What sum of money at simple interest, amount to Rs. 1500 in 5 years and amount
to Rs. 1200 in 3 years. Find the principal value?
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Answer:
- ₹750 will amount to ₹1500 in 5 years and to ₹1200 in 3 years.
Step-by-step explanation:
Given that:
- A sum of money amounts to ₹1500 in 5 years and ₹1200 in 3 years.
To Find:
- The principal value.
Solution:
Amount for 5 years = ₹1500
Amount for 3 years = ₹1200
Simple Interest for 2 year = Amount for 5 years - Amount for 3 years
= ₹(1500 - 1200)
= ₹300
Simple Interest for 1 year = ₹(300/2)
= ₹150
Simple Interest for 3 years = ₹(150 × 3)
= ₹450
Principal = Amount - Simple Interest
= ₹(1200 - 450)
= ₹750
Hence,
- Principal = ₹750
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