An auto rickshaw meter shows charges of Rs. 25 for the first two kilometres of journey and Rs. 8 for every subsequent kilometre travelled. Manas pays Rs. 249 as fare to travel from his house to his workplace. How far is workplace from his home?

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CTET Paper 1 - 20th Dec 2021 (Eng/Hin/Sans/Ben/Mar/Tel)
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  1. 24 km
  2. 27 km
  3. 30 km
  4. 33 km

Answer (Detailed Solution Below)

Option 3 : 30 km
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Detailed Solution

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Given:

Charge for first 2 km = Rs 25

The total cost of the journey = Rs 249

Calculation:

Cost of the journey for the first 2 km = 25

Cost of the remaining journey = 249 – 25 = 224

The cost of travelling 1 km after the first 2 km = Rs 8

In Rs 8 the distance travelled = 1 km

In Rs 224 the distance travelled = (1/8) × 224 = 28 km

The total distance of the journey = 2 km + 28 km = 30 km

∴ The distance between workplace and home is 30 km

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