Multiple choice

If a Ratio Taxi plying in NCR charges Rs. $150$ for $12Kms$ and Rs. $180$ for $15kms$, find the charges for $40kms$____.

  1. Rs. $400$
  2. Rs. $440$
  3. Rs. $430$
  4. Rs. $450$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Charges: 150/12 = 12.5 per km. 180/15 = 12 per km. The rate is not constant. Let charge = mx + c. 12m + c = 150, 15m + c = 180. Subtracting: 3m = 30, m = 10. Then 120 + c = 150, c = 30. For 40km: 10*40 + 30 = 430.