• Numerical Ability - Interest
Question

Simple interest on a certain sum at a certain rate for 2 years in Rs.160 and compound interest on the same sum at the same rate and for the same period is Rs.170. The rate of interest per annum is:

  • A) 12%
  • B) 12.5%
  • C) 8%
  • D) 9%
  • E) None of these
Solution

Answer (b): 12.5%

Explanation:

Si for 1st year=ci for first year= 160/2 =80

Ci for 2nd year = 170-80 =90

Ci of 2nd year - si of 1st year=10

Ci for 2nd year - si for 1st year = si on the interest for first year

So, si on the Interest of 1st year= 10

10 = 80*R*1/100

R=12.5%.

Answer (b): 12.5%

Explanation:

Si for 1st year=ci for first year= 160/2 =80

Ci for 2nd year = 170-80 =90

Ci of 2nd year - si of 1st year=10

Ci for 2nd year - si for 1st year = si on the interest for first year

So, si on the Interest of 1st year= 10

10 = 80*R*1/100

R=12.5%.

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