A little girl goes to purchase a doll priced at Rs. 600. She is offered 4 discount options. Which option she should prefer to gain maximum advantage of the discount offered?
A. A single discount of 40%
B. Two successive discounts of 20% each
C. Two successive discounts of 30% and 10%
D. Three successive discounts of 25%, 10% and 5%
Solution(By Examveda Team)
Price of the Doll = Rs. 600
1st option:
40% discount on Rs. 600 = (600 *40)/100 = Rs. 240
2nd Option:
Two successive discount of 20% = (20+20) - {(20*20)/100} = 36% will be single equivalent discount which will be less than 40%.
3rd Option:
Two successive discount of 30% and 10% will be single equivalent will be = (30+10) - {(30*10)/100} = 37% which is also less than 40%.
4th Option:
600 ==25% diacount (-150) = =>450
450 ==10% discount ==> 405
405 == 5% discount ==> 384.75
Total Discount = 215.25 which is also less than 1st option.
Thus, she will get maximum benefit in first option.
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Option A. Discount @40% flat.
Option B. Let price be 100,
Discount = 100 x 20%=20
+ successive discount (100-20) x 20%=16
TOTAL DISCOUNT = 20 + 16 = 36%
Option C. Let price be 100,
Discount = 100 x 30%=30
+successive discount (100-30) x 10%= 7
TOTAL DISCOUNT 30 + 7 = 37%
Option D. Let price be 100,
Discount = 100 x 25% = 25
+ successive discount (100-25) x 10% = 7.5
+ successive discount (100-25-7.5) x 5% = 3.375
TOTAL DISCOUNT = 25 + 7.5 + 3.375 = 35.875%.
[As can be seen, option A reaps the maximum benefit ie, 40% of 600 = Rs.240/-]
a