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Percentage calculations – applying them to solve practical problems

Source: licencja: CC 0.

Obliczenia procentowe – zastosowanie w rozwiązywaniu praktycznych problemów

Learning objectives

You will learn to do percentage calculations and use them to do text exercises.

Learning effect

  • You do percentage calculations and them to do text exercises.

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nagranie abstraktu

Revise ways of doing tasks with percents.

Task 1
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nagranie abstraktu

Open the slideshow and read information about taxes, bank deposits and bank loans.

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Pokaz multimedialny - procenty na co dzień. Instrukcja obsługi z poziomu klawiatury: 1. Uruchomienie aplikacji - ENTER, 2. Na każdym ze slajdów czytany jest automatycznie tekst alternatywny po polsku, 3. Przy pierwszym uruchomieniu na pierwszym slajdzie, czytanie tekstu po angielsku - TAB, 4. Przejście między slajdami: do następnego slajdu - TAB, do poprzedniego slajdu - TAB + SHIFT, 5. Przejście do czytania napisu po angielsku - strzałka w górę + strzałka w dół (czyta tekst po angielsku widoczny na slajdzie).
Source: GroMar, licencja: CC BY 3.0.
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nagranie abstraktu

After having completed the exercise, present results of your observations. Are they consistent with the following information?

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nagranie abstraktu
  • Net pricenet priceNet price is price without the VAT taxVAT taxVAT tax.

  • Brut pricebrut priceBrut price is price with the VAT tax.

  • Price net + VAT taxVAT taxVAT tax (from the net pricenet pricenet price) = brut pricebrut pricebrut price.

  • The VAT tax in economy is Value Added Tax.

  • Interest rateinterest rateInterest rate - is the amount charged or earned, expressed as a percentage of money we lend from or put in the bank. It is always calculated and given on an annual basis.

  • InterestsinterestsInterests – an amount that bank adds to the money put on the bank depositbank depositbank deposit, or to the amount borrowed from the bank as a loan.

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nagranie abstraktu

Use obtained information to do exercises. Write solutions and answers.

Task 2
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nagranie abstraktu

A radio with 23% VAT taxVAT taxVAT tax costs 520 zł. Calculate the net pricenet pricenet price of this radio.

Task 3
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nagranie abstraktu

Tomasz’s salary is 4600 zł brut, however, to his account he gets transferred 3610 zł. What percent of his salary is taken as tax and other services?

Task 4
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nagranie abstraktu

Zosia created a bank depositbank depositbank deposit whose interest rateinterest rateinterest rate is 2,5% per year. She put 1500 zł on it. How much were interestsinterestsinterests after one year?

Task 5
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nagranie abstraktu

A certain amount was put on a bank depositbank depositbank deposit of 4% interest per year. After a year the amount was 2600 zł. How much money was put in the bank?

Task 6
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nagranie abstraktu

Wojtek took a loan whose interest rateinterest rateinterest rate was 12%. What was the amount of the loan if interestsinterestsinterests were 1740 zł?

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nagranie abstraktu

The teacher evaluates the students’ work and clarifies doubts.

Task 7

An extra task:

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When we put money on the bank depositbank depositbank deposit, we pay 19% tax from the income of this deposit.

Task 8
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nagranie abstraktu

Do the revision exercises.

Remember:

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nagranie abstraktu
  • Net pricenet priceNet price is price without the VAT taxVAT taxVAT tax.

  • Brut pricebrut priceBrut price is price with the VAT tax.

  • Price net + VAT taxVAT taxVAT tax (from the net pricenet pricenet price) = brut pricebrut pricebrut price.

  • The VAT tax in economy is Value Added Tax.

  • Interest rateinterest rateInterest rate - is the amount charged or earned, expressed as a percentage of money we lend from or put in the bank. It is always calculated and given on an annual basis.

  • InterestsinterestsInterests – an amount that bank adds to the money put on the bank depositbank depositbank deposit, or to the amount borrowed from the bank as a loan.

Exercises

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Exercise 1
Wersja alternatywna ćwiczenia: Adam makes 2106 net per month and 2600 brut. The tax he pays from his salary is. Możliwe odpowiedzi: 1. 81%, 2. 19%, 3. 77%, 4. 23%
Exercise 2

Kasia’s parents pay 67,65 PLN per month to use the housing estate TV. This amount contains 23% tax. How much would they pay if the tax was lowered to 8%?

Exercise 3

Karolina, Anna and Piotr created bank deposits at a certain bank. Analyse information in frames about this deposits and then calculate what numbers are the unknowns p, x and y.

Write the solution and answers in English.

  • Karolina: p%, the initial amount - 1500 PLN, the amount to be paid - 1545 PLN.

  • Anna: 4%, the initial amount - x PLN, the amount to be paid - 3500 PLN.

  • Piotr: 3,6%, the initial amount - 3000 PLN, the amount to be paid - y PLN.

Exercise 4
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Wersja alternatywna ćwiczenia: Indicate which pairs of expressions or words are translated correctly. Możliwe odpowiedzi: 1. cena netto - net price, 2. podatek VAT - VAT tax, 3. oprocentowanie - interest rate, 4. odsetki - interests, 5. lokata - bank loan, 6. kredyt - bank deposit
zadanie
Source: GroMar, licencja: CC BY 3.0.
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Interaktywna gra, polegająca na łączeniu wyrazów w pary w ciągu jednej minuty. Czas zaczyna upływać wraz z rozpoczęciem gry. Jeden ruch to odkrywanie najpierw jednej potem drugiej karty z wyrazem. Każdy wyraz jest odczytywany. Kolejny ruch to odkrywanie trzeciej i czwartej karty. W ten sposób odsłuchasz wszystkie wyrazy. Nawigacja z poziomu klawiatury za pomocą strzałek, odsłuchiwanie wyrazów enterem lub spacją. Znajdź wszystkie pary wyrazów.
Source: Zespół autorski Politechniki Łódzkiej, licencja: CC BY 3.0.

Glossary

bank deposit
bank deposit

lokata

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nagranie abstraktu
bank loan
bank loan

kredyt

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wymowa w języku angielskim: bank loan
brut price
brut price

cena brutto

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wymowa w języku angielskim: brut price
interest rate
interest rate

oprocentowanie

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wymowa w języku angielskim: interest rate
interests
interests

odsetki

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wymowa w języku angielskim: interests
net price
net price

cena netto

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wymowa w języku angielskim: net price
percent point
percent point

punkt procentowy

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wymowa w języku angielskim: percent point
VAT tax
VAT tax

podatek VAT

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wymowa w języku angielskim: VAT tax

Keywords

brut pricebrut pricebrut price - cena z podatkiem VAT

interest rateinterest rateinterest rate

interestsinterestsinterests

net pricenet pricenet price - cena bez podatku VAT