Class 10 Maths Chapter 3 Exercise 3.2 Question 3 (iii) | Substitution Method | NCERT Solution

In this video, we have solved Exercise 3.2 Question 3 (Part iii) of Chapter 3 (Pair of Linear Equations in Two Variables) for CBSE and State Board Class 10 Maths in Hindi. Topic: Word Problems by Substitution Method (प्रतिस्थापन विधि) Question Covered: The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. Later, she buys 3 bats and 5 balls for Rs 1750. Find the cost of each bat and each ball. (एक क्रिकेट टीम के कोच ने 7 बल्ले तथा 6 गेंदें ₹ 3800 में खरीदीं। बाद में, उसने 3 बल्ले तथा 5 गेंदें ₹ 1750 में खरीदीं। प्रत्येक बल्ले और प्रत्येक गेंद का मूल्य ज्ञात कीजिए।) Topics and Steps Explained: • Let the cost of one bat = Rs x • Let the cost of one ball = Rs y • Condition 1: Cost of 7 bats and 6 balls is Rs 3800 7x + 6y = 3800 ---(1) • Condition 2: Cost of 3 bats and 5 balls is Rs 1750 3x + 5y = 1750 ---(2) • Solving by Substitution Method: From equation (2): 3x = 1750 - 5y x = (1750 - 5y) / 3 ---(3) • Substituting the value of x in equation (1): 7[(1750 - 5y) / 3] + 6y = 3800 [7 * 1750 - 35y] / 3 + 6y = 3800 [12250 - 35y + 18y] / 3 = 3800 12250 - 17y = 3800 * 3 12250 - 17y = 11400 -17y = 11400 - 12250 -17y = -850 y = -850 / -17 y = 50 • Putting y = 50 in equation (3): x = (1750 - 5 * 50) / 3 x = (1750 - 250) / 3 x = 1500 / 3 x = 500 • Final Answer: Cost of each bat (बल्ले का मूल्य) = Rs 500 Cost of each ball (गेंद का मूल्य) = Rs 50 • Easy step-by-step handwriting method for CBSE and All State Boards ----------------------------------------------- Subscribe to The Maths Paper for complete Class 10 Maths NCERT solutions with easy handwriting step-by-step methods! Video pasand aaye toh Like aur apne dosto ke sath Share zaroor karein. ----------------------------------------------- #Class10Maths #LinearEquationsInTwoVariables #SubstitutionMethod #Class10MathsChapter3 #Exercise3_2 #NCERTClass10Maths #TheMathsPaper #CBSEClass10 #Class10BoardExam #WordProblems #CricketCoachProblem