Harry buys a TV priced at £1200 plus 20% VAT.
1 answer:
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Answer:
A proof can be as follows:
Step-by-step explanation:
Let be a set of
integers. By the division algorithm the possible remainders when we divide by
are
. Then, each integer
can be written as:
Observe that the set of remainders has
elements and each element has
possible values. By the Pigenhole principle at least two remainders have the same value. Suppose that this two elements are
. Then,
Where . Then,
. Then we have that
divides
.
Answer:
$4,000 is invested at 3%
Amount $2000 is invested at 2%.
Step-by-step explanation:
Here, the given total Principal Amount = $6000
Let us assume the amount M is invested at 3%
Let us amuse the amount is invested for 1 year.
So, the remaining amount ( $6000 - M) is invested at the rate 2%.
Now, SIMPLE INTEREST =
CASE 1: when Amount M is invested
Simple Interest = =
or, SI = 0.03 M
CASE 2: when Amount ( $6000 - M) is invested
Simple Interest = =
or, SI = (120 - 0.02 M)
Now, total simple interest received = $160.
⇒ 0.03 M + (120 - 0.02 M) = 160
⇒ 0.03 M + 120 - 0.02 M = 160
or, 0.01 M = 40
⇒ M = 40 / 0.01 = 4,000
or, M = 4,000
Hence, $4,000 is invested at 3%
and the amount (6000 - 4000) = $2000 is invested at 2%.