In how many years does the sum of 1200 become 1800 at the rate of simple interest of 5% per amnum?
B)20
D) 25
A) 100
С) 15
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Answer:
Solution:
Given,
Principal = Rs 1200
Total amount = Rs 1800
Rate of interest = 5 % per annum
Number of years = ?
STEP 1:
FIND THE SIMPLE INTEREST
Total amount = principal + simple interest
1800 = 1200 + simple interest
simple interest = 1800 - 1200
simple interest = 600
STEP 2:
FIND THE NUMBER OF YEARS
Thus it takes 10 years for sum of ₹ 1200 become ₹ 1800 at the rate of simple interest of 5% per annum
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Step-by-step explanation:
Step-by-step explanation:Given that:
- Sum = Rs 1200
- Amount = Rs 1800
- Rate of interest = 5% per annum
To Find:
- Time
Formula used:
- SI = A - P
- SI = (P × R × T)/100
Where,
- SI = Simple interest
- A = Amount
- P = Sum/Principal
- R = Rate of interest
- T = Time
First we have to find simple interest:
⇒ SI = A - P
⇒ SI = Rs 1800 - Rs 1200
⇒ SI = Rs 600
∴ Simple interest = Rs 600
Now finding the time:
⇒ SI = (P × R × T)/100
⇒ 600 = (1200 × 5 × T)/100
⇒ 600 = 6000T/100
⇒ 600 = 60T
⇒ T = 600/60
⇒ T = 10
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