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Alex invested his savings in two parts. The simple interest earned on the first part at 15% per annum for 4 years is the same as the simple interest earned on the second part at 12% per annum for 3 years. Then, the percentage of his savings invested in the first part is

Updated On: Jan 15, 2026

  • 62.50%

  • 37.50%

  • 60%

  • 40%

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The Correct Option is B

Solution and Explanation

The correct answer is B: 37.50%. Alex allocated his savings into two investments. The first investment earned 15% annual interest over 4 years, and the second earned 12% annual interest over 3 years. Let ₹x be the amount invested in the first part and ₹y be the amount invested in the second part. The interest from the first part is \(0.15\times{x}\times4\), and the interest from the second part is \(0.12\times{y}\times3\). Setting these interests equal: \(0.15\times{x}\times4=0.12\times{y}\times3\). Simplifying this equation yields \(0.6x = 0.36y\), which further reduces to \(20x=12y\). The ratio of x to y is therefore 3:5. The percentage of savings invested in the first part is calculated as \(\frac{3}{(3+5)}=\frac{3}{8}=0.375\). Converting this to a percentage, we get 37.5%. Alex invested 37.5% of his savings in the first part.
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The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.
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