Question 69

If a% of 240 is c and c% of a is 117.6, then the value of a + c is:

Given,

a% of 240 is c

$$=$$>  $$\frac{a}{100}\times240=c$$

$$=$$>  $$c=\frac{240a}{100}$$ .............(1)

c% of a is 117.6

$$=$$>  $$\frac{c}{100}\times a=117.6$$

$$=$$>  $$c=\frac{11760}{a}$$

$$=$$>  $$\frac{240a}{100}=\frac{11760}{a}$$    [From (1)]

$$=$$>  $$a^2=4900$$

$$=$$>  $$a=70$$

$$\therefore\ a+c=a+\frac{240a}{100}=70+\frac{240\times70}{100}=70+168=238$$

Hence, the correct answer is Option D

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