Question

A sum of money at simple interest amounts to Rs. 690 in 3 years and to Rs. 720 in 4 years.
The initial sum of money is Rs. ____

Answer 1

Answer:

Rs. 600 is the initial sum of money.

Step-by-step explanation:

A sum of money at simple interest amounts to Rs. 690 in 3 years and to Rs. 720 in 4 years. so simple interest for 1 year will be=720-690=Rs. 30 now we have to subtract the simple interest of 3 years from Rs. 690 to get the initial sum since Rs.30 is simple interest of 1 year 3 year simple interest will be=30*3=90 rupees now=690-90=600 rupees is the initial sum of money.

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Answer 2

Answer:

Hint: Given that, a sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. Therefore, simple interest in one year is the difference between the given amounts. So simple interest for three years will be thrice the interest in one year. Now, amount = principal + interest. So initial sum = amount after 3 years – interest for 3 years.

Formula used: Amount = principle + simple interest

Step-by-step explanation:

Given that a sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years.So, amount after 4 years = amount after 3 years + simple interest in one yearTherefore, simple interest in one year

=854−815=Rs. 39

S simple interest for 3 years will be =39×3=117. Rs

The initial sum of money amounts to be Rs. 815 in three years with simple interest. Therefore the principle is = amount - interest

=815−117=698 Rs.

Therefore, the sum is Rs.698