In a certain company, the ratio of the number of managers to the number of production-line workers is 5 to 72. If 8 additional production-line workers were to be hired, the ratio of the number of managers to the production-line workers would be 5 to 74. How many managers does the company have ?
Answer: B Let the initial manager = 5x and production line worker =72x If 8 more workers are to be hired..then production line worker = 72x+8 Such that the ratio becomes 5/74. Now, according to question, 5x/(72x+8) = 5/74 => x = 4. Hence, the number of manager company has = 5x = 20.
Q. No. 56:
Shyam, Gopal and Madhur are three partners in a business. Their capitals are respectively Rs 4,000, Rs 8,000 and Rs 6,000. Shyam gets 20% of total profit for managing the business. The remaining profit is divided among the three in the ratio of their capitals. At the end of the year, the profit of Shyam is Rs 2200 less than the sum of the profit of Gopal and Madhur. How much profit, Madhur will get ?
Answer: B The ratio of profit of Shyam, Gopal and Madhur is 2:4:3. Let the annual profit be p. Them Shyam will get 0.2p. And, remaining 0.8p will be distributed in the ratio of their capital. Given, [7/8 * (0.8p)] - [2/9 * (0.8p)] - 0.2p = 2200. => p = 9,000 Madhur's share = 0.8 * 9000/3 = Rs 2400.