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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Question : In a team of 10 persons, nine spent Rs. 40 each for their meal, and the remaining one spent Rs. 9 more than the average expenditure of all the 10 persons. The total expenditure for their meal was:
Option 1: Rs. 510
Option 2: Rs. 310
Option 3: Rs. 410
Option 4: Rs. 610
Question : A shopkeeper offers a 2.5% discount on cash purchases. What cash amount would Rohit pay for a cycle, the Marked price of which is Rs. 3,600?
Option 1: Rs. 3,490
Option 2: Rs. 3,500
Option 3: Rs. 3,510
Option 4: Rs. 3,520
Question : Eleven friends spent Rs. 18 each on a tour and the twelfth friend spent Rs. 11 less than the average expenditure of all twelve of them. What is the total money spent by the twelve friends?
Option 1: Rs. 204
Option 2: Rs. 215
Option 3: Rs. 212
Option 4: Rs. 208
Question : A sum of INR 1,50,000 is distributed among three persons - A, B, and C - so that they receive 20%, 30% and 50%, respectively. A receives the same amount from another sum of money which is distributed among them so that they receive 50%, 30%, and 20%, respectively. Find the total amount received from both sums of money, by B.
Option 1: INR 58,000
Option 2: INR 60,000
Option 3: INR 55,000
Option 4: INR 63,000
Question : A dealer sold an article at a loss of 2%. Had he sold it for INR 44 more, he would have gained 20%. Find the cost price of the article.
Option 1: INR 250
Option 2: INR 300
Option 3: INR 400
Option 4: INR 200
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