Arpita sold her mobile phone for ₹3000 at a loss of 25%. At what price should she sold it to get a profit of 30%?
Answer & explanation
Correct answer: option 3
Selling price (S.P) = Rs. 3000 (for the loss)
At a loss of 25 percent
For loss:
C.P = S.P[100/(100 - loss percent)]
For gain:
C.P = S.P × [100/(100 + gain percent)]
For loss,
⇒ C.P = 3000 × [100/(100 - 25)]
⇒ C.P = 4000
For gain,
⇒ 4000 = S.P × [100/(100 + 30)]
⇒ 4000 = S.P × (100/130)
⇒ S.P = [(4000 × 130)/100]
S.P = 5200