Shiva gave 40% of his monthly salary to his mother from the remaining he used 7% for electronic gadgets and 23% he kept aside for his monthly expenses. The remaining amount he transferred to his friend's account. The sum of the amount he gave to his mother and he transferred to his friend account was 41000. What was Shiva's monthly salary?
Step-by-step Solution:
Let Shiva's monthly salary be S.
Amount given to mother = 40% of S = 0.4S.
Remaining amount = S - 0.4S = 0.6S.
Electronic gadgets = 7% of 0.6S = 0.042S.
Monthly expenses = 23% of 0.6S = 0.138S.
Total used = 7% + 23% = 30% of 0.6S.
Remaining = 70% of 0.6S = 0.7 × 0.6S = 0.42S.
Mother + Friend = 41000
0.4S + 0.42S = 41000
0.82S = 41000
S = 41000 / 0.82 = 50000.
Shiva's monthly salary is (C) 50000.