the cost prica of 2 houses are same. if one house is sold at a profit of 50percent and second house sold rs 2300 more than the first house if the seller obtain 20 percent profit in whole find the cost price
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There seems to be a mistake in the given qn.. If 2nd house is sold for more than 1st house , then net profit will be more than 50%... not 20%...
case 1: Let the 2nd house be sold at 2,300 less than the first house.
cost price of each house: P
SP of the 1st house : P + 50/100 * P = P * 150/100 = 1.50 P
SP of the 2nd house: 1.50 P - 2, 300.
Total earnings = 1.50 P + 1.50 P - 2,300 = 3 P - 2,300
Total profit = P - 2,300
Profit % = (P - 2, 300)/P * 100 = 20
5 P - 11, 500 = P => P = Rs 2, 875
case 2:
2nd house is sold for Rs 2,300 more than the cost P.
total earnings: 1.50 P + P + 2,300 = 2.50 P + 2,300
total profit = 0.50 P + 2,300
profit % : (0.50 P +2,300) / P * 100 = 20
2.5 P + 11, 500 = P
P = 11 , 500/1.5 = Rs 7, 666.67
case 1: Let the 2nd house be sold at 2,300 less than the first house.
cost price of each house: P
SP of the 1st house : P + 50/100 * P = P * 150/100 = 1.50 P
SP of the 2nd house: 1.50 P - 2, 300.
Total earnings = 1.50 P + 1.50 P - 2,300 = 3 P - 2,300
Total profit = P - 2,300
Profit % = (P - 2, 300)/P * 100 = 20
5 P - 11, 500 = P => P = Rs 2, 875
case 2:
2nd house is sold for Rs 2,300 more than the cost P.
total earnings: 1.50 P + P + 2,300 = 2.50 P + 2,300
total profit = 0.50 P + 2,300
profit % : (0.50 P +2,300) / P * 100 = 20
2.5 P + 11, 500 = P
P = 11 , 500/1.5 = Rs 7, 666.67
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