Sunday, 29 May 2016

If Sardar Preetpal Singh's taxi is 14 years old

Q 1-  If Sardar Preetpal Singh's taxi is 14 years old and has a fuel efficiency of 12 km/litre of fuel, find his profit in a run from Howrah Station to Park Street (a distance of 7 km) if the stoppage time is 8 minutes. (Assume he owns the taxi)

(a) 32.25 rs     (b)   40.85 rs     (C) 34.25 rs     (d) 42.85 rs


Solution :-  Meter reading for first 2 kms is fixed at 10 rs.
                     For additional kms the meter reading changes by 5 rs.

                     If taxi is boarded and it doesn't move, meter reading for first 10 mins is fixed at 10rs.
                 For additional mins the meter reading changes by 1 rs.

                 Amount of distance traveled =  For first 2 kms + For rest of the kms
                                                        = 10 + 25
                                                        = 35 rs.
                 Meter reading  = Amount of time waited + Amount of distance traveled
                                     = 8 + 35
                                     = 43 rs.
                 Customer pays 20% over meter reading.
                 Amount Customer paid = 43*1.2
                                                = 51.6
                 Cost of running = Fuel efficiency
                                      = 7*1.25   (For 7 kms and petrol rate 15 rs/litre)
                                      = 8.75   (petrol rs 1.25 rs/kms)

                 Profit = 51.6 - 8.75
                         = 42.85 rs.

Hence , (d) 42.85

13 comments:

  1. how is the fuel efficiency 7*1.25,how is the value 1.25 derived?

    ReplyDelete
    Replies
    1. 12km covered with 1 litre (15 rs). hence for 7km it should be 7 *(15/12) which is 7 * 1.25

      Delete
    2. 15rs - 12 km then
      ? rs - 7 km do cross multiplication

      Delete
  2. Why depreciation price is not added?

    ReplyDelete
  3. Depreciation is charged only for the first 10 years.

    ReplyDelete
  4. Why are we taking price of time waited to be 8 when the first 10 minutes waiting time is fixed at ₹10.

    ReplyDelete
    Replies
    1. Because it is applied only when taxi is boarded and waiting at the same place for other to arrive it seems

      Delete
    2. But still it's written every additional minute cost 1 more so from the word additional we can still conclude that it's talking about 10rs as fixed for first 10 mins. Explain this

      Delete
  5. Where is the 1.2 that we multiplied with meter reading coming from ? It's said 20% na , we would have multiplied 1/5 there

    ReplyDelete
  6. As it is 20% more it should be understood as some value(X) and 20% more that value.
    X and 20%(X)=1/5x
    (i.e X+X/5= X(1+1/5)= X(6/5)=X(1.2)

    ReplyDelete
  7. What is percentage profit for sardar preetpal singh

    ReplyDelete