Trader A gives a single discount of 25% and Trader B gives two successive discounts of 20% and 5% on an identical item. If the discount given by A is ₹320 more than the discount given by B, then what is the marked price (in ₹) of the item?

Let the marked price of the item = M

i) Trader A gives a single discount of 25%.

Discount = $$\frac{25}{100}$$M = $$\frac{1}{4}$$M

ii) Trader B gives two successive discounts of 20% and 5%.

Price of the item after 20% discount = $$\frac{80}{100}\times$$M

Price of the item after 5% discount = $$\frac{95}{100}\times\frac{80}{100}\times$$M = $$\frac{19}{25}$$M

Total discount given trader B = M - $$\frac{19}{25}$$M = $$\frac{6}{25}$$M

According to the problem, discount given by A is ₹320 more than the discount given by B.

$$\frac{1}{4}$$M = $$\frac{6}{25}$$M + 320

$$\frac{25M-24M}{100}=320$$

M = ₹32000

Hence, the correct answer is Option B