Multiple choice

Nitish borrowed Rs. 900 at the rate of 4% p.a. and Rs. 1100 at the rate of 5% p.a. for the same duration. He had to pay Rs. 364 in all as simple interest. Find the time period

  1. 2 years

  2. 3 years

  3. 4 years

  4. 7 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Simple Interest = (P1*R1*T/100) + (P2*R2*T/100) = 364. (900*4*T/100) + (1100*5*T/100) = 364. 36T + 55T = 364. 91T = 364. T = 4.

AI explanation

Using the simple interest formula, the total interest is the sum of the interest on both amounts, so 364 equals (900 multiplied by 4 multiplied by time) divided by 100 plus (1100 multiplied by 5 multiplied by time) divided by 100. This simplifies to 364 equals 36 times the time plus 55 times the time, giving 364 equals 91 times the time. Dividing 364 by 91 gives a time period of 4 years.

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