The marked price of every item being sold by a wholesaler was ₹300. The wholesaler was offering a stock-clearance sale under which, for every three items paid for, one item was being given free. In addition to this, a further 10% discount on the amount payable on the ‘Buy 3, Get 1 free’ scheme price was being offered to anyone making purchases worth more than ₹10,000. Ramesh made purchases for which this amount payable was ₹18,000. What was the effective percentage discount that was offered to Ramesh during this transaction?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 32.5%
Formula used:
Marked price = selling price + Discount --- (1)
Calculations:
Marked price of 3 items = selling price of 4 items
⇒ 3 × 300 = SP × 4
⇒ SP of one item = 225
Discount = 300 - 225 = 75
Discount % = (75/300) × 100 = 25
Now, for any purchase above the seller gives a discount of 10%
Actual price paid by ramesh = 18000 × 100/90 = Rs 20000
Actual price he had to pay if the seller does not give the buy 3 get 1 free scheme
⇒ 20000 × 100/75 = 26666.7
Required overall discount = 26666.7 - 18000 = 8666.7
Required discount percentage = (8666.7/26666.7) × 100 = 32.5%