A man purchased some eggs at3 for Rs.5 and sold them at 5 for Rs.12. Thus, he gained Rs.143 in all. How many eggs did he purchased ?<br />
Hint : let the number of eggs bought be x.<br />
Then CP = Rs.( 5/3*x) and SP = Rs.( 12/5*x)
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cost of 3 eggs = 5
cost of 1 egg = 5/3
Let the no. of eggs purchased be x
so, CP = 5/3 x
SP of 5 eggs = 12
so, SP of 1 egg = 12/5
So, Total SP = 12/5 x
now, profit = SP - CP
143 = 12/5 x - 5/3 x
solving this by taking the LCM , we get
x = 195
cost of 1 egg = 5/3
Let the no. of eggs purchased be x
so, CP = 5/3 x
SP of 5 eggs = 12
so, SP of 1 egg = 12/5
So, Total SP = 12/5 x
now, profit = SP - CP
143 = 12/5 x - 5/3 x
solving this by taking the LCM , we get
x = 195
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