Correct Answer - Option 4 : loss of 2.25%
Given:
A shopkeeper sells two T.V. sets for Rs. 20,000 each
On one he gains 15% and on the other he loses 15%.
Formula used:
Profit% = {(S.P - C.P)/C.P}× 100
Loss% = {(C.P - S.P)/C.P}× 100
S.P = Selling Price
C.P = Cost price
C.P = S.P × 100/(100 + Profit%)
C.P = S.P × 100/(100 - Loss%)
Calculation:
According to the question,
Total Selling price = 20000 + 20000
⇒ Rs. 40000
At the 15% profit
⇒ C.P = S.P × 100/(100 + Profit%)
⇒ C.P = 20000 × 100/(100 + 15)
⇒ C.P = 2000000/115
⇒ C.P = Rs. 17,391.30
At the 15% loss
⇒ C.P = S.P × 100/(100 - Loss%)
⇒ C.P = 20000 × 100/(100 - 15)
⇒ C.P = 2000000/85
⇒ C.P = 23529.41
Total C.P = 17391.3 + 23529.41
⇒ Rs, 40920.71
Loss% = {(40920.71 - 40000)/40921.71}× 100
⇒ Loss% = 2.25%
∴ The shopkeeper’s loss is 2.25%.
