A land is brought on Rs 20000,then he sold 2/5part of it on 10percent gain 1/10 percent of reaming on 10percent loss in he how many percent he sell to get 20%on the whole transaction
Answers
Answer:
he needs to sell remaing land at 30.74% profit to get net 20% profit at the end of whole transaction.
Step-by-step explanation:
Let's say he bought 'x' amount of land for 20,000.
Now he needs 20% profit on whole transaction which is 20*20000/100 = 4000. i.e. his total should be 24000 at the end.
1: he sold 2/5th part at 10% profit
2/5 of whole land = 2/5 * x
price of this part of land = 2/5 * 20000 = 8000
he got 10% gain on this part, thus total amount he received = 8000 + 10% of 8000 = 8800........ (1)
remaining land = x - 2/5 x = 3/5 * x
2: he sold 10% of remaining land at 10% loss
10% of remaining land = 3/5 * 1/10 = 3/50
price of this part of land = 3/50 * 20000 = 1200
he got 10% loss on this part, thus total amount he received = 1200 - 10% of 1200 = 1080........ (2)
remaining land = 90% of 3/5 = 27 / 50 x
price of remaining land = 20000 * 27/50 = 10800.
total money earned till now = 8800 + 1080 = 9880..... (1 + 2)
3: he needs 24000 at the end and he has 9880 now thus he will need to sell pending land at 24000 - 9880 = 14,120, which is (14120 - 10800) /10800 * 100 = 30.74% profit to gain 20% profit on whole transaction