If $$\frac{3}{4}$$ of a number is 7 more than $$\frac{1}{6}$$ of the number then $$\frac{5}{3}$$ of the number is :
A. 12
B. 18
C. 15
D. 20
Answer: Option D
Solution(By Examveda Team)
Let the number be x⇒ According to the question,
$$\eqalign{ & \Rightarrow \frac{{3x}}{4} - \frac{x}{6} = 7 \cr & \Rightarrow \frac{{9x - 2x}}{{12}} = 7 \cr & \Rightarrow 7x = 7 \times 12 \cr & \Rightarrow x = 12 \cr} $$
⇒ Then $$\frac{5}{3}$$ of the number will be
$$\eqalign{ & \Rightarrow \frac{{x \times 5}}{3} \cr & = \frac{{12 \times 5}}{3} \cr & = 20 \cr} $$
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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