In a ratio of 5 : 2 : 4 : 3 for A, B, C, and D respectively, if C gets 2000 more than B, how much does B get?
In a ratio of 5 : 2 : 4 : 3 for A, B, C, and D respectively, if C gets 2000 more than B, how much does B get?
(a) 1500
(b) 2500
(c) 3000
(d) 2000
Solution:If A, B, C, and D are expressed as multiples of x, then A = 5x, B = 2x, C = 4x, and D = 3x. The condition that C is 2000 more than B translates into the equation 4x - 2x = 2000.
The equation simplifies to 2x = 2000. From this equation, x = 1000. Therefore, B = 2x.
Substituting the value of x into the equation gives B = 2 × 1000 = 2000.