Question 78

Logical Reasoning Aptitude Easy

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? 

(A) 50500
(B) 49000
(C) 50000
(D) 45000
✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

1. Calculating Shiva's Monthly Salary

Step 1: Define variables and express percentages as decimals

Let Shiva's monthly salary be S.
Amount given to mother = 40% of S = 0.4S.
Remaining amount = S - 0.4S = 0.6S.

Step 2: Calculate expenses from the remaining amount

Electronic gadgets = 7% of 0.6S = 0.042S.
Monthly expenses = 23% of 0.6S = 0.138S.

Step 3: Amount transferred to friend's account

Total used = 7% + 23% = 30% of 0.6S.
Remaining = 70% of 0.6S = 0.7 × 0.6S = 0.42S.

Step 4: Set up and solve equation

Mother + Friend = 41000
0.4S + 0.42S = 41000
0.82S = 41000
S = 41000 / 0.82 = 50000.

Final Answer:

Shiva's monthly salary is (C) 50000.

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