Rs. 900 is divided among A, B, and C so that A receives one-fourth as much as B, and B receives half as much as C. What is C's share?
Show answer & explanation
Correct answer: C
Explanation
Given:
Total Amount = 900
A = 1/4 of B
B = 1/2 of C
Formula:
Share from Ratio = Total Amount × (Individual Share / Total Shares)
Calculation:
Let C = x
B = x/2
A = (1/4)(x/2)
= x/8
A + B + C = 900
x/8 + x/2 + x = 900
x/8 + 4x/8 + 8x/8 = 900
13x/8 = 900
x = (900 × 8)/13
= 7200/13
= 553.85 Rupees