1. If 40% of a number is equal to two-third of another number, what is the ratio of the first number to the second number? Answer: 5:3 Solution: Let the numbers be x,y. 40x/100 = 2y/3, x/y = (2*100)/(3*40), x/y = 5/3 2. Two numbers are in the ratio of 3 : 4. If 5 is subtracted from each, the resulting numbers are in the ratio 2 : 3. Find the numbers. Answer: 15.20 Solution: Let the numbers be 3x,4x. 3x-5:4x-5 = 2:3, 9x-15 = 8x-10, x=5. So the numbers are 15,20 3. If a=5b=2c=4d, then a:b:c:d is Answer: 20:4:10:5 Solution: a/b = 5/1, b/c = 2/5, c/d = 2/1 (4/2 which is 2/1) a:b:c:d = n1*n2*n3 : d1*n2*n3 : d1*d2*n3 : d1*d2*d3 = 5*2*2 : 1*2*2 : 1*5*2 : 1*5*1 = 20:4:10:5 4. The ratio of earnings of A to B is 4 : 7. What is the ratio of A's earning to the combined earning? Answer: 4:11 Solution: Let the earnings be 4x,7x. Required ratio = 4x/(4x+7x) = 4/11 5. The weights of Raju and Shyam is in the ratio 5 : 7. If the difference between their weights is 12 kgs, find Shyam's weight. A...