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A sum of Rs. 5200 is lent out in two parts in such a way that the interest on one part at 10% for 5 years is equal to that on the other part at 9% for 6 years. The sum lent out at 9% is ?
- A2700
- B1350
- C2500
- D1250
Answer not set
Discussion 1
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CCommunity
Now formula for simple interest can be given as
⇒ SI = (P × T × R)/100
Where,
SI = Simple Interest
P = Principal amount
T = Time Period
R = Rate of Interest
Let the principal lent at 10% be X, therefore the principal lent at 9% will be (5200 - X)
Now,
Interest on principal lent at 10% for 5 years = Interest on principal lent at 9% for 6 years
⇒ X × 5 × 10/100 = (5200 - X) × 6 × 9/100
⇒ 50X =280800 - 54X
⇒ 104X = 280800
⇒ X = Rs. 2700
∴ The amount of Rs. 2700 is lent at 10%
⇒ The amount lent at 9% = 5200 - X = 5200 - 2700 = Rs. 2500
∴ The amount lent at 9% = Rs. 2500
⇒ SI = (P × T × R)/100
Where,
SI = Simple Interest
P = Principal amount
T = Time Period
R = Rate of Interest
Let the principal lent at 10% be X, therefore the principal lent at 9% will be (5200 - X)
Now,
Interest on principal lent at 10% for 5 years = Interest on principal lent at 9% for 6 years
⇒ X × 5 × 10/100 = (5200 - X) × 6 × 9/100
⇒ 50X =280800 - 54X
⇒ 104X = 280800
⇒ X = Rs. 2700
∴ The amount of Rs. 2700 is lent at 10%
⇒ The amount lent at 9% = 5200 - X = 5200 - 2700 = Rs. 2500
∴ The amount lent at 9% = Rs. 2500