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%?

₹5200

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