Which of the following schemes will yield maximum discount on purchase of ₹x?
2 successive discounts of 25% and 15%
Single discount of 20%
2 free on purchase of 3 items
3 free on purchase of 7 items
- AScheme 4
- BScheme 2
- CScheme 1
- DScheme 3
Solution & Step-by-step Explanation
Let's find the effective discount percentage for each scheme:
Scheme 1: Two successive discounts of 25% and 15%
Effective Discount=a+b−
100
ab
=25+15−
100
25×15
=40−3.75=36.25%
Scheme 2: Single discount of 20%
Effective Discount=20%
Scheme 3: Buy 3, Get 2 free (Total items received = 3+2=5)
Effective Discount=
Total Items
Free Items
×100=
5
2
×100=40%
Scheme 4: Buy 7, Get 3 free (Total items received = 7+3=10)
Effective Discount=
Total Items
Free Items
×100=
10
3
×100=30%
Comparing all values, Scheme 3 gives the maximum discount (40%).
Scheme 1: Two successive discounts of 25% and 15%
Effective Discount=a+b−
100
ab
=25+15−
100
25×15
=40−3.75=36.25%
Scheme 2: Single discount of 20%
Effective Discount=20%
Scheme 3: Buy 3, Get 2 free (Total items received = 3+2=5)
Effective Discount=
Total Items
Free Items
×100=
5
2
×100=40%
Scheme 4: Buy 7, Get 3 free (Total items received = 7+3=10)
Effective Discount=
Total Items
Free Items
×100=
10
3
×100=30%
Comparing all values, Scheme 3 gives the maximum discount (40%).