CTET PAPER II 2019 · PYQ · Ratio and Proportion · medium
A sum of ₹1,710 is divided in A, B and C such that 4 times of A, 6 times of B and 9 times of C are equal. What is the difference between A and C?
A.₹360
B.₹450✓ Correct
C.₹480
D.₹540
Explanation
Given 4A = 6B = 9C = k. Then A = k/4, B = k/6, C = k/9. LCM of 4, 6, 9 is 36. So A:B:C = 9:6:4. Sum of ratios = 9+6+4 = 19. A = (9/19)×1710 = 810, B = (6/19)×1710 = 540, C = (4/19)×1710 = 360. Difference A - C = 810 - 360 = ₹450.
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