Question

The marked price of a phone was $450. A man bought the same phone for $356.40 after us
two successive discount coupons, the first being 10%. What was the second discount rotor​

Answer 1

Answer:

20% discount for the second rotor

Answer 2

Answer:

The second discount was 12%.

Step-by-step explanation:

Given marked price of the phone was $450 and a man brought the phone at

$356.40.

Therefore marked price = $450

and selling price = $356.40

The man get two successive discount.

It is given first discount is 10%.

Let the second discount is x%.

We know,

Successive discount a% and b% on c means

$\frac{100 - a}{100} \times \frac{100 - b}{100} \times c$

According to question,

Successive discount 10% and x % on 450 = 356.40

$\frac{100 - 10}{100} \times \frac{100 - x}{100} \times 450 = 356.40 \\ \frac{90}{100} \times \frac{100 - x}{100} \times 450 = 356.40 \\ \frac{9 \times 45(100 - x)}{100} = 356.40 \\ 9 \times 45(100 - x) = 35640 \\ 40500 - 405x = 35640 \\ - 405x = 35640 - 40500 \\ - 405x = - 4860 \\ x = \frac{ - 4860}{ - 405} \\ x = 12$

Therefore the second discount was 12%.

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