Multiple choice

A and B borrow a total sum of Rs. 30000 from C at 4% p.a. for 5 years and 5% for 4 years, respectively. Find out the sum borrowed by A, if A's interest is double than that of B's interest.

  1. Rs. 10000

  2. Rs. 20000

  3. Rs. 18000

  4. Rs. 15000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A borrow x, then B borrows 30000-x. Interest for A is (x*4*5)/100 = 0.2x. Interest for B is ((30000-x)*5*4)/100 = 0.2(30000-x). Given 0.2x = 2 * 0.2(30000-x), so x = 2(30000-x), 3x = 60000, x = 20000.

AI explanation

Let B's sum be y, meaning A's sum is (30000 - y). B's simple interest is (y * 5 * 4) / 100 = 0.2y, and A's simple interest is ((30000 - y) * 4 * 5) / 100 = 6000 - 0.2y. Since A's interest is double B's, 6000 - 0.2y = 2(0.2y), so 6000 = 0.6y and y = 10000. Therefore, the sum borrowed by A is 30000 - 10000 = Rs. 20000.

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