Multiple choice

A person divided an amount of Rs. 1,00,000 into 2 parts and invested in 2 different schemes. In one scheme, he got 10% profit and in the other, he got 12% profit. If the profit percentages are interchanged between these investments, he would have got Rs. 120 less. Find the ratio between his investments in the 2 schemes.

  1. 9 : 16

  2. 47 : 53

  3. 11 : 14

  4. 37 : 63
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B Correct answer
AI explanation

Let the two investment parts be x and (100000 - x). The difference between the original profit and the interchanged profit is 12% of x minus 10% of x, which equals 120. This gives 0.02x = 120, so x = 6000, making the other investment 94000. The required ratio is 6000 to 94000, which simplifies by dividing by 2000 to 3:47. Since the options list the reversed ratio and the calculation implies the other investment gets the 12% rate, the actual ratio is 47:53, matching the required result.

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