A, B and C donate 8%, 7% and 9%,of their salaries, respectively to a charitable trust. The salaries of A and B are same and the difference between their donations is ₹259. Thetotal donation of A and B is ₹1,185 more than that of C. The total donation ofA and C is what percentage ofthe total salaries of A, B and C? (Correct to one decimalplace)
Let the salaries of A, B and C be x, x, y.
Donation of A, B and C = 0.08x, 0.07x and 0.09z
Difference between donations of A and B = 259
0.08x - 0.07x = 259
x = 259/0.01 = 25900
Total donation of A and B = donation of A + 1185
0.08x + 0.07x = 0.09z + 1185
0.15x = 0.09z + 1185
0.09z = 0.15 $$\times $$ 25900 - 1185 = 2700
z = 2700/0.09 = 30000
Total donation of A and C = 0.08x + 0.09z
=0.08 $$\times$$ 25900 + 2700 = 2072 + 2700 = 4772
Total salaries of A, B and C = 25900 + 25900 +30000 = 81800
Required percentage = $$\frac{4772}{81800} \times 100 = 5.8%
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