the distance of the median from the first quartile is five time the distance of the third quartile from the median calculate the coefficent of skewness
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There is no agreed definition of coefficient of skewness. However, the method of calculating skewness that uses the figures you provide is Bowley’s method, for which the formula is S = (Q₃+Q₁-2Q₂) / (Q₃-Q₁)
We can rearrange this to give S = [(Q₃-Q₂)-(Q₂-Q₁)] / [(Q₃-Q₂)+(Q₂-Q₁)]
You tell us that Q₂-Q₁=5(Q₃-Q₂).
Substituting in for Q₂-Q₁ gives S = [(Q₃-Q₂)-5(Q₃-Q₂)] / [(Q₃-Q₂)+5(Q₃-Q₂)]
Dividing top and bottom by (Q₃-Q₂) gives S = [1–5]/[1+5] = -4/6 = -2/3 = -0.667
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