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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