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Question : Aman gave 30% of his monthly income to his father and of the remaining income he gave 30% to his daughter and 25% to his wife. Aman invested the amount of money remaining from his monthly income equally in three schemes. If he invested INR 42,000 in each scheme, what is Aman's monthly income (in thousands)?

Option 1: 300

Option 2: 400

Option 3: 200

Option 4: 500


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 400


Solution : Let's denote Aman's monthly income as $x$
Amount given to his father = 30 % of $x$ = 0.30 $x$
Amount remaining income = $x$ − 0.30 × $x$ = 0.70 $x$
The amount given to His daughter = 30 % of 0.70 $x$ = 0.30 × 0.70 × $x$
= 0.21 $x$
The amount is given to his wife = 25 % of 0.70 $x$ = 0.25 × 0.70 × $x$ = 0.175 $x$
Amount Remaining = 0.70 $x$ – (0.21 $x$ + 0.175 $x$) = 0.70 – 0.385 = 0.315 $x$
Amount invested in scheme = 3 × 42000 = 126000
Now, according to the question
0.315 $x$ = 126,000
⇒ $x$ = $\frac{126000}{0.315}$  = 400,000 (400 thousands)
Hence, the correct answer is 400.

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