Question

On a purchase of goods worth Rs. 2,00,000 a merchant has a choice between three successive discounts of 40%, 5% and 5% or, of 20%, 20%, and 10%. By choosing the better offer, he would have a discount of?


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Answer 1

40%,5%  and 5% is the better offer and he gets the discount of 115200 .

Step-by-step explanation:

• If he chooses 40%.5% and 5%

then, $200000\times(1-\dfrac{40}{100})\times (1-\dfrac{5}{100})^{2}$

=108300

• If he chooses 20%,,20%and 10%

then, $200000\times(1-\dfrac{20}{100})\times(1-\dfrac{20}{100})(1-\dfrac{10}{100})$

=115200.

• Therefore, 40%,5%  and 5% is the better offer and he gets the discount of 115200 .

Answer 2

Step-by-step explanation:

Given On a purchase of goods worth Rs. 2,00,000 a merchant has a choice between three successive discounts of 40%, 5% and 5% or, of 20%, 20%, and 10%. By choosing the better offer, he would have a discount of?

• Given A merchant has a choice. So he chooses 40%, 5% and 5%
• So it will be 60/100 x 95 / 100 x 95/100 x 2,00,000
•        = 1,08,300
• Also it will be 80/100 x 80/100 x 90 / 100 x 2,00,000
•       = 1,15,200
• Therefore the first offer is better and the merchant can save Rs 1,15,200 – 1,08,300 = Rs 6,900

Reference link will be

https://brainly.in/question/5871927