4,300 becomes 4,644 in 2 years at simple interest find the principle amount that will become 10,104 in 5 years at same rate of interest ?
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Answer:
you have to total them your answer will be 19,408 l hope it helps. thanks.
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- The principal amount that will become c) Rs. 8420.
Step-by-step explanation:
- Given that:
Rs. 4,300 becomes Rs. 4,644 in 2 years at simple interest..
- To Find:
The principal amount that will become Rs. 10,104 in 5 years at the same rate of interest.
- Formula used:
S.I. = A - P = (P × R × T)/100
Where,
- S.I. = Simple interest
- A = Amount = Rs. 4,644
- P = Principal = Rs. 4,300
- R = Rate
- T = Time = 2 years
- Finding the rate of interest:
S.I. = 4644 - 4300 = (4300 × R × 2)/100
- ⟶ 344 = 8600R/100
- ⟶ 344 = 86R
- ⟶ R = 344/86
- ⟶ R = 4
∴ Rate of interest = 4% p.a.
Now we have:
- Let Principal be P.
- A = Amount = Rs. 10,104
- R = Rate = 4% p.a.
- T = Time = 5 years
- Finding the principal amount:
S.I. = 10104 - P = (P × 4 × 5)/100
⟶ 10104 - P = 20P/100
⟶ 10104 - P = 2P/10
⟶ 10(10104 - P) = 2P
⟶ 101040 - 10P = 2P
⟶ 101040 = 2P + 10P
⟶ 101040 = 12P
⟶ P = 101040/12
⟶ P = 8420
∴ Principal amount = Rs 8,420
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