Question : 20 students of a college went to a hotel. 19 of them spent INR 175 each on their meal and the 20th student spent INR 19 more than the average of all the 20. Find the total money spent by them.
Option 1: INR 3,490
Option 2: INR 3,540
Option 3: INR 3,520
Option 4: INR 3,500
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Correct Answer: INR 3,520
Solution : Given: 19 of them spent INR 175 each on their meal. Let the 20th one spend INR $x$. We know that Average = $\frac{\text{Total money spent}}{\text{Total number of students}}$ According to the question, $x=\frac{19×175+x}{20}+19$ ⇒ $x=\frac{3325+x}{20}+19$ ⇒ $x=\frac{3325+x+380}{20}$ ⇒ $x=\frac{3325+x+380}{20}$ ⇒ $19x=3705$ $\therefore x=195$ Total money spent = $19×175+195 =3520$ So, the total money spent by them is INR 3,520. Hence, the correct answer is INR 3,520.
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