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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 ____________
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- 1 to 1
- 3 to 3
- 5 to 5
- 7 to 7
Correct Option: C
5 to 5
No. of LIG = 1,No. of MIG = 1,No. of HIG = 2
Total area of LIG = 1 × 3 = 3 units
Total area of MIG = 1 × 5 = 5 units
Total area of HIG = 2 × 8 = 16 units
We assume that,
Cost of construction for all LIG = 3 units
Cost of construction for all MIG = 5 units
Cost of construction for all HIG = 16 units
As 10% is on LIG, so 10% on 3 units = 0.3 would be burden on HIG
As 10% is on MIG, so 10% on 5 units = 0.5 would be burden on HIG
Total, 0.3 + 0.5 = 0.8 would be burden on HIG cost which totals 16 units
So,% change in cost = (0.8/16) × 100% = 5%
