Q. 4.     Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.

            (a) 25\; cm:1\; m\; and\; Rs.40:Rs.160

            (b) 39 litres : 65 litres and 6 bottles :10 bottles

            (c) 2\; kg:80\; kg\; and\; 25\; g:625\; g

            (d) 200\; mL:2.5\; litre\; and\; Rs.4:Rs.50

Answers (1)

 (a) 25\; cm:1\; m\; and\; Rs.40:Rs.160

            \frac{25}{100}=\frac{1}{4}...........(1)

          \frac{40}{160}=\frac{1}{4}...........(2)

As we can see (1) and (2) are equal, they are in proportion.

Middle Terms: 1 m and Rs 40 

Extreme Terms: 25 cm and Rs 160.

(b) 39 litres: litres and 6 bottles :10 bottles

            

          \frac{39}{65}=\frac{3}{5}...........(1)

          \frac{6}{10}=\frac{3}{5}...........(2)

As we can see (1) and (2) are equal, they are in proportion.

Middle Terms: 65 litres and 6 bottles

Extreme Terms: 39 litres and 10 bottles.

(c) 2\; kg:80\; kg\; and\; 25\; g:625\; g

            

            \frac{2}{80}=\frac{1}{40}...........(1)

          \frac{25}{626}=\frac{1}{25}...........(2)

As we can see (1) and (2) are not equal, they are not in proportion.

 

(d) 200\; mL:2.5\; litre\; and\; Rs.4:Rs.50

           \frac{200}{2500}=\frac{2}{25}...........(1)

          \frac{4}{50}=\frac{2}{50}...........(2)

As we can see (1) and (2) are equal, they are in proportion.

Middle Terms: 2.5 litres and Rs 4

Extreme Terms:200 mL and Rs 50.

Most Viewed Questions

Related Chapters

Preparation Products

Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 40000/-
Buy Now
Knockout NEET 2025

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 45000/-
Buy Now
NEET Foundation + Knockout NEET 2024

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 54999/- ₹ 42499/-
Buy Now
NEET Foundation + Knockout NEET 2024 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
NEET Foundation + Knockout NEET 2025 (Easy Installment)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 3999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions