Marked price of an item is Rs 800. On purchase of 1 item discount is 15%, on purchase of 4 items discount is 38%. Rajshri buys 5 items, what is the effective discount?
- A33.4 percent
- B16 percent
- C9 percent
- D17.5 percent
Solution & Step-by-step Explanation
Marked price of 1 item = Rs 800
Total Marked Price for 5 items = 5×800=Rs 4000
Rajshri buys 5 items, which is a combination of a 4-item purchase and a 1-item purchase.
Discount on 1 item = 15% of 800=
100
15
×800=Rs 120
Discount on 4 items = 38% of (4×800)=
100
38
×3200=38×32=Rs 1216
Total discount received = 120+1216=Rs 1336
Effective discount percentage:
Effective Discount=(
Total Marked Price
Total Discount
)×100%
Effective Discount=(
4000
1336
)×100%=
4
133.6
=33.4%
Total Marked Price for 5 items = 5×800=Rs 4000
Rajshri buys 5 items, which is a combination of a 4-item purchase and a 1-item purchase.
Discount on 1 item = 15% of 800=
100
15
×800=Rs 120
Discount on 4 items = 38% of (4×800)=
100
38
×3200=38×32=Rs 1216
Total discount received = 120+1216=Rs 1336
Effective discount percentage:
Effective Discount=(
Total Marked Price
Total Discount
)×100%
Effective Discount=(
4000
1336
)×100%=
4
133.6
=33.4%