Simple and Compound Interest Questions

Multiple choice
  1. $10:15:20$
  2. $110:115:120$
  3. $\displaystyle\frac{1}{10}:\frac{1}{15}:\frac{1}{20}$
  4. $\displaystyle\frac{1}{110}:\frac{1}{115}:\frac{1}{120}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the parts be P1, P2, P3. Amounts are P1(1 + 0.05*2) = P2(1 + 0.05*3) = P3(1 + 0.05*4). This is 1.10P1 = 1.15P2 = 1.20P3. The ratio P1:P2:P3 is 1/1.10 : 1/1.15 : 1/1.20.

Multiple choice
  1. $12.5$ $\%$
  2. $14$ $\%$
  3. $18$ $\%$
  4. None of the above

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total deposited = 1800 * 48 = 86400. Interest = 108450 - 86400 = 22050. Using the recurring deposit formula I = P * n(n+1)/2 * r/(12*100), we get 22050 = 1800 * 1176 * r/1200, giving r = 12.5%. Option A matches.

Multiple choice
  1. Rs.$9,811$
  2. Rs$.10,010$
  3. Rs.$13,526$
  4. Rs.$15,530$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Time from May 24 to Oct 17: May (7 days) + June (30) + July (31) + Aug (31) + Sept (30) + Oct (17) = 146 days. 146 days = 146/365 years = 0.4 years. Amount = P(1 + RT/100) = P(1 + 5*0.4/100) = P(1 + 0.02) = 1.02P. 10210.20 = 1.02P => P = 10010.