Sum of cost price of two cows is Rs. 13000. Both the cows are sold at a profit of 20% and 40% respectively, with their selling price being the same. What is the difference of cost price of both the cows?
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Let cost price of cows be p and q
p + q = 13000....(1)
Now, for 1st cow,
Profit = 20%
Selling price = 120% of p = 1.2p
For 2nd cow,
Profit = 40%
Selling price = 140% of q = 1.4q
Now,
1.2p = 1.4q
or 6p = 7q
p = 7q/6
Putting this in (1), we get
7q/6 + q = 13000
13q/6 = 13000
q = 6000
So, p = 7(6000)/6 = 7000
So, p - q = 7000 - 6000 = 1000
Therefore, difference between cost price of cows is 1000.
p + q = 13000....(1)
Now, for 1st cow,
Profit = 20%
Selling price = 120% of p = 1.2p
For 2nd cow,
Profit = 40%
Selling price = 140% of q = 1.4q
Now,
1.2p = 1.4q
or 6p = 7q
p = 7q/6
Putting this in (1), we get
7q/6 + q = 13000
13q/6 = 13000
q = 6000
So, p = 7(6000)/6 = 7000
So, p - q = 7000 - 6000 = 1000
Therefore, difference between cost price of cows is 1000.
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