A man buys a plot of agricultural land for 300000. He sells one third

1.	A man buys a plot of agricultural land for 300000. He sells one third ata loss of 20% and two fifth at a gain of 25%. At what price must he sellthe remaining land so as to make an overall profit of 10%.F
Answer» 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 = 2/5300000= 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)

A man buys a plot of agricultural land for 300000. He sells one third ata loss of 20% and two fifth at a gain of 25%. At what price must he sellthe remaining land so as to make an overall profit of 10%.F

Answer»

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)