Percent problems and financial mathematics

1003083306

Level: 
C
In a certain school, grades are given according to the rules listed below: \[\begin{array}{|c|c|} \hline \text{The percentage of the points gained} & \text{grade} \\\hline 0\%\text{ to } 49\% & 1 \\\hline 50\% \text{ to } 59\% & 2 \\\hline 60\% \text{ to } 79\% & 3 \\\hline 80\% \text{ to } 89\% & 4 \\\hline 90\% \text{ to } 94\% & 5 \\\hline 95\% \text{ to } 100\% & 6 \\\hline \end{array}\] Krysia gained \( 39 \) points from the history test. There were only \( 2 \) percentage points missing for her to get grade \( 4 \). What was the total amount of points one could get from the test?
\( 50 \) points
\( 41 \) points
\( 45 \) points
\( 55 \) points

1003083307

Level: 
C
Amount of \( 3000 \) zlotys was paid to bank \( A \) for interest-bearing investment of \( p\% \) per year. Amount \( 4000 \) zlotys was paid to bank \( B \), where the interest rate is by \( 2 \) percentage points higher than in bank \( A \). After one year, the interest earned in both banks amounted to \( 360 \) zlotys. What was the interest rate \( p \)?
\( 4\% \)
\( 4.5\% \)
\( 5\% \)
\( 2\% \)

1003083308

Level: 
C
Company \( A \) had a turnover by \( 50\% \) higher in the second quarter than in the first quarter. In the third quarter its turnover decreased by \( 20\% \) and in the fourth quarter the turnover decreased by another \( 20\% \). What was the turnover of company \( A \) in the second quarter, if in the fourth quarter it amounted to \( 1440000 \) zlotys?
\( 2250000\) zlotys
\( 1500000 \) zlotys
\( 1800000\) zlotys
\( 2000000 \) zlotys

1003090503

Level: 
C
The total weight of two alloys is \( 800\,\mathrm{kg} \). In the alloy containing \( 4.5\% \) of lead (Pb) there is by \( 19\,\mathrm{kg} \) of lead more than in the other, containing \( 4\% \) of lead. How many kilograms of lead is in each of these alloys?
\( 8 \) kilograms (\( 4\% \) Pb) and \( 27 \) kilograms (\( 4.5\% \) Pb).
\( 18 \) kilograms (\( 4\% \) Pb) and \( 37 \) kilograms (\( 4.5\% \) Pb).
\( 36 \) kilograms (\( 4\% \) Pb) and \( 55 \) kilograms (\( 4.5\% \) Pb).
\( 10 \) kilograms (\( 4\% \) Pb) and \( 29 \) kilograms (\( 4.5\% \) Pb).

1003090504

Level: 
C
Interest on two construction loans of the total value of \( 100000 \) zlotys amounts to \( 3.150 \) zlotys a year with the interest rate on one of the loans being \( 3\% \) and the other \( 3.5\% \). Calculate the amount of each of these loans.
\( 70000 \) zlotys of \( 3\% \) interest rate loan and \( 30000 \) zlotys of \( 3.5\% \) interest rate loan
\( 30000 \) zlotys of \( 3\% \) interest rate loan and \( 70000 \) zlotys of \( 3.5\% \) interest rate loan
\( 50000 \) zlotys of \( 3\% \) interest rate loan and \( 50000 \) zlotys of \( 3.5\% \) interest rate loan
\( 80000 \) zlotys of \( 3\% \) interest rate loan and \( 20000 \) zlotys of \( 3.5\% \) interest rate loan

1003090507

Level: 
C
A certain amount of money was put into a bank account for an annual deposit of \( 3.5\% \) per year. After a year the bank paid a tax in the amount of \( 14 \) zlotys from the gained interests. What amount was placed on the deposit if the interest tax amounted to \( 20\% \)?
\( 2000 \) zlotys
\( 2500 \) zlotys
\( 3000 \) zlotys
\( 1400 \) zlotys

1003090508

Level: 
C
A factory is supplied with raw materials by rail. Due to the renovation of the track, the time of passing the goods from the warehouse to the factory increased by \( 25\% \). How much did the average speed of carriage on the delivery route decrease?
by \( 20\% \)
by \( 25\% \)
by \( 4\% \)
by \( 75\% \)