The unknown number \(x\)
has been increased by \(20\, \%\)
and then decreased by \(5\, \%\).
The final value was \(513\).
Find \(x\).
(Round to the closest integer.)
A house price in the March was \(\$259\: 000\).
The house has not been sold for several months and the price dropped to
\(\$234\: 000\) in
August. Write the discount as percents of the original price. (Round to the tenth.)
The salary of an employee is decreased by the tax at a flat rate
\(14.5\, \%\). An employee
paid the tax \(\$3\: 683\).
Find his/her take home pay (i.e. the pre-tax income decreased by the tax).
A bike was introduced to the market with the initial price
\(\$10\: 000\) in
April. As a consequence of bad sales values, the price has been decreased by
\(20\, \%\) in June and
by another \(20\, \%\)
in September. Find the price in September.
There are \(32\) students
in the class (\(20\)
boys and \(12\)
girls). One quarter of the boys and one quarter of the girls are excellent students.
Suppose that one boy and one girl, both excellent students, move to another school.
Find the difference in the ratio of excellent students in the class before and after the
change in the class.
The shop received \(30\)
pieces of TV from the manufacturer NoName. Five TVs in this delivery
were defect. The shop also received TVs from the manufacturer
GoodName. All these TVs were perfect. The final inspection revealed that
\(10\, \%\) of
TVs were defect in total. Use these information to find out how many TVs have been
supplied from the producer GoodName.
The final score of the hockey match between teams
\(A\) and
\(B\) was
\(2 : 2\). The goaltender
of \(A\) had
success rate \(90\, \%\)
(he stopped \(90\, \%\)
of all shots on goal) and the goaltender of the team
\(B\) had fail
rate \(20\, \%\)
(\(20\, \%\) of all
shots on goal went into his net). How many shots on goal has been in the match in
total?
The price for the first issue of the book was
\(\$100\), the price for the
second issue \(\$125\).
Find the rate of sale of the second issue if the target price for the second issue is the
same as for the first issue.
The ski has been sold for a reduced price in a sale after the season. The discount
\(18\, \%\)
of the original price resumed in a price which was cheaper by
\(\$36\). Find
the original price of the ski.