Question

Divide 10,750 among X, Y and Z in such a way that X: Y= 5:4 and Y: Z= 3:4.
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Answer 1

Answer:

If the prices are increased, let the amounts of A,B and C be k, 2k and 3k respectively

Then their shares are (k-3), (2k-7) and (3k - 9) respectively

(k-3) + (2k-7) + (3k - 9) = 671

6k - 19 = 671

6k = 690

k = 115

Share of A = k = 115

Share of B = 2k-7 = 2×115 - 7 = 223

Share of C = 3k-9 = 3(k - 3) = 3(115 - 3) = 3×112 = 336