A milkman sells cow milk at the rate of Rs. 55 litre including a profit 12 per cent. He also sells buffalo milk at the rate of Rs. 36 per litre including a profit of 20%. How much profit will he earn in five days if he sells 8 litres of cow milk and 10 litres of buffalo milk per day?
A. Rs. 632
B. Rs. 624
C. Rs. 646
D. Rs. 642
E. None of these
Answer: Option E
Solution(By Examveda Team)
$$\eqalign{ & {\text{Total}}\,{\text{cow}}\,{\text{milksold}}\,{\text{in}}\,{\text{five}}\,{\text{days}} \cr & = 5 \times 8 = 40\,{\text{litres}} \cr & {\text{Total}}\,{\text{buffalo}}\,{\text{milk}}\,{\text{sold}}\,{\text{in}}\,{\text{five}}\,{\text{days}} \cr & = 5 \times 10 = 50\,{\text{litres}} \cr & {\text{Hence}}, \cr & {\text{SP}}\,{\text{of}}\,{\text{40}}\,{\text{litres}}\,{\text{cow}}\,{\text{milk}} \cr & = 40 \times 55 = Rs.\,2200 \cr & {\text{Hence}}, \cr & {\text{Profit}}\,{\text{on}}\,{\text{cow}}\,{\text{milk}} \cr & = \frac{{ {2200 \times 12} }}{{112}} = Rs.\,235.71 \cr & {\text{Profit}}\,{\text{on}}\,{\text{buffalo}}\,{\text{milk}} \cr & = \frac{{ {50 \times 36 \times 20} }}{{120}} = Rs.\,300 \cr & {\text{Thus}}, \cr & {\text{Total}}\,{\text{Profit}} \cr & = 235.71 + 300 = Rs.\,535.71 \cr} $$Join The Discussion
Comments ( 4 )
Related Questions on Interest
Find the simple interest on Rs. 5200 for 2 years at 6% per annum.
A. Rs. 450
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C. Rs. 600
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Rs. 1200 is lent out at 5% per annum simple interest for 3 years. Find the amount after 3 years.
A. Rs. 1380
B. Rs. 1290
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E. Rs. 1240
Interest obtained on a sum of Rs. 5000 for 3 years is Rs. 1500. Find the rate percent.
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B. 9%
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Rs. 2100 is lent at compound interest of 5% per annum for 2 years. Find the amount after two years.
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Total SP of cow milk= 55×5×8=2200
Let, CP be x
112% of x = 2200
x=1964.29
Profit from cow milk=2200-1964.29=235.71
Total SP of buffalo milk=36×5×10=1800
Let, CP be y
120% of y = 1800
y=1500
Profit from buffalo milk= 1800-1500=300
Total profit= 235.71+300=535.71
P=SP-CP = 2200-CP
SP=CP(1+12/100)
=CP(112/100)
CP=SP(100/112)
P=2200-(2200*100/112)=2200*(12/112)
Please explain
sir can u exaplain how does the (2200*12)/112 in thsi secession how does we get 112 in denominator