Question 8 - Figure it out - Page 12, 13, 14 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

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Question 8 Mariam’s farm has a peculiar bull. One day she gave the bull 2 units of fodder and the bull ate 1 unit. The next day, she gave the bull 3 units of fodder and the bull ate 2 units. The day after, she gave the bull 4 units and the bull ate 3 units. This continued, and on the 99th day she gave the bull 100 units and the bull ate 99 units. Represent these quantities as percentages. This task can be distributed among the class. What do you observe?Let’s find the percentage quantity each day Day 1 She gave 2, ate 1 Percentage quantity bull ate = (𝑈𝑛𝑖𝑡𝑠 𝑎𝑡𝑒)/(𝑈𝑛𝑖𝑡 𝑔𝑖𝑣𝑒𝑛) × 100 % = 1/2 × 100 % = 50% Day 2 She gave 3, ate 2 Percentage quantity bull ate = (𝑈𝑛𝑖𝑡𝑠 𝑎𝑡𝑒)/(𝑈𝑛𝑖𝑡 𝑔𝑖𝑣𝑒𝑛) × 100 % = 2/3 × 100 % = 66.66…% Day 3 She gave 4, ate 3 Percentage quantity bull ate = (𝑈𝑛𝑖𝑡𝑠 𝑎𝑡𝑒)/(𝑈𝑛𝑖𝑡 𝑔𝑖𝑣𝑒𝑛) × 100 % = 3/4 × 100 % = 75% Day 99 She gave 100, ate 99 Percentage quantity bull ate = (𝑈𝑛𝑖𝑡𝑠 𝑎𝑡𝑒)/(𝑈𝑛𝑖𝑡 𝑔𝑖𝑣𝑒𝑛) × 100% = 99/100 × 100 % = 99% Thus, our observation is The percentage of fodder the bull eats is increasing every day, getting closer and closer to 𝟏𝟎𝟎%, but never quite reaching it.