Divide Rs. 221 in the ratio 1 : 3 : 6 : 7. The rupees in the respective ratios are
1). 13, 39, 77 & 92
2). 13, 39, 79 & 90
3). 13, 39, 78 & 91
4). 13, 40, 80 & 91
Let the parts be x, 3x, 6x and 7x respectively.
⇒ x + 3x + 6x + 7x = 221
⇒ 17x = 221
⇒ x = 221/17 = 13
⇒ 3x = 3 × 13 = 39
⇒ 6x = 6 × 13 = 78
⇒ 7x = 7 × 13 = 91
∴ The rupees in the respective ratios are 13, 39, 78 & 91.1. What is the fourth proportional to 336, 288 and 161?
2. The ratio of 1 hour to 300 seconds is:
7. The two numbers are in the ratio 2:3 and their product is 96. The sum of the numbers is
8. If p : q : r = (y - z) : (z - x) : (x - y), then the value of px + qy + rz is