Radha purchased a computer table for Rs 10000 and a center tabe for Rs 5000. She sold Computer table with 8% profit. With what profit percent should she sell the Center table so as at gain 10% on the whole transaction?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 14%
Given :
Cost price of computer table = Rs 10,000
Cost price of center table = Rs 5000
Profit percent on computer table = 8%
Overall profit percent = 10%
Formula used :
Profit = Selling price - Cost price ----- (1)
Profit percent = (Profit/cost price) × 100 ----- (2)
Selling price = ((100 + p%)/100) × Cost price ------ (3)
Calculations :
Using equation (3)
Selling price of computer table = ((100 + 8)/100) × 10000
⇒ (108/100) × 10000
⇒ 10800
Cost price of computer table and center table = 10000 + 5000
⇒ 15000
Selling price of both computer and center table = (110/100) × 15000
⇒ 16500
Selling price of center table = selling price of both tables - selling price of computer table
⇒ 16500 - 10800
⇒ 5700
Using equation (1)
Profit on center table = 5700 - 5000
⇒ 700
Using equation (2)
Profit percent on center table = (700/5000) × 100
⇒ 14%