Class 10 Maths Chapter 3 Exercise 3.2 Question 3 (iv) | Taxi Charges Problem | NCERT Solution

In this video, we have solved Exercise 3.2 Question 3 (Part iv) of Chapter 3 (Pair of Linear Equations in Two Variables) for CBSE and State Board Class 10 Maths in Hindi. Topic: Taxi Charges Word Problem by Substitution Method (प्रतिस्थापन विधि) Question Covered: The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs 105 and for a journey of 15 km, the charge paid is Rs 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km? (एक नगर में टैक्सी के भाड़े में एक नियत भाड़े के अतिरिक्त चली गई दूरी पर भाड़ा सम्मिलित किया जाता है। 10 किमी दूरी के लिए भाड़ा ₹ 105 है तथा 15 किमी के लिए भाड़ा ₹ 155 है। नियत भाड़ा तथा प्रति किमी भाड़ा क्या है? एक व्यक्ति को 25 किमी यात्रा करने के लिए कितना भाड़ा देना होगा?) Topics and Steps Explained: • Let the fixed charge = Rs x • Let the charge per km = Rs y • Condition 1: Total charge for 10 km is Rs 105 x + 10y = 105 ---(1) • Condition 2: Total charge for 15 km is Rs 155 x + 15y = 155 ---(2) • Solving by Substitution Method: From equation (1): x = 105 - 10y ---(3) • Substituting value of x in equation (2): (105 - 10y) + 15y = 155 105 + 5y = 155 5y = 155 - 105 5y = 50 y = 50 / 5 y = 10 • Putting y = 10 in equation (3): x = 105 - 10(10) x = 105 - 100 x = 5 • Fixed charge (नियत भाड़ा) = Rs 5 • Charge per km (प्रति किमी भाड़ा) = Rs 10 • Charge for travelling a distance of 25 km: Total Fare = x + 25y Total Fare = 5 + 25(10) Total Fare = 5 + 250 Total Fare = Rs 255 • Final Answer: Fixed Charge = Rs 5, Charge per km = Rs 10, Total Charge for 25 km = Rs 255 • 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 #TaxiChargesProblem #WordProblems