Question
How many rows are
vacant? Study the following information carefully and answer the question given below: Few persons were seated in several rows of a theatre facing towards the screen which was in North direction. The information about only few of them was known. Only one person was seated in one row. The seats were numbered in the ascending order such that the bottom most seat was 1, the seat just above that was numbered 2 and so on. The total number of seats was thrice as that of Anuj's seat number. Eri was to the immediately above Diya. Diya's seat number was six times as that of Vani's seat number. Chunnu was seated on seat number 10. Firoj was seated on a prime numbered seat somewhere above Eri and was not neighboring Chunnu. Not more than 15 persons were seated in the theatre.Solution
The total number of rows was thrice as that of Anuj's row number. Not more than 15 persons were seated in the theatre. Chunnu was seated in row number 10. With the second hint it is clear that there were maximum of 15 persons or say 15 rows in the theatre, because one person sits in one row. With the third hint it is clear that Anuj's row number was more than 3, because one of the persons Chunnu was in row number 10. Case 1: When Anuj's seat number is 5 
Case 2: When Anuj's seat number is 4 
Eri was immediyately above Diya. Diya's row number was six times as that of Vani's row number. Case 1 breaks into one more case i.e. Case 1A 
Case 2: 
Firoj was seated in a prime numbered row somewhere above Eri and was not neighbouring Chunnu. Case 2 fails, as the only prime numbered row above Eri is 11 , which is neighbouring Chunnu. Case 1A fails, as there is no prime numbered row above Eri. 
A shopkeeper sells an article for Rs 80 and earns thrice the profit that he would have earned on selling this article for Rs 69. Find the C.P of ...
When the printer is sold for Rs. 34000, the owner loses 15%. At what price must that printer be sold in order to gain 15%?
Jupiter borrowed a sum of Rs 31,500 from Mars at the rate of 14% per annum for 3 years. He added some more money in it and lent it to Saturn at the rat...
A Shopkeeper gives 5 articles free on the purchase of every 15 articles. He also allow a discount of 20% to customer and still earn 20% profit. Find the...
A shopkeeper sold an article after offering two successive discounts of 20% and 22%, respectively. The marked price of the article is Rs. 2400. If the c...
A trader bought an article for Rs. 900 and marked it 20% above of its cost price. If he sold it after giving a discount of Rs. 45 then find the profit p...
The difference between selling an item at an 18 percent loss and at a 14 percent profit is Rs. 1000. At what price should the item be sold to make a pr...
A product is priced 80% higher than its cost price and then sold for Rs. 1,224 after applying two consecutive discounts of 20% and 15%. What is the diff...
A man sold 30 articles for ₹100 and gained 20%. The number of articles he bought for ₹100 was:
The cost price of two dozen bananas is Rs. 96. After selling 18 bananas at the rate of Rs. 36 per dozen, the shopkeeper reduced the rate to Rs. 24 per d...
Relevant for Exams:
