1.

Mr. Chopra invested Rs. 21,000 with rate of interest at 25% p.a. The interest was compounded half yearly for first year and in the next year it was compounded yearly. What will be the total interest earned at the end of two years?1). Rs. 12,222.652). Rs. 11,000.503). Rs. 8,500.754). Rs. 9,800.50

Answer»

’p’ is considered the principal AMOUNT

’r’ is considered the rate of interest

’t’ is considered the number of years

C.I is the compound interest

‘n’ is the number of TIMES compound interest is calculated in a year

‘A’ is the final amount after the compound interest

For the first year:

We know that

$({\rm{A\;}} = {\rm{\;p\;}} \times {\rm{\;}}(1{\rm{\;}} + \frac{r}{{100\; \times \;n}})$)(n × t)

 $(\therefore {\rm{\;A\;}} = {\rm{\;}}21,000{\rm{\;}} \times {\rm{\;}}\left( {1{\rm{\;}} + {\rm{\;}}\frac{{25}}{{100\; \times \;2}}} \right))$(1 × 2)

∴ A = 26578.125

Thus the MONEY Mr.Chopra got after year 1 is RS 26578.125

This will be the principal amount for the 2nd year

For the second year:

$({\rm{A\;}} = {\rm{\;p\;}} \times {\rm{\;}}(1{\rm{\;}} + {\rm{\;}}\frac{r}{{100\; \times \;n}})$)(n × t)

∴ A = 26578.125 × (1 + 25/100)

∴ A = 33222.65

Thus total interest EARNED at the end of 2 years = 33222.65 – 21000 = 12222.65


Discussion

No Comment Found