The cost of a table is ₹1,600 more than that of a chair. If the table is sold…
2022
The cost of a table is ₹1,600 more than that of a chair. If the table is sold at a loss of 8% and the chair is sold at a profit of 40%, then there is an overall profit of 6.4%. What is the cost price (in ₹) of the table?
- A.
2,500
- B.
2,600
- C.
2,800
- D.
3,200
Attempted by 23 students.
Show answer & explanation
Correct answer: C
Use the Alligation method to find the ratio of their Cost Prices (CP) quickly.
Step 1: Set up the Alligation values.
Chair Profit = +40%
Table Loss = -8%
Overall Profit = +6.4%
Step 2: Find the ratio of Chair CP to Table CP.
Chair CP : Table CP = (Overall - Table) : (Chair - Overall)
Chair CP : Table CP = (6.4 - (-8)) : (40 - 6.4)
Chair CP : Table CP = 14.4 : 33.6
Simplifying the ratio (divide by 4.8): 3 : 7
Step 3: Use the given price difference.
The difference in ratio units = 7 - 3 = 4 units.
We are given that the difference in Cost Price is 1600.
So, 4 units = 1600
1 unit = 400
Step 4: Find the Cost Price of the table.
CP of Table = 7 units
CP of Table = 7 * 400 = 2800.
Final Answer: Option C