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If one-seventh of a number exceeds its eleventh part by 100, then the number is :
Answer & Solution
Correct Answer:
Option
D
Let the number be x
Then,
$$\eqalign{ & \Rightarrow \frac{1}{7}x - \frac{1}{{11}}x = 100 \cr & \Rightarrow \frac{{4x}}{{77}} = 100 \cr & \Rightarrow x = \frac{{7700}}{4} \cr & \Rightarrow x = 1925 \cr} $$
Then,
$$\eqalign{ & \Rightarrow \frac{1}{7}x - \frac{1}{{11}}x = 100 \cr & \Rightarrow \frac{{4x}}{{77}} = 100 \cr & \Rightarrow x = \frac{{7700}}{4} \cr & \Rightarrow x = 1925 \cr} $$
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