Wordpandit Question of the day
Question: A person spends 40 % of his salary on his educational expenses. He spends 60 % of the money spent on educational expenses in purchasing books and one-half of the remaining in purchasing stationery items. If he saves Rs. 160 every month, which is one-fourth of the balance after spending over books and stationery items, what is his monthly salary?
1. Rs 8000
2. Rs 4800
3. Rs 9600
4. Data insufficient
Solution posted below. Click on the plus sign to view the solution.
Answer and Explanation
Answer: Option 1
Let the monthly salary be Rs 100,
The money spent on educational expenses = 40% of 100 = Rs. 40
So, the money spent on books = Rs. 60 % of 40 = Rs 24,
Money remaining = Rs. 40 – Rs. 24 = Rs. 16
Hence, money spent on Stationery = ½ of Rs. 16 = Rs 8.
So, the balance left with him = Rs 40 – Rs 32 = Rs. 8 and Savings = ¼ of Rs 8 = Rs 2.
Now, if Rs 2 corresponds to Rs 160, then Rs 100 corresponds to Rs 160 x 100/2 = Rs. 8000.
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Salary 100X
40% is 40X
60% of 40X = 24X
Half of remaining (40X-24X)/2=8X
Now after all expenses we are left with 40-(24+8) X=8X
(1/4)8X=160 => X=80 Ans = 80X = 8000
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40% of 8000 = 3200
60% of 3200 = 1920
remaining amount 3200-1920 = 1280
Half of it = 640
Savings 160 = (1/4)640
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1 Rs 8000