GG.33 Price of consumption tax included

When we buy an article, consumption tax of 5% (less than 1 yen is omitted) of the price of the article is levied.

For example, since when you buy a 1250 yen article, a 62 yen consumption tax is levied, you should pay 1312 yen including a consumption tax.

Here, 1312 yen are defined as “the price of consumption tax included” of a 1250 yen article.


(1) Find the amount of the consumption tax of the article whose “the price of consumption tax included” is 5000 yen.

(2) There are improbable prices as “the price of consumption tax included”.
What is the least price among them?

Noted that “the price of consumption tax included” is 1 yen when the price of the article is 1 yen.


(3) Find the number of improbable prices as “the price of consumption tax included” among 5000 yen or less prices.










Answer
(1) 238 yen
(2) 20 yen
(3) 238