Correct Answer - Option 3 : 46.25%
Given:
Chair when sold at 20% discount makes seller earns profit of 30%.
Concepts used:
M.P. = S.P. + Discount
Discount % = Discount/M.P. × 100
Gain % = Gain/C.P. × 100
Gain = S.P. – C.P.
Calculation:
Let M.P. of chair be Rs. x.
⇒ Discount % = 20
⇒ {(x – S.P.)/x} × 100 = 20
⇒ S.P. = 4x/5
Profit % = 30
⇒ (4x/5 – C.P.)/C.P. × 100 = 30
⇒ 4x/5 = 13C.P./10
⇒ C.P. = 8x/13
If discount % = 10
⇒ (x – S.P.)/x × 100 = 10
⇒ S.P. = 9x/10
New gain % = (9x/10 – 8x/13)/(8x/13) × 100 = 46.25%
∴ New gain % is equal to 46.25%.