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1. In a company, the salaries of the manager and the workers are in the ratio 2:3. If the salary of both is increased by rs.4000, the new ratio for their

salaries becomes 40:57. What is the salary of the worker? A. Rs.38000 B. Rs.33000 C. Rs.35000 D. Rs.39000 2. A mixture of liquids contains alcohol and water in the ratio of 3:2. If 6 liters of water is added to the mixture, the ratio becomes 3:4, what is the quantity of alcohol in the mixture? A. 8 ltrs B. 9 ltrs C. 12 ltrs D. 6 ltrs 3. If an employee walks at 2/3 of his usual speed, he gets late to the office by 15 mins. What time does he usually take to reach the office? A. 10 min B. 30 min C. 35 min D. 25 min

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1. Let salaries of managers = 2 N let salaries of workers be = 3 N New salaries of managers = 2 N + 4, 000 New salaries of workers = 3 N + 4, 000

Ratio = (2N+4000) / (3N+4000) = 40 : 57 by cross multiplying, 57(2N+4000) = 40(3N+4000) 114 N - 120N = 160 000 - 228 000 6 N = 68 000 N = 34 000 / 3 Previous salaries of workers: 3 N = 34,000. New salaries of workers = 3 N + 4,000 = 38, 000 ================================ Let the volume of alcohol in the mixture be 3 V litres let the volume of water in the mixture be 2 V. Now 6 litres of water are added. new ratio: (3 V) : (2 V + 6) = 3 : 4 cross multiplying denominator and numerators: 12 V = 6 V + 18 V = 3 litres Alcohol = 18 litres ======================= let the usual speed be = V let the distance be = S usual time to reach office = S / V S / (2/3 V) = S/V + 15 3/2 * S/V = S/V + 15 S/V = 30 minutes