Question : Raju spends 10% and 20% of his income on transport and food respectively. He spends 30% of the remaining income on clothing. He saves the rest of his income. If his saving is INR 26,460, then what will be the total expenditure on food and clothing together?
Option 1: INR 26,420
Option 2: INR 24,480
Option 3: INR 22,140
Option 4: INR 23,440
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Correct Answer: INR 22,140
Solution :
Given: Raju spends 10% and 20% of his income on transport and food respectively. He spends 30% of the remaining income on clothing.
Let Raju's income be INR $x$.
The transportation costs = 10% of $x$ = $0.10x$
The food costs = 20% of $x$ = $0.20x$
The income left over = $x - (0.10x + 0.20x)$ = $x - 0.30x$ = $0.70x$
The clothing expenses = 30% of $0.70x$ = $0.30 \times 0.70x$ = $0.21x$
The income left over = $0.70x - 0.21x$ = $0.49x$
His savings account for $0.49x$ times his salary.
⇒ $0.49x=26460$
⇒ $x=$ INR 54,000
The entire cost of clothes and food = $0.20x + 0.21x$.
⇒ $0.20\times 54000+0.21\times 54000=10800+11340 =$ INR 22,140
Hence, the correct answer is INR 22,140.
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