Math, asked by nishabagga289, 5 days ago

A man lent * 1500 for 3 years and 1000 for 4 years at the same rate per cent. He received a total interest of 425. Find the rate per cent. Find the amount after 7 years at the same rate of interest.​

Answers

Answered by tanu48106
1

Answer:

Rate of Interest = 5%

The Amount after 7 years at the same rate of interest = ₹3375

Step by step explanation:

Let Rate of interest R = R

Case 1:

Principal P = ₹1500

Time T = 3 years

Interest = (P x R x T)/100

= (1500 x R x 3)/100

= 45R

Case 2:

Principal P = ₹1000

Time T = 4 years

Interest = (P x R x T)/100

=(1000 x R x 4)/100

= 40R

According to Question:

Total Interest Received by the man = ₹425

=> 45R + 40R = ₹425

=> 85R = ₹425

=> R = 425 ÷ 85

=> R = 5%

To Find Amount:

Case 1:

Principal P = ₹1500

Time T = 7 years

Rate of Interest R = 5%

Interest¹ = (P x R x T)/100

= (1500 x 5 x 7)/100

= ₹525

Amount¹ = Principal + Interest¹

= ₹1500 + ₹525

= ₹2025

Case 2:

Principal P = ₹1000

Time T = 7 years

Rate of Interest R = 5%

Interest²= (P x R x T)/100

= (1000 x 5 x 7)/100

= ₹350

Amount² = Principal + Interest²

= ₹1000 + ₹350

= ₹1350

Therefore,

Total amount after 7 years = amount¹ + amount²

= ₹2025 + ₹1350

= ₹3375

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