Question

Rubina could get equal number of Rs. 55, Rs. 85 and Rs.105 tickets for a movie. She spends Rs. 2940 for all the tickets. How many of each did she buy? 
 

• A. \(10\)
• B. \(12\)
• C. \(15\)
• D. \(20\)

Hint:

When equal quantities of different-priced items are purchased, the total cost is the sum of the unit prices times the quantity. Factor out the quantity to solve directly.

Answer 1

The Correct Option is A

Solution:
Step 1 (Let the number of each type of ticket be \(n\)).
Total cost: \[ \text{Total} = 55n + 85n + 105n = (55 + 85 + 105)n \] \[ = 245n \] Step 2 (Equate to total spent).
Given total spent = \(\rupee 2940\): \[ 245n = 2940 \] \[ n = \frac{2940}{245} = 12 \] Step 3 (Check with options).
The given correct option in the sheet may be 12, but our calculation yields \(n=12\) exactly, so Option B is correct, not A. \[ {12 \ \text{(Option (b)}} \]