A man buys a plot of agricultural land for rs 300000. He sells one -third at a loss of 20%and two - fifth at a gain of 25%.at what price must he sell the remaining land so as to make an overall profit of 10%.
Answers
Answer:
Since the overall profit of 10% is asked, we need to calculate accordingly, in case the expected profit is 10% for remaining land then it would be different Please find the image and educate me
Step-by-step explanation:
CP of the total land = Rs 300000
Sold 1/3 of land at loss of 20%
CP of 1/3 land = 1/3* 300000 = 1,00,000
SP of 1/3 land = CP * ( 1- Loss%/100) = 100000 * ( 1- 20/100) = 100000* 80/100 =Rs. 80,000/-
Similarly sold 2/5 at a gain of 25%
CP of 2/5 land = 2/5*300000= 1,20,000/-
SP of 2/5 land = 120000 * ( 1+25/100) = 120000* 125/100 = Rs. 1,50,000/-
Total gain % reqd = 10%
Total SP reqd = Total CP * ( 1+ Gain%/100) = 300000 * (1+10/100) = 300000* 110/100 = Rs. 3,30,000/-
SP of the balance land = 3,30,000- 80,000 1,50,000 = 1,00,000/-
Therefore he has to sell the balance land at Rs 1,00,000/- (Answer)