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Given below are two statements :
Given that $$a : b = 5 : 3$$ and $$b : c = 2 : 5$$, then $$(c-a)$$ will be equal to
Statement I: $$10(a + c)$$
Statement II: $$10a+25b$$
In the light of the above statements, choose the correct answer from the options given below :
$$a:b=5:3=10:6$$, and $$b:c=2:5=6:15$$
$$a:b:c=10:6:15$$
Let us assume $$a=10k$$, $$b=6k$$, and $$c=15k$$.
Thus, $$c-a=15k-10k=5k$$
Statement I: $$10(a + c)=10(10k+15k)=250k$$
Statement II: $$10a+25b=10(10k)+25(6k)=250k$$
Neither Statement I nor Statement II is equal to (c - a) value, thus both the statements are false.
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