A shopkeeper offers the following four schemes. Which scheme has the maximum discount percentage?
a) Two successive discounts of 22% and 25%
b) Buy 3, get 2 free
c) Buy 5, get 4 free
d) Buy 4, get 3 free
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. c
4 schemes are offered by shopkeepers.
S.P. = (1 - x/100) × (1 - y/100) × M.P. [Where, S.P. = Selling price , M.P. = Marked price , x and y = successive discounts respectively]
Discount =( M.P. - S.P.)
Discount% = ( Discount /M.P. )× 100
Let us assume the Marked price is Rs100
Considering condition (a) - (Two successive discounts of 22% and 25%)
x = 22% , y = 25%
S.P. = (1 - 22/100) × (1 - 25/100) × 100 = 78/100 × 75/100 × 100 = Rs58.5
Discount = ( 100 - 58.5) = Rs41.5
Discount% =( 41.5/100) × 100 = 41.5%
Considering condition ( b) - (Buy 3 get 2 free)
We have assumed the Marked price of 1 article = Rs100
Hence, M.P. of 5 articles = Rs500
2 articles are free.
S.P. of 3 articles = Rs300
Discount = ( 500 - 300) = Rs200
Discount% = (200/500) × 100 = 40%
Considering condition (c) - (Buy 5 get 4 free)
M.P. of 9 articles = Rs900
4 articles are free.
S.P. of 5 articles = Rs500
Discount = ( 900 - 500) = Rs400
Discount% = (400/900) × 100 = 44.44%
Considering condition (d) - (Buy 4 get 3 free)
M.P. of 7 articles Rs700
3 articles are free.
S.P. of 4 articles = Rs400
Discount = ( 700 - 400) = Rs300
Discount% = (300/700) × 100 = 42.85%
Since condition (c) i.e. Buy 5 get 4 free has a maximum discount % i.e. 44.44%.