Divide Rs 1250 among A B C so that A gets 2 9 of B 39 s share and C gets 3 4 of A 39 s share Find th...........

Quantitative Aptitude ( CCS) Ratio, Proportion

Divide Rs. 1250 among A, B, C, so that A gets 2/9 of B's share and C gets 3/4 of A's share, Find their respective shares.

Rs. 200, Rs. 800, Rs. 250

Rs. 200, Rs. 900, Rs. 150

Rs. 150, Rs. 800, Rs. 300

Rs. 200, Rs. 900, Rs. 75

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Explanation:

Let, the b's share be x rs.
so, a's share will be = x × 2/9 rs.
c's share = 3/4 of a's share = 3/4 × 2x/9 = x/6 rs.
now,x + 2x/9 + x/6 = 1250
54x + 12x + 9x = 1250 × 54 (L.C.M.)
x = 1250 × 54 /75
x = 900 rs.
now,a's share = 2x/9 = 2(900)/9 = 200 rs