A man spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. What is the percentage increase in his savings? MCQ with Answer and Explanation
A man spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. What is the percentage increase in his savings?
A. 30%
B. 40%
C. 50%
D. 25%
Answer: Option C
Solution (By JKSSB Mock Tests)
Let original income = 100. Exp = 75. Savings = 25. New income = 120. New Exp = 75 + (10% of 75) = 82.5. New Savings = 120 - 82.5 = 37.5. Increase = 12.5. % Increase = (12.5 / 25) * 100 = 50%.
The price of a rare artifact was increased by r%. Later, the new price was decreased by r%. If the final price of the artifact is Rs. 1, what was its original price in Rs.?
Explanation:
Let original price be P. P * (1 + r/100) * (1 - r/100) = 1. P * (1 - r^2/10000) = 1. P * ((10000 - r^2) / 10000) = 1. P = 10000 / (10000 - r^2).
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