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The monthly salary of a person was Rs. 50,000. He used to spend on Family expenses (E), Taxes (T), Charity (C), and the rest were his savings. E was 60% of the income, T was 20% of E, and C was 15% of T. When his salary got raised by 40%, he maintained the percentage level of E, but T becomes 30% of E and C becomes 20% of T. The difference between the two savings (in Rs.) is:1. 2202. 2503. 1304. 128 |
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Answer» Correct Answer - Option 1 : 220 Given: Monthly salary = Rs. 50,000 E = 60% of income T = 20% of E C = 15% of T After salary got raised by 40%, E = 60% of income T = 30% of E C = 20% of T Calculations: Let the initial salary be 1000x. E = 60% of 1000x ⇒ 600x T = 20% of 600x ⇒ 120x C = 15% of 120x ⇒ 18x Total expense = 600x + 120x + 18x ⇒ 738x Initial savings = 1000x - 738x ⇒ 262x After salary got raised by 40%, New salary = 1000x + 1000x × 40% ⇒ 1400x New E = 60% of 1400x ⇒ 840x New T = 30% of 840x ⇒ 252x New C = 20% of 252x ⇒ 50.4x New Total expense = 840x + 252x + 50.4x ⇒ 1142.4x New savings = 1400x - 1142.4x ⇒ 257.6x Difference in savings = 262x - 257.6x ⇒ 4.4x ∵ 1000x = Rs. 50,000 ⇒ x = 50 Difference in savings = 4.4x ⇒ 4.4 × 50 ⇒ Rs. 220 ∴ The difference between the two savings is Rs. 220. |
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