Question 69

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

Solution

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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