Math's multiple choice questions set -1

Profit and loss 

1)The profit earned after selling an article for Rs 996 is same as loss incurred after selling the article for Rs 894 . What is the cost price of the article ?
A)935
B)905
C)945
D)975
E)None

2)Manish purchased 25 kg of rice at the rate of 32 per kg and 15 kg of rice at the rate of Rs 36 per kg . He mixed the two varieties of rice and sold it at the rate of Rs 40.20 per kg. What is the per cent profit earned ?
A)25 %
B)40 %
C)30 %
D)20 %
E)None

3)A shopkeeper bought 30 kg of wheat at the rate of Rs 45 per kg . He sold 40 per cent of the total quantity at the rate of Rs 50 per kg . Approximately , at what price per kg should he sell the remaining quantity to make 25 % overall profit ?
A)54
B)52
C)50
D)60
E)56

4)While selling a watch , a shopkeeper gives a discount of 15 % . if he gives a discount of 20 % , he earns Rs 51 less as profit . What is the original price of the watch ?
A)920
B)985
C)1125
D)1020
E)None

5)Nabin purchased a mobile phone and got a discount of 5 % from dealer . He sold that mobile phone at a profit of 10 % on his purchase price . What is his percentage profit on actual price of the mobile phone ?
A)2 %
B)3 %
C)4 %
D)5 %
E)None

6)A shopkeeper sells a TV set on discount of 8 % of printed price and gain 25 % . If print price was Rs 20000 , then what was the cost price ?
A)13800
B)14720
C)14800
D)13720
E)None

7)A wholesaler changes the price of 27 pens for 30 pens from a retailer . The retailer sells them at the marked price . Find his gain per cent .
A)12 %
B)18 %
C)37/2 %
D)100/9 %
E)None

8)An article is marked for sale at Rs 504 . The shopkeeper gives a discount of 5 % on the sale price and still earns a profit of 20 % . What will be purchase price of the article ?
A)399
B)405
C)403
D)400
E)None

9)Meenal bought a watch with 25 % discount on the selling price . If the watch costs Rs 1545 , what is the original selling price of the watch ?
A)2050
B)2000
C)2040
D)2100
E)None

10)A shopkeeper sells his articles at his cost price bust uses a faulty balance which reads 1000 gm for 800 gram . What is his actual profit percentage ?
A)10 %
B)20 %
C)25 %
D)40 %
E)None

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Answers with explanations:-

1.C)
Cost price of article = (996+894/2= Rs 945

2.D)
Total CP = (25 *32+15*36)=Rs 1340
Total SP = (25+15)*40.20 =Rs 1608
Profit percent = [(1608-1340)*100]/1340=20 %

3.D)
CP of 30 kg of wheat = 30 *45= 1350
SP of 40/100 of 30 kg of wheat =12 * 50 = 600
Required SP of 30 kg of wheat = 1350 * 125/100= Rs 1687.50
SP of remaining 18 kg of wheat = (1687.5-600)=Rs 1087.5
SP of remaining 1 kg of wheat = Rs 1087.5/18= Rs 60

4.D)
5 % = 51
100% = 51/5 * 100=1020

5.E)
Let the actual price of mobile phone be Rs 100
Purchase price = (100-5)=Rs 95
Selling price = 95 * (100+10)/100=9.5 * 11
Profit percentage = [(9.5 *11)*100]/100= 4.5 %

6.B)
Discount = 8 % of printed price
SP= Rs (20000-1600) =Rs 18400
Gain % =25
Cost price = (100*18400)/125= Rs 14720

7.D)
Gain % = [(30-27)*100]/27= 100/9 %

8.A)
Let the original price be Rs 100
After 5 % discount , its SP = (100-5) =Rs 95
SP of article = 504 * 95/100= Rs 478.50
Let the CP be Rs 100
Then SP =100+20=120
CP of article = 407.80 * (100/120) = Rs 399

9.E)

Let the selling price = X
According to the question,
75 % of X =1545
or x = (1545 *100)/75= 2060

10.C)
Shopkeeper’s net profit = 200 gram
Cost price of 100 gram = SP of 800 gram
So profit % = (200*100)/800= 25%