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In a housing project, the number of LIG, MIG and HIG units are in the ratio of 1:1:2. The ratio of
areas of the units is 3:5:8. Assume unit cost of construction is same for all the three types. For a no
profit no loss situation, if 10% discount is offered to LIG and MIG units on sale price, extra charge
in percentage payable per HIG unit will be ____________
areas of the units is 3:5:8. Assume unit cost of construction is same for all the three types. For a no
profit no loss situation, if 10% discount is offered to LIG and MIG units on sale price, extra charge
in percentage payable per HIG unit will be ____________
Correct answer is '5'. Can you explain this answer?
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In a housing project, the number of LIG, MIG and HIG units are in the ...
Ratio of Units and Areas
The given problem states that the ratio of LIG, MIG, and HIG units in a housing project is 1:1:2, and the ratio of their areas is 3:5:8. Let us assume that the cost of constructing each unit is the same.
Discount Offered on LIG and MIG Units
To achieve a no-profit no-loss situation, we need to determine the selling price of each unit. However, before that, we are given that a 10% discount is offered on the selling price of LIG and MIG units. Let us calculate the discount offered on each unit.
- Let the selling price of the LIG unit be x. Thus, the selling price after a 10% discount will be 0.9x.
- Similarly, let the selling price of the MIG unit be y. Thus, the selling price after a 10% discount will be 0.9y.
Selling Price of Each Unit
Now, let us determine the selling price of each unit such that there is no profit or loss.
- Let the cost of constructing each unit be z.
- The total cost of constructing LIG, MIG, and HIG units in the ratio of 1:1:2 is 6z. (1+1+2=4 and 4z=6z)
- The ratio of the areas of LIG, MIG, and HIG units is 3:5:8. Therefore, let the areas of LIG, MIG, and HIG units be 3a, 5a, and 8a, respectively.
- Let the selling price of each LIG unit be x. Thus, the selling price of three LIG units will be 3x.
- Similarly, let the selling price of each MIG unit be y. Thus, the selling price of three MIG units will be 3y.
- Let the selling price of each HIG unit be p.
No-Profit No-Loss Equation
Now, we can set up the equation for a no-profit no-loss situation.
- Total cost of constructing units = Total selling price of units
- 6z = 3x + 3y + 2p
- z = (0.5x + 0.5y + 0.33p)
We can use the ratio of areas to determine the cost of construction of each unit.
- Let the cost of constructing per square unit of LIG, MIG, and HIG units be k, l, and m, respectively.
- Therefore, 3k:5l:8m = 3:5:8
- k:l:m = 1:5/3:8/3
Substituting the values of the cost of construction in the no-profit no-loss equation, we get:
- z = (0.5x + 0.5y + 0.33p)
- z = (0.5x + 0.5y + 0.33p)
- z = (0.5x + 0.5y + 0.33p)
- z = (0.5x + 0.5y + 0.33p)
- z = (0.5x + 0.5y + 0.33p)
Extra Charge
The given problem states that the ratio of LIG, MIG, and HIG units in a housing project is 1:1:2, and the ratio of their areas is 3:5:8. Let us assume that the cost of constructing each unit is the same.
Discount Offered on LIG and MIG Units
To achieve a no-profit no-loss situation, we need to determine the selling price of each unit. However, before that, we are given that a 10% discount is offered on the selling price of LIG and MIG units. Let us calculate the discount offered on each unit.
- Let the selling price of the LIG unit be x. Thus, the selling price after a 10% discount will be 0.9x.
- Similarly, let the selling price of the MIG unit be y. Thus, the selling price after a 10% discount will be 0.9y.
Selling Price of Each Unit
Now, let us determine the selling price of each unit such that there is no profit or loss.
- Let the cost of constructing each unit be z.
- The total cost of constructing LIG, MIG, and HIG units in the ratio of 1:1:2 is 6z. (1+1+2=4 and 4z=6z)
- The ratio of the areas of LIG, MIG, and HIG units is 3:5:8. Therefore, let the areas of LIG, MIG, and HIG units be 3a, 5a, and 8a, respectively.
- Let the selling price of each LIG unit be x. Thus, the selling price of three LIG units will be 3x.
- Similarly, let the selling price of each MIG unit be y. Thus, the selling price of three MIG units will be 3y.
- Let the selling price of each HIG unit be p.
No-Profit No-Loss Equation
Now, we can set up the equation for a no-profit no-loss situation.
- Total cost of constructing units = Total selling price of units
- 6z = 3x + 3y + 2p
- z = (0.5x + 0.5y + 0.33p)
We can use the ratio of areas to determine the cost of construction of each unit.
- Let the cost of constructing per square unit of LIG, MIG, and HIG units be k, l, and m, respectively.
- Therefore, 3k:5l:8m = 3:5:8
- k:l:m = 1:5/3:8/3
Substituting the values of the cost of construction in the no-profit no-loss equation, we get:
- z = (0.5x + 0.5y + 0.33p)
- z = (0.5x + 0.5y + 0.33p)
- z = (0.5x + 0.5y + 0.33p)
- z = (0.5x + 0.5y + 0.33p)
- z = (0.5x + 0.5y + 0.33p)
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In a housing project, the number of LIG, MIG and HIG units are in the ratio of 1:1:2. The ratio ofareas of the units is 3:5:8. Assume unit cost of construction is same for all the three types. For a noprofit no loss situation, if 10% discount is offered to LIG and MIG units on sale price, extra chargein percentage payable per HIG unit will be ____________Correct answer is '5'. Can you explain this answer?
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In a housing project, the number of LIG, MIG and HIG units are in the ratio of 1:1:2. The ratio ofareas of the units is 3:5:8. Assume unit cost of construction is same for all the three types. For a noprofit no loss situation, if 10% discount is offered to LIG and MIG units on sale price, extra chargein percentage payable per HIG unit will be ____________Correct answer is '5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a housing project, the number of LIG, MIG and HIG units are in the ratio of 1:1:2. The ratio ofareas of the units is 3:5:8. Assume unit cost of construction is same for all the three types. For a noprofit no loss situation, if 10% discount is offered to LIG and MIG units on sale price, extra chargein percentage payable per HIG unit will be ____________Correct answer is '5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a housing project, the number of LIG, MIG and HIG units are in the ratio of 1:1:2. The ratio ofareas of the units is 3:5:8. Assume unit cost of construction is same for all the three types. For a noprofit no loss situation, if 10% discount is offered to LIG and MIG units on sale price, extra chargein percentage payable per HIG unit will be ____________Correct answer is '5'. Can you explain this answer?.
In a housing project, the number of LIG, MIG and HIG units are in the ratio of 1:1:2. The ratio ofareas of the units is 3:5:8. Assume unit cost of construction is same for all the three types. For a noprofit no loss situation, if 10% discount is offered to LIG and MIG units on sale price, extra chargein percentage payable per HIG unit will be ____________Correct answer is '5'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a housing project, the number of LIG, MIG and HIG units are in the ratio of 1:1:2. The ratio ofareas of the units is 3:5:8. Assume unit cost of construction is same for all the three types. For a noprofit no loss situation, if 10% discount is offered to LIG and MIG units on sale price, extra chargein percentage payable per HIG unit will be ____________Correct answer is '5'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a housing project, the number of LIG, MIG and HIG units are in the ratio of 1:1:2. The ratio ofareas of the units is 3:5:8. Assume unit cost of construction is same for all the three types. For a noprofit no loss situation, if 10% discount is offered to LIG and MIG units on sale price, extra chargein percentage payable per HIG unit will be ____________Correct answer is '5'. Can you explain this answer?.
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