15. A sum of money at interest amount to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is [2013] (a) Rs. 650 (b) Rs. 690 (c) Rs. 698 (d) Rs. 700
Answers
option (c)698 is the right qnswer
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 year
Therefore, simple interest in one year =854−815=Rs. 39
So 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
Sum of money + 3 year interest= 815
Sum of money + 4 year interest =854
Interest Amount Per year =854-815
=39
Interest for 3 years = 39*3 = 117
Sum of money = 815-117
Answer - (c) 698