By selling a wall clock for ₹3,034, a shopkeeper loses 18%. If he wishes to make a profit of 18%, what should be the selling price (in ₹) of the clock?
- A5,488
- B4,500
- C4,366
- D3,920
Solution & Step-by-step Explanation
Let the cost price (CP) of the wall clock be 100%.
Selling at an 18% loss means the initial selling price (SP
1
) is 100%−18%=82% of the CP.
82% of CP=3034⟹CP=
82
3034
×100=3700
To make an 18% profit, the new selling price (SP
2
) must be 100%+18%=118% of the CP:
SP
2
=
100
118
×3700=118×37=4366
Thus, the new selling price should be ₹4,366.
Selling at an 18% loss means the initial selling price (SP
1
) is 100%−18%=82% of the CP.
82% of CP=3034⟹CP=
82
3034
×100=3700
To make an 18% profit, the new selling price (SP
2
) must be 100%+18%=118% of the CP:
SP
2
=
100
118
×3700=118×37=4366
Thus, the new selling price should be ₹4,366.