A marks her goods 25% above CP. She sells 35% of goods at the marked price, 40% at a 15% discount and the remaining at a 30% discount. What is her overall % gain?

8.125%

25% = \(\frac{1}{4}\)

Let C.P. = 400

then MRP = 500 (@25% profit)

35% = \(\frac{7}{20}\) and 40% = \(\frac{8}{20}\), therefore, let total articles is 20

ATQ,

35% of 20 × 500 (on MRP) = 7 × 500 = 3500

40% of 20 × 425 (on 15% discount) = 8 × 425 = 3400

5 (Rest) × 350 (on 30% discount) = 1750

Total SP = 8650

Total CP = 400 × 20 = 8000

P% = \(\frac{650}{8000}\) × 100% = 8.125%