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QPervez, Sunny, and Ashu's spending ratios are 16: 12: 9 and their savings are 20%, 25%, and 40% of their income, respectively. Find Sunny's salary based on the total income of Rs 1530.
ID: #4741
Ratio and Proportion
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Ratio and ProportionTopic
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Let X be the total income of Pervez, Sunny, and Ashu. Then, Pervez's salary is X * 16/37. Sunny's salary is X * 12/37. Ashu's salary is X * 9/37. We are given that Pervez's saving is 20% of his income, Sunny's saving is 25% of his income, and Ashu's saving is 40% of his income, so we can set up the following equations: X * 16/37 * 20/100 = X * 16/37 * 1/5 = X * 16/185 = X * 16/185 * 100/100 = X * 16/185 * 1 X * 12/37 * 25/100 = X * 12/37 * 1/4 = X * 12/148 = X * 12/148 * 100/100 = X * 12/148 * 1 X * 9/37 * 40/100 = X * 9/37 * 2/5 = X * 9/74 = X * 9/74 * 100/100 = X * 9/74 * 1 Adding these equations gives us: X = 1530. Substituting this value back into the equation for Sunny's salary, we find that Sunny's salary is 1530 * 12/37 = 480. Therefore, Sunny's salary is 480.
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