.50
        => x = (10.50*100) / 21
                = 50

7) A Grocer purchased 80Kg of rice at Rs 13.50 per Kg and mixed it with 120Kg of rice at Rs. 16 per Kg. At what rate per Kg should he sell the mixture to gain 16% ?

1. 20.00
2. 17.40
3. 18.56
4. 34.67

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Answer = B 
Explanation: 
C.P of 200 Kg of mix = Rs(80 * 13.50 + 120 * 16) = Rs. 3000
S.P = 116% of Rs.3000 = Rs (116/100) * 3000 = Rs. 3480
Rate of S.P of the mixture = Rs(3480/200) per Kg = Rs 17.40 per Kg

8) A vender sells 10 toffees for a rupee, gaining thereby 20%. How many did he buy for a rupee ?

1. 15
2. 10
3. 12
4. 20

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Answer =C 
Explanation: 
S.P of 10 toffees = Re 1, gain = 20%
Re 5 / 6 is C.P of 10
Re 1 is the C.P of ( 10 * (6/5)) = 12
Hence he bought 12 toffees for a rupee

9) A trader allows discount of 10% on the marked price and allows a discount of 15% on it. Find his gain percent ?

1. 1%
2. 2%
3. 3%
4. 5%

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Answer = B 
Explanation: 
Let C.P = Rs. 100 Then marked price = 120
so S.P = 85% of Rs 120 = Rs 102
Hence gain% = 2%

10) A shopkeeper allows  a discount of 10% on the marked price. How much above cost price must he mark his goods to gain 8% ?

1. 120
2. 140
3. 200
4. 250

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Answer = A 
Explanation: 
Let C.P = Rs. 100 Then S.P = Rs 108
Let marked price be Rs x
=>  90% of x = 108
=> x = (108 ) * (100/90) = 120
Hence Marked price = Rs. 120

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