Multiple choice

Ramesh lends Rs. 50,000 to Suresh and Rajesh at simple interest rate of 10% and 15%, respectively. After 4 years, he earns Rs. 24,000 as interest. Find the amount (in Rs.) that he gave to Suresh and Rajesh, respectively.

  1. 10,000 and 40,000

  2. 15,000 and 35,000

  3. 24,000 and 26,000

  4. 30,000 and 20,000

  5. 40,000 and 10,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let S be amount for Suresh and R for Rajesh. S+R = 50000. Interest: (S*10*4)/100 + (R*15*4)/100 = 24000 => 0.4S + 0.6R = 24000. Solving: 0.4S + 0.6(50000-S) = 24000 => 0.4S + 30000 - 0.6S = 24000 => 0.2S = 6000 => S = 30000. Then R = 20000.

AI explanation

Let the amount given to Suresh be x, so Rajesh gets (50000 - x). Using the simple interest formula, (x * 10 * 4) / 100 + ((50000 - x) * 15 * 4) / 100 = 24000. Solving 0.4x + 30000 - 0.6x = 24000 yields 0.2x = 6000, making x = 30000. Suresh gets Rs. 30,000 and Rajesh gets Rs. 20,000.

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