1
The simple interest on a certain sum of money for 3/2 years at 18% per annum is rupees 60 less than the simple interest on the same sum for 5/2 years at 12% per annum . find the amount
Answers
Step-by-step explanation:
• Let the sum be P.
• According to the first condition,
Sum = P
Time (T) = 2.5 years
Rate of interest (R) = 12 % p.a.
• Therefore, simple interest (S.I.) = (P × R × T) / 100
=> S.I. = (P × 12 × 2.5) / 100
Or, S.I. = 0.3 P
• According to the second condition,
Sum = P
Time (T') = 3.5 years
Rate (R') = 10 % p.a.
• Therefore, simple interest (S.I.') = (P × R' × T') / 100
=> S.I.' = ( P × 10 × 3.5 ) / 100
=> S.I.' = 0.35 P
• According to the question,
S.I.' - S.I. = 40
=> 0.35 P - 0.3 P = 40
=> 0.05 P = 40
=> P = 40 / 0.05
=> P = 800
• Therefore, sum = P = Rs. 800
Answer:
Rs.2000/- is the Sum
Step-by-step explanation:
Let the Sum = x
S.I for the second instance = x * 5/2 *12/100 = x * 3/10
SI for the first instance = x * 3/2 * 18/100 = x * 27/100
as per given condition
= (x * 3/10) - ( x * 27/100) = 60
30x - 27x = 60 * 100
3x = 6000
x = 6000/3 = Rs.2000/-