Question
An individual 'X' earned a total
of Rs. 68,000 in December, which consisted of a fixed salary and a certain bonus. In January, the bonus increased by 10%, while the fixed salary decreased by 12.5%, resulting in a total income of Rs. 64,000. Determine the fixed salary of 'X' in December.Solution
ATQ, Let the amount of fixed salary and bonus amount be Rs. 'b' and Rs. 'a', respectively. ATQ, b + a = 68,000 ..........(I) And, {a × 1.1 + b × (7/8) } = 64,000 8.8a + 7b = 5,12,000 ..........(II) On solving, Equation (II) - 7 × Equation (I) , we get, 8.8a + 7b - 7a - 7b = 512000 - 476000 Or, 1.8a = 36,000 Or, 'a' = 20,000 So, 'b' = Rs. 48,000 Therefore, fixed salary of person 'X' = Rs. 'b' = Rs.48,000
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