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  • Directions for question: The bar-graph given below shows the amount (in Rs) to be paid as one way toll charge by the

Directions for question:

The bar-graph given below shows the amount (in Rs) to be paid as one way toll charge by the different types of vehicles at the Dankuni Toll Plaza on National Highway 6, on the outskirts of Kolkata :

The pie-chart given below shows the percentage break-up of the different types of vehicles that crossed the same Toll Plaza on the day of Durga Puja on 3rd October, 2022 :

Answer the following questions with the aid of the data given above :

Question:

At the end of 3rd October 2022, the Dankuni Toll Plaza staff found that the average collection per vehicle that came from Cars and Light Commercial Vehicle (LCV) was Rs 126. Footage of CCTV cameras installed at the Toll Plaza exits revealed that the Light Commercial Vehicles (LCV) that had passed on that day was 20% more than the number of Cars. On that day, if 1800 Light Commercial Vehicles (LCV) passed through the Toll Plaza, then how many Cars that had passed through Dankuni Toll Plaza on the 3rd October 2022, without paying any toll amount ?

Option: 1

300


Option: 2

430


Option: 3

400


Option: 4

330


Answers (1)

best_answer

Let the number of Cars that paid the toll charges at Dankuni Toll Plaza on the 3rd October 2022 be x.

Number of Light Commercial Vehicles (LCV) that paid the toll charges at Dankuni Toll Plaza on the same date = 1800

Average collection per vehicle from Cars and Light Commercial Vehicle (LCV) = Rs 126

So, total amount collected from Cars and LCVs = Rs (x+1800)*126 

But,

The toll amount collected from x Cars = Rs x*105

The toll amount collected from 1800 LCVs = Rs 1800*140

Hence,

(x+1800)*126 = x*105 + 1800*140

or, 126x + 126*1800 = 105x + 140*1800

or, 21x = 14*1800 

or, x = 1200

Thus, the number of Cars that paid the toll charges at Dankuni Toll Plaza on the 13th October 2021 = 1200

The Light Commercial Vehicles (LCV) that had passed on that day through Dankuni Toll Plaza was 20% more than the number of Cars

So, total number of Cars that had passed through Dankuni Toll Plaza = 1800*(100/120) = 1500

Hence, number of Cars that had passed through Dankuni Toll Plaza on the 3rd October 2022, without paying any toll amount 

= 1500 – 1200 

= 300

Posted by

Pankaj

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