Question

One day my friend Dorsey told me from LA, that he gets the same salary
in each month but when he adds up his six figure salary of two
months, three months, four months, five months or six months , each
time the figures (or digits) of his salary remains the same, but not in a
fixed order. Later, he told me that when
he adds up his salary of 7
months his total salary become 106-1. What is the salary of Dorsey?​

Answer 1

Given :   Dorsey salary  in each month but when he adds up his six figure salary of two  months, three months, four months, five months or six months , each  time the figures (or digits) of his salary remains the same, but not in a fixed order. when  he adds up his salary of 7  months his total salary become 10⁶-1.

To find : salary of Dorsey

Solution:

10⁶-1 = 1000000 - 1

= 999999

salary of 7  months   = 999999

=> salary of 1  month   = 999999/7  = 142857

2 month salary = 285714

3 month salary = 428571

4 month salary = 571428

5 month salary = 714285

6 month salary = 857142

7  months   salary = 999999

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