A sum of Rs. 1560 is divided amongst A, B, C and D such that A's share/B's share = B's share/C's share = C's share/D's share = 2/3. then A's share is :

Rs. 192

Rs. 185

Rs. 160

Rs. 154

Solution: Let A = 2x and B = 3x. Then, B/C =2/3 => C = 3*B/2 = 3*3x/2 = 9x/2. Also, C/D = 2/3 => D = 3*C/2 = 3/2 * 9x/2 = 27x/4. thus, A = 2x, B = 3x, C = 9x/2 and D = 27x/4. now, A+B+C+D = 1560 => (2x+ 3x + 9x/2 + 27x/4) = 1560 => 65x = 1560*4 <=> x = 6240/65 = 96. .'. A's share = Rs(2*96) = Rs. 192.

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