CAT 1998 — QA Question 13
2 Variable EquationsEasy
Passage / Data
Answer the next 2 questions based on the following information.
A cow is tethered at point A by a rope. Neither the rope nor the cow is allowed to enter ΔABC.
∠BAC = 30°
I(AB) = I(AC) = 10 m
A yearly payment to the servant is Rs. 90 plus one turban. The servant leaves the job after 9 months and receives Rs. 65 and a turban. Then find the price of the turban.
Answer & solution
Rs. 10
- B
Rs. 15
- C
Rs. 7.50
- D
Cannot be determined
Solution
Let the cost of the turban be T.
Total payment for one year = Rs. 90 + T. So the payment for 9 months should be (90 + T). But this is equal to (65 + T). Equating the two, we get T = Rs. 10.