Examveda
Examveda

A man buys a chair and table for Rs. 6000. He sells the chair at a loss of 10% and the table at gain of 10%. He still gains Rs. 100 on the whole. Cost price of chair is:

A. Rs. 2500

B. Rs. 2850

C. Rs. 3050

D. Rs. 3500

Answer: Option A

Solution(By Examveda Team)

If the CP of the chair be Rs. x then,
Total SP = $$\frac{{{\text{x}} \times 90}}{{100}}$$  + $$\left( {\left( {6000 - {\text{x}}} \right) \times \frac{{110}}{{100}}} \right)$$
Or, 9x + 66000 - 11x = 61000
Or, 2x = 66000 - 61000 = 5000
Or, x = Rs. 2500

This Question Belongs to Arithmetic Ability >> Profit And Loss

Join The Discussion

Comments ( 2 )

  1. Swapnil Salunkhe
    Swapnil Salunkhe :
    11 months ago

    Chair + Table =6000

    chair * 90/100 + Table * 110/100 = 6100

    9chair + 11table = 61000 (eq 1)

    We know Chair +Table = 6000 ---> (eq 2) And we want to calculate Price of chair hence to remove table from eq 1 multiply eq2 with 11 --> 11chair + 11 table = 66000
    9chair + 11table = 61000
    11chair+11table =66000
    ----------------------------------
    2Chair+0 = 5000

    chair = 5000/2 ---------> 2500 Rs


  2. Jagjeet Singh
    Jagjeet Singh :
    3 years ago

    Sir any easy method please tell

Related Questions on Profit and Loss