Question

Which is better offer: two successive discount of 20% and 10% or a single discount of 30%​

Answer 1

Answer:

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Step-by-step explanation:

Let the original value be x

Value after 2 successive discount:

20% of x = 0.2x

Value after 20% = x - 0.2x = 0.8x

5% of 0.8x = 0.05(0.8x) = 0.04x

Value after 5% discount = 0.8x - 0.04x = 0.76x

Value of a single 25% discount:

Discount = 25% of x = 0.25x

Value after discount = x - 0.25x = 0.75x

Compare the two values:

0.75x < 0.76x

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Answer 2

Answer:

Two successive discount of 20% and 10% is a btter offer.

Step-by-step explanation:

Let the original price be ₹ 100. Then,

CASE I :

First 20% discount -

20% × 100 = 20/100 × 100 = ₹20

Then, price = 100 - 20 = ₹ 80

Second 20% discount -

20% of 80 = 20/100 × 80 = ₹ 16

Then, price = 80 - 16 = ₹ 64

Third 10 % discount -

10% of 64 = 10/100 × 64 = ₹ 6.4

Then, price = ₹ 64 - ₹ 6.4 = ₹ 57.6

Hence, here after discount final price = ₹ 57.6

CASE II :

Discount of 30% -

30% of 100 = 30/100 × 100 = ₹ 30

Then, price = 100 - 30 = ₹ 70

Hence, final price after discount = ₹ 70

Clearly,

₹ 57.6 < ₹ 70

Hence,

two successive discount of 20% and 10% is a btter offer.