If 3 dupattas are offered free on the purchase of 6 dupattas priced Rs 1200 each, what is the effective discount on each dupatta?
- A25 percent
- B20 percent
- C12.5 percent
- D33.33 percent
Solution & Step-by-step Explanation
Let the marked price (MP) of one dupatta be Rs 1200.
Under the offer, a customer gets 6+3=9 dupattas in total while paying for only 6 dupattas.
Total Marked Price of 9 dupattas:
Total MP=9×1200=Rs 10800
Total Selling Price paid by the customer (price of 6 dupattas):
Total SP=6×1200=Rs 7200
Total discount offered:
Discount=Total MP−Total SP=10800−7200=Rs 3600
The effective discount percentage on each dupatta (which is the same as the total discount percentage) is:
Discount Percentage=(
Total MP
Discount
)×100
Discount Percentage=(
10800
3600
)×100=
3
1
×100=33.33%
Under the offer, a customer gets 6+3=9 dupattas in total while paying for only 6 dupattas.
Total Marked Price of 9 dupattas:
Total MP=9×1200=Rs 10800
Total Selling Price paid by the customer (price of 6 dupattas):
Total SP=6×1200=Rs 7200
Total discount offered:
Discount=Total MP−Total SP=10800−7200=Rs 3600
The effective discount percentage on each dupatta (which is the same as the total discount percentage) is:
Discount Percentage=(
Total MP
Discount
)×100
Discount Percentage=(
10800
3600
)×100=
3
1
×100=33.33%