Question

Shamik had invested same amount of sums at simple as well as compound interest. The time period of both the sums were 2 years and the rate of interest too was same 4% pa. At the end , he found a difference of Rs.50 in both the interests received. What was the sum invested?

A) 31250
B) 32550
C) 30000
D) 35750​

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Answer:

Sum invested was Rs 31250.

A) 31250

Step-by-step explanation:

Let principal be denoted by "p".

When the difference between simple interest and compound interest is given for 2 years, we use

Formula used:

difference = principal*$rate of interst^{2}$/(100*100)

now we have a difference= 50

rate of interest =4 per cent

time is 2 years

using the formula,

we can calculate the principal,

50=(p*4*4)/(100*100)

p= 25*25*50

p=31250

Hence, Sum invested was Rs 31250. so, option A is the final answer.

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