A girl was asked to multiply a number by $$\frac{7}{8}$$, instead she divided the number by $$\frac{7}{8}$$ and got the result 15 more than the correct result. The sum of the digits of the number was -
A. 4
B. 8
C. 6
D. 11
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{Let the number be x}} \cr & {\text{According to question}} \cr & \frac{x}{{7/8}} - \frac{7}{8}x = 15 \cr & \frac{8}{7}x - \frac{7}{8}x = 15 \cr & \frac{{64x - 49x}}{{56}} = 15 \cr & 15x = 15 \times 56 \cr & x = 56 \cr & {\text{Sum of digits }} \cr & = 5{\text{ }} + {\text{ }}6 \cr & = 11 \cr} $$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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