Question

79) What will be the amount if a sum of Rs.5000
is placed at compound interest for 3 years
while rate of interest for the first, second and
third years is 2% : 3% and 4%, respectively?
a) Rs.5643.12
b) Rs.5463.12
c) Rs. 6413.12
d) None​

Answer 1

Answer:

b

Step-by-step explanation:

A=P(1+(r1/100)(1+(r2/100)(1+(r3/100))

=5000(1+(2/100))(1+(3/100))(1+(4/100))

=Rs.5463.12

Answer 2

Answer: The total amount is Rs. 5463.12

Step-by-step explanation:

Given: if a sum of Rs.5000 is placed at compound interest for 3 years

while rate of interest for the first, second and third years is 2% , 3% and 4%, respectively.

To find: We have to find the total amount.

Explanation:

Step 1: We have given,

                                   Principle $= 5000Rs.$

                                         Time $= 3$ $years$

Rate of interest for first year $R_{1} = 2$%

Rate of interest for second year $R_{2} = 3$%

Rate of interest for third year $R_{3} = 5$%

                                           Amount $= ?$

Step 2: We know the formula of amount for interest 2%,3% and 5% for 3 year is given by,  

                          $A = P (1 + \frac{R_{1} }{100} )(1 + \frac{R_{2} }{100})(1 + \frac{R_{3} }{100} )$

Step 3: On substituting the value of Principle $P$,Rate of interest $R_{1} ,R_{2} and R_{3}$ in above equation we have,

                         $A = 5000 (1 + \frac{2}{100} )(1 + \frac{3}{100} )(1 +\frac{5}{100} )$

                         $A = 5000(\frac{102}{100} )(\frac{103}{100} )(\frac{105}{100} )$

                         $A = 5000(0.02)(0.03)(0.05)$

                         $A = 5000(0.00003)$

                          $A = 5463.12Rs.$

Hence, the total amount is Rs. 5463.12 .

#SPJ2

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