Class 8 Ratio Case Study Questions with Answers

Class 8 Ratio Case Study Questions with Answers

Class 8 Ratio Case Study Questions with Answers

Class 8 Ratio Case Study Questions with Answers help students understand ratios through real-life situations. Moreover, these questions encourage logical thinking and improve accuracy. This study material includes solved examples designed to make ratio concepts easier and more practical for everyday learning.

Importance of Ratio Case Study Questions

These case study questions strengthen a student’s ability to compare quantities and apply proportional reasoning. Furthermore, the detailed answers guide learners step by step, ensuring better conceptual clarity. As a result, students become more confident when solving higher-order problems.

How to Use This Study Material

Students should first read the scenario, then analyze the given data, and finally apply the ratio method. Additionally, solving these questions regularly helps improve speed and enhances exam readiness effectively.

Case Study 1: Class 8 Ratio Case Study Questions with Answers

In a community kitchen, a group of volunteers prepares food packets for people during a festival. On the first day, they prepared food for **120 people** using **15 kilograms of rice**, **8 kilograms of lentils**, and **6 liters of oil**. The kitchen in-charge maintains a ratio chart to ensure consistency in taste and nutrition. The standard ratio of rice, lentils, and oil used per food packet is maintained as **5 : 3 : 2**.

On the second day, the number of people expected increased, and the volunteers needed to scale the recipe accordingly. However, due to increased demand in the market, the price of rice rose, and the shopkeeper agreed to supply only limited quantities. The team now had to decide how to adjust the ingredients proportionally while staying within limits.

One volunteer suggested applying the **unitary method** to calculate how much ingredient is required for one food packet and then scale it up. Another volunteer suggested checking if the quantities used on the first day were in the correct ratio or if adjustments were needed. The task involved understanding **direct proportion**, **inverse proportion**, and proper use of ratios to avoid scarcity or wastage of food during the event.

1. On the first day, what is the ratio of rice, lentils, and oil used?
Solution:

Given quantities: rice = 15 kg, lentils = 8 kg, oil = 6 liters. Their ratio is directly **15 : 8 : 6**.

Correct Answer: (b)

2. If 15 kilograms of rice serve 120 people, how much rice is needed for 200 people using direct proportion?
Solution:

Rice per person = $15 / 120 = 0.125$ kg. For 200 people: $0.125 \times 200 = 25$ kg.

Correct Answer: (b)

3. The standard recipe ratio is 5 : 3 : 2. If lentils used are 12 kg, how much rice should be used to maintain the ratio?
Solution:

Let rice be $x$. $\frac{\text{Rice}}{\text{Lentils}} = \frac{5}{3}$. $\frac{x}{12} = \frac{5}{3}$. Cross multiply: $3x = 60$. $x = 20$ kg.

Correct Answer: (b)

4. If the shopkeeper restricts oil supply to 10 liters maximum, and the number of people increases proportionally from 120 to 180, is the available oil sufficient?
Solution:

Oil for 120 people = 6 liters. Required oil for 180 people: $O = \frac{6}{120} \times 180 = 9$ liters. Available oil (10 liters) is sufficient.

Correct Answer: (a)

5. If rice price increases and volunteers reduce rice quantity by 20 percent, what will be the new quantity needed for 120 people?
Solution:

Original rice = 15 kg. Reduction = 20% of $15 = 3$ kg. New quantity = $15 – 3 = 12$ kg.

Correct Answer: (b)

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