Rates and percentages in real life

Problems about rates and proportions in a real financial context: the fixed portions of wealth in the rulings on zakat.

Lesson 2 of 2 2 of 8 in the course

Course map

Draft: this lesson was written with AI help and has not yet been read by a human editor.

What your class asks

This lesson asks you to pose and solve problems about rates, percentages and proportions in various contexts. The museum offers one context, the fixed portions in zakat, and no worked problems, and it gives the portions as one author lists a rule, not as guidance; the other contexts are for your class to bring. 1

Curriculum expectations, with their official codes

  • B3.5 pose and solve problems involving rates, percentages, and proportions in various contexts, including contexts connected to real-life applications of data, measurement, geometry, linear relations, and financial literacy

The lesson

How do you turn "a quarter-tenth" and "a tenth" into percentages?

Start from the fraction each name states, then write it as a percentage and as a decimal. Compare the portions: which is largest, and by how many times?

Go deeper

Read the record's definition slowly. The jurists define zakat as the transfer of a fixed portion of a defined wealth to a defined recipient 2 3: the portion, the wealth and the recipient are each fixed. The record then names the book that sets the thresholds down. Abu'l-Wafa' al-Maraghi lists them in his Qadaya, beginning with five camels, thirty cattle and forty sheep 4. The word itself has its own account. In his commentary on Qur'an 2:43, al-Tabari says the root of zakat is growth and increase of wealth, and it is so called because God increases what remains with its owner when he gives it out. He gives a second possible sense, that it purifies what is left of the wealth, and says he prefers this second sense 5 6.

How do we know?

The record gives the thresholds and rates as one author lists them, in one book, and cites its pages 4 7. The definition rests on the same book, which reports what the jurists define 2 3. Al-Tabari is a different kind of witness: a commentary on the meaning of a word, not a list of amounts 5. Ask of each: what can one author's list tell you about what the schools held, and what can it not tell you?

Think about it

The record gives its portions as one author lists them. Take a position and answer the strongest objection to it: may a student treat Abu'l-Wafa' al-Maraghi's list as "the rate of zakat", or only as "the rate in this author's list"?

Into the museum

  • Zakat (alms tax): the definition, the thresholds, the rates and the commentators on the word.
  • Sadaqa: how the jurists use a word that covers zakat and voluntary alms.
  • Saving (idkhar): where the jurists place wealth whose zakat is unpaid.

Try this

Read the Overview section of Zakat (alms tax), where Abu al-Wafa al-Maraghi lists the thresholds and rates, and no further. Write three problems of your own, each using a different portion the record names and an imagined amount, and solve them with percentages.

Check yourself

Nothing here is marked or sent anywhere. It is for you.

Which of these did you meet in this lesson?

Not in this lesson. Look again at the cards above.

Yes. That is the one from this lesson.

Not in this lesson. Look again at the cards above.

In your own words: what does Zakat (alms tax) have to do with this lesson?

Compare with the card

Fixed portions of wealth. The jurists define zakat as the transfer of a fixed portion of a defined wealth to a defined recipient. As Abu al-Wafa al-Maraghi lists them in his Qadaya, the portions are: a quarter-tenth, one fortieth, on twenty mithqals of gold and two hundred dirhams of silver; a tenth on crops watered by rain and half of it, one twentieth, on crops watered by devices; and a fifth on minerals and buried treasure. Write each portion as a percentage. If a rain-fed field yields eight hundred kilograms, what is a tenth of it?

I can now

Notes

  1. 1. Ontario Ministry of Education, The Ontario Curriculum: Mathematics
  2. 2. Issues of Work and Wealth in Islam — Abu al-Wafa al-Maraghi, p. 43
  3. 3. Issues of Work and Wealth in Islam — Abu al-Wafa al-Maraghi, p. 45
  4. 4. Issues of Work and Wealth in Islam — Abu al-Wafa al-Maraghi, p. 46
  5. 5. Jami' al-Bayan 'an Ta'wil Ay al-Qur'an, ed. Ahmad Muhammad Shakir and Mahmud Muhammad Shakir, vol. 1 (Maktabat Ibn Taymiyya, Cairo), p. 573
  6. 6. Jami' al-Bayan 'an Ta'wil Ay al-Qur'an, ed. Ahmad Muhammad Shakir and Mahmud Muhammad Shakir, vol. 1 (Maktabat Ibn Taymiyya, Cairo), p. 574
  7. 7. Issues of Work and Wealth in Islam — Abu al-Wafa al-Maraghi, p. 47
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