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A man hires an auto rickshaw to cover a certain distance. the fare is rs 10 for the first kilometer and rs 7 for subsequent kilometer. taking total distance covered as x km and total fare as rs y (i) write a linear equation for this. (ii) the man covers a distance of 16 km and gave rs 120 to the auto driver. (iii) auto driver said, ―it is not the correct amount‖ and returned him the balance. (iv) find the correct amount paid back by the auto driver?
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A man hires an auto rickshaw to cover a certain distance. the fare is ...
Linear Equation for Auto Rickshaw Fare:
- The linear equation for the auto rickshaw fare can be written as: y = 10 + 7(x-1), where x is the total distance covered in kilometers and y is the total fare in rupees.

Man Covers 16 km and Pays Rs 120:
- Substituting x = 16 in the equation, we get y = 10 + 7(16-1) = 10 + 7(15) = 10 + 105 = 115.
- The man pays Rs 120 to the auto driver, which is more than the actual fare of Rs 115.

Auto Driver Returns the Balance:
- Since the man paid Rs 120, which is more than the actual fare, the auto driver needs to return the balance amount.
- The correct amount paid back by the auto driver can be calculated as the difference between the amount paid and the actual fare: Rs 120 - Rs 115 = Rs 5.

Explanation:
- The auto driver should return Rs 5 to the man as the balance amount since the man paid more than the actual fare of Rs 115 for the 16 km journey.
- This calculation is based on the linear equation representing the auto rickshaw fare, where the fare for the first kilometer is Rs 10 and for subsequent kilometers is Rs 7.
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A man hires an auto rickshaw to cover a certain distance. the fare is rs 10 for the first kilometer and rs 7 for subsequent kilometer. taking total distance covered as x km and total fare as rs y (i) write a linear equation for this. (ii) the man covers a distance of 16 km and gave rs 120 to the auto driver. (iii) auto driver said, ―it is not the correct amount‖ and returned him the balance. (iv) find the correct amount paid back by the auto driver?
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A man hires an auto rickshaw to cover a certain distance. the fare is rs 10 for the first kilometer and rs 7 for subsequent kilometer. taking total distance covered as x km and total fare as rs y (i) write a linear equation for this. (ii) the man covers a distance of 16 km and gave rs 120 to the auto driver. (iii) auto driver said, ―it is not the correct amount‖ and returned him the balance. (iv) find the correct amount paid back by the auto driver? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man hires an auto rickshaw to cover a certain distance. the fare is rs 10 for the first kilometer and rs 7 for subsequent kilometer. taking total distance covered as x km and total fare as rs y (i) write a linear equation for this. (ii) the man covers a distance of 16 km and gave rs 120 to the auto driver. (iii) auto driver said, ―it is not the correct amount‖ and returned him the balance. (iv) find the correct amount paid back by the auto driver? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man hires an auto rickshaw to cover a certain distance. the fare is rs 10 for the first kilometer and rs 7 for subsequent kilometer. taking total distance covered as x km and total fare as rs y (i) write a linear equation for this. (ii) the man covers a distance of 16 km and gave rs 120 to the auto driver. (iii) auto driver said, ―it is not the correct amount‖ and returned him the balance. (iv) find the correct amount paid back by the auto driver?.
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