Question : Ayush spends 25% of the amount of money on an insurance policy, 26% on food, 23% on children’s education and 19% on recreation. He deposits the remaining amount of INR 26,600 in the bank. What is the total amount (in INR) that he spends on food and recreation together?
Option 1: 1,95,000
Option 2: 1,71,000
Option 3: 1,62,000
Option 4: 1,83,000
Correct Answer: 1,71,000
Solution : Let the total amount of money Ayush has to be $x$. He spends: 25% on insurance, which is $0.25x$. 26% on food, which is $0.26x$ 23% on children’s education, which is $0.23x$. 19% on recreation, which is $0.19x$. The total percentage spent = 25% + 26% + 23% + 19% = 93% ⇒ The remaining amount is 100% − 93% = 7% of $x$, which Ayush deposits in the bank ⇒ $0.07x$ Given that the deposited amount is 26,600 ⇒ $0.07x=26600$ ⇒ $x=\frac{26600}{0.07}$ ⇒ $x=380000$ ⇒ Food + Recreation = $0.26x+0.19x=0.45x= 0.45 × 380000=$ INR 1,71,000 Hence, the correct answer is INR 1,71,000.
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