a man buys a plot for rs 3,00000. he sells 1/3rd at again of 25%. at what price must he sell the remaining land so to make an overall profit of 10%.
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over all cost price = 300000
1/3 part sold at 25%
cost price 300000*1/3 = 100000
gain = 100000*25% = 25000
sales = cost price + gain = 100000 + 25000 = 125000...
overall profit and sales required
=sales = cost price + gain
= 300000 + 10% = 330000
amount required to meet this obligation = 330000 - 125000 = 205000
cost of the remaining part = 300000*2/3 = 200000
cost + gain = sales
200000 + gain = 205000
gain = 205000 - 200000 = 5000
gain percentage = gain/cost price = 5000/200000 = 25% is the required gain percentage..
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