# Which of the following discount scheme is better?

Which of the following discount scheme is better?

Discount 1 – 10 %, 20 %, 15 %,
Discount 2 – 20 %, 15 %, 10 %

a. Discount 1 is better
b. Discount 2 is better
c. Both of them are equal
d. Both of them are unequal
e. None of the above

If,
Discount 1 – 10 %, 20 %, 15 %,
Discount 2 – 20 %, 15 %, 10 %

Then

Which of the following discount scheme is better?

a. Discount 1 is better
b. Discount 2 is better
c. Both of them are equal
d. Both of them are unequal
e. None of the above

Solution:

Actually, this questions is also difficult for me. Moreover, I have tried to answer here. If you find any kind of mistake here, please let me know by comment.

Explanation:

Let the total amount be equal to 100.
Now, according to the first discount scheme,
After the first discount of 10 %, the amount = 90 ………i
∴ Discount = 10

After the second discount of 20 %, the amount = (20 * 90) / 100 = 72 ……..ii
∴ Discount = 18

And, after the third discount of 15 %, the amount = (15 * 72) / 100 = 61.2 ……iii
∴ Discount = 10.8

Hence, the total discount = 10 + 18 + 10.8 = 38.8 ………..iv

Now, according to the second discount scheme,
After the first discount of 20 %, the amount = 80 ………i
∴ Discount = 20

After the second discount of 15 %, the amount = (15 * 80) / 100 = 68 ……..ii
∴ Discount = 12

And, after the third discount of 10 %, the amount = (10 * 68) / 100 = 61.2 ……iii
∴ Discount = 6.8

Hence, the total discount = 20 + 12 + 6.8 = 38.8 ………..iv

∴ Both the discount schemes result in the same saving. Hence, both the discount
schemes are equal.

Hence, the correct answer is option c.

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