Multiple choice

At Sunrise Finance Corporation, a financial advisor named Arjun helps his client, Neha, to plan her investments. Neha has Rs. 9,300 that she wants to divide into two parts. She wants to ensure that the simple interest earned on the first part over 2 years at a rate of 5% per annum is equal to the simple interest earned on the second part over 3 years at a rate of 7% per annum. How should Neha divide her Rs. 9,300 between the two parts to meet her goal?

  1. Rs. 7,000, Rs. 2,300

  2. Rs. 6,600, Rs. 2,700

  3. Rs. 6300, Rs. 3000

  4. Rs. 5600, Rs. 3700

  5. a
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let parts be x and 9300-x. Interest: (x * 5 * 2)/100 = ((9300-x) * 7 * 3)/100. 10x = 21(9300-x) => 10x = 195300 - 21x => 31x = 195300 => x = 6300. The other part is 3000.

AI explanation

Let the first part be x and the second part be 9300 minus x. Setting the simple interests equal gives x times 5 times 2 divided by 100 equals the quantity 9300 minus x close quantity times 7 times 3 divided by 100. This simplifies to 10x equals 195300 minus 21x, and solving for x gives 31x equals 195300, so x equals 6300. The second part is 9300 minus 6300, which is 3000, meaning the sums are Rs. 6300 and Rs. 3000.

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