Question

Swatantra Distributors allows 15% discount on the list price of washing machine. Further 5% discount is given for cash payment. Find the list price of the washing machine if it was sold for the net amount of ₹ 38,356.25.

Answer 1

Let the list price be ‘x’

Swatantra Distributors gives 15% discount on list price.

∴ Discount = `x xx 15/100 = 0.15`x

∴ Net price = x – 0.15x = 0.85x

Further cash discount is given at 5%.

∴ Cash discount = `0.85 x xx 5/100` = 0.0425x

∴ Net selling price = 0.85x – 0.0425x = 0.8075x

However, net selling price is ₹ 38,356.25.

∴ 0.8075 x = 38,356.25

∴ x = `38356.25/0.8075`

∴ x = ₹ 47,500

∴ List price of washing machine is ₹ 47,500.