Quantitative Aptitude
PROFIT AND LOSS MCQs
Profit & Loss
 - C.P. of 56 kg rice = Rs(26 x 20 + 30 x 36) = Rs.(520+1080) = Rs. 1600
S.P. of 56 kg. rice = Rs (56 x 30) = Rs. (56 x 30) = Rs.1680
Gain= (80/1600 x 100)% =5%
 - Let C.P.- Rs.5x and S.P. = Rs. 7x Then, gain = Rs. 2x
Required ratio = 2x:5x= 2:5
 - Let C.P. = Rs.a Then , S.P. = Rs.(120%of a) = Rs. 6a/5
New S.P. = Rs (2x 6a/5) = Rs.12a/5, Profit = Rs (12a/5 - a)
= Rs. 7a/5
Profit % = (7a/5 x 1/a x100)% = 140%
 - Let C.P.be Rs.x. Then, (150%of x) –(80% of x) = 100
or 25% of x = 100
x/4 = 100 or x = 400
So, C.P.=Rs.400
 - Let retail price = Rs. 100 Then, commission = Rs.36
S.P. = Rs. (100-36) = Rs. 64
But, profit =8.8%
C.P. = Rs.(100/108.8 x 64) = Rs 1000/17
Now commission = Rs.12 New S.P.= Rs. (100-12) = Rs.88.
Gain = Rs.(88-1000/17) = Rs. 496/17
Gain% = (496/17 x 17/1000 x 100)% = 49.6%
 - Let C.P. = Rs. 100 Then, S.P. = Rs= 133.
Let marked price be Rs. x
Then, 95% of x = 133
= 95 x /100 = 133
= (133 x 100/95)=140
Marked price = 40% above C.P.
 - Let the marked price of each pens be Rs.1
Then, C.P. of 40 pens = Rs 36 S.P. of 40 pens = 99% of Rs.40 =Rs.39.60
.: profit % (3.60/36 x 100)% =10%
 - C.P. = 600 + (600 x 6 x 4/100 x 12) = Rs 612 gain Rs (765-612) = Rs.153.
Gain% = (153/612 x 100)%
= 25%
A manufacture undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However as it turned out, 50% of the components were rejected. What is the loss to the manufacture?
 - Total cost incurred = Rs.[100/125 x 25 x (95%of 2000) ]
Rs.(100/125 x 25 x 1900)= Rs.38000
Loss to the manufacture = Rs [35000-(25 x 1000)]- Rs. 13000
- Investment =Rs.(20 x 8 + 10) = Rs.170
Receipt = Rs. (30 x 5 + 20 x 4) = Rs.230.
Gain% = (60/170 x 100)% = 35.29%
=35.3%
Detailed Solution:
Definition of Profit:
Profit is the difference between the amount realized from the sale of goods or services and the cost incurred in producing them.
Calculation of Profit:
To calculate the profit made by the person in the given transaction, we need to determine the total cost and the total amount realized from the sale of cream and toned milk.
Total Cost:
The total cost incurred by the person in the given transaction can be calculated as follows:
Total Cost = Cost of 20 liters of Milk + Cost of churning
= 20 x 8 + 10
= Rs. 180
Total Amount Realized:
The total amount realized from the sale of cream and toned milk can be calculated as follows:
Total Amount Realized = Sale of 5 kg of Cream + Sale of 20 liters of Toned Milk
= 5 x 30 + 20 x 4
= Rs. 250
Profit:
Now, the profit made by the person in the given transaction can be calculated as follows:
Profit = Total Amount Realized - Total Cost
= 250 - 180
= Rs. 70
Profit Percentage:
The profit percentage made by the person in the given transaction can be calculated as follows:
Profit Percentage = (Profit / Total Cost) x 100
= (70 / 180) x 100
= 35.3 %
Hence, the correct answer is Option B (35.3%)
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