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If increasing 50 by x percent gives same result as decreasing 70 by x percent & if increasing 40 by y percent gives same result as decreasing 60 by y percent. Then x is what percent of y?
  • a)
    90
  • b)
    75
  • c)
    80
  • d)
    83.33
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
If increasing 50 by x percent gives same result as decreasing 70 by x...
40 + 0.4y = 60 - 0.6y
y = 20
= 83.33
Hence, the correct option is (d).
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Community Answer
If increasing 50 by x percent gives same result as decreasing 70 by x...
Let's solve this problem algebraically:

Increasing 50 by x percent can be written as: 50 + (x/100)*50 = 50 + 0.5x

Decreasing 70 by x percent can be written as: 70 - (x/100)*70 = 70 - 0.7x

Now, we can set up the equation:

50 + 0.5x = 70 - 0.7x

Combining like terms, we get:

1.2x = 20

Dividing both sides by 1.2, we get:

x = 20/1.2

Simplifying the right side, we get:

x ≈ 16.67

Therefore, increasing 50 by approximately 16.67% gives the same result as decreasing 70 by approximately 16.67%.
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Direction: Read the passage given below and then answer the question given below the passage.During the economic boom of the Roaring Twenties, the traditional values of rural America were challenged by the Jazz Age. The average American was busy buying automobiles and household appliances, and speculating in the stock market, where big money could be made. Those appliances were bought on credit, however. Although businesses have made huge gains — 65 percent — from the mechanization of manufacturing, the average worker’s wages had only increased 8 percent.The imbalance between the rich and the poor, with 0.1 percent of society earning the same total income as 42 percent, combined with production of more and more goods and rising personal debt, could not be sustained. On Black Tuesday, October 29, 1929, the stock market crashed, triggering the Great Depression, the worst economic collapse in the history of the modern industrial world. It spread from the United States to the rest of the world, lasting from the end of 1929 until the early 1940s. With banks failing and businesses closing, more than 15 million Americans (one-quarter of the workforc e) became unemployed.President Herbert Hoover, underestimating the seriousness of the crisis, called it ‘a passing incident in our national lives,’ and assured Americans that it would be over in 60 days. A strong believer in rugged individualism, Hoover did not think the federal government should offer relief to the poverty-stricken population. Focusing on a trickle-down economic program to help finance businesses and banks, Hoover met with resistance from business executives who preferred to lay off workers. Blamed by many for the Great Depression, Hoover was widely ridiculed: an empty pocket turned inside out was called a ‘Hoover flag;’ the decrepit shantytowns springing up around the country were called ‘Hoovervilles.’Franklin Delano Roosevelt, the rich governor from New York, offered Americans a New Deal, and was elected in a landslide victory in 1932. He took quick action to attack the Depression, declaring a four-day bank holiday, during which Congress passed the Emergency Banking Relief Act to stabilize the banking system. During the first 100 days of his administration, Roosevelt laid the groundwork for his New Deal remedies that would rescue the country from the depths of despair.The New Deal programs created a liberal political alliance of labor unions, blacks and other minorities, some farmers and others receiving government relief, and intellectuals. The hardship brought on by the Depression affected Americans deeply. Since the prevailing attitude of the 1920s was that success was earned, it followed that failure was deserved. The unemployment brought on by the Depression caused self-blame and self-doubt. Men were harder hit psychologically than women were. Since men were expected to provide for their families, it was humiliating to have to ask for assistance. Although some argued that women should not be given jobs when many men were unemployed, the percentage of women working increased slightly during the Depression. Traditionally female fields of teaching and social services grew under New Deal programs. Children took on more responsibilities, sometimes finding work when their parents could not. As a result of living through the Depression, some people developed habits of careful saving and frugality, others determined to create a comfortable life for themselves.African Americans suffered more than whites, since their jobs were often taken away from them and given to whites. In 1930, 50 percent of blacks were unemployed. However, Eleanor Roosevelt championed black rights, and New Deal programs prohibited discrimination. Discrimination continued in the South, however, as a result a large number of black voters switched from the Republican to the Democrat party during the Depression.The Great Depression and the New Deal changed forever the relationship between Americans and their government. Government involvement and responsibility in caring for the needy and regulating the economy came to be expected.Q. How was wealth distributed in the society just before the Great Depression?

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If increasing 50 by x percent gives same result as decreasing 70 by x percent & if increasing 40 by y percent gives same result as decreasing 60 by y percent. Then x is what percent of y?a)90b)75c)80d)83.33Correct answer is option 'D'. Can you explain this answer?
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