20 students of a college went to a hotel. 19 of them spent Rs 175 each on their meal and the 20th student spent Rs 19 more than the average of all the 20. Find the total money spent by them.
This questions was previously asked in
ssc cgl 2023 pre
Rs 3,490
Incorrect AnswerRs 3,540
Incorrect AnswerRs 3,500
Incorrect AnswerExplanation:
- The first 19 students each spent Rs 175.
- Total spent by 19 students = 19 x 175 = Rs 3,325.
- Let the average spending of all 20 students be Rs A.
- The 20th student spends Rs (A + 19).
- Total spending of 20 students = 19 x 175 + A + 19.
- The key is finding out A, the average:
1. Total spending = 20A.
2. Set up the equation: \( 3,325 + (A+19) = 20A \).
3. Simplify to find A:
- \( 3,344 = 20A - A\)
- \( 3,344 = 19A \)
- \( A = 176 \)
- 20th student spent = Rs 176 + 19 = Rs 195.
- Total expense = Rs 3,325 + Rs 195 = Rs 3,520.
- ?? The correct answer is Option 3: Rs 3,520.
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By: Parvesh Mehta