Simple interest
- A sum of ₹400 amounts to ₹480 in 4 years. What will it amount to if the rate of interest is increased by 2%?
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Given that , Principal = ₹ 400 and Amount = ₹ 480
Simple Interest = Amount - Principal = ₹(480 – 400) = ₹80
As we know that ,SI = P × R × T 100 ∴ 80 = 400 × r × 4 ⇒ r = 5 100
Now, r = 7% (2% increase)
Correct Option: C
Given that , Principal = ₹ 400 and Amount = ₹ 480
Simple Interest = Amount - Principal = ₹(480 – 400) = ₹80
As we know that ,SI = P × R × T 100 ∴ 80 = 400 × r × 4 ⇒ r = 5 100
Now, r = 7% (2% increase)∴ S.I = 400 × 7 × 4 = 112 100
∴ Amount = Principal + SI = ₹ (400 + 112) = ₹ 512
- A sum of Rs. 4000 is lent out in two parts, one at 8% simple interest and the other at 10% simple interest. If the annual interest is Rs. 352, the sum lent at 8% is
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Let Principal lent at 8% S.I. = Rs. p.
∴ Principal lent at 10% S.I. = Rs. (4000 – p)
We know that ,S.I = Principal × Time × Rate 100
From the question ,∴ p × 8 + (4000 - p) × 10 = 352 100 100
Correct Option: C
Let Principal lent at 8% S.I. = Rs. p.
∴ Principal lent at 10% S.I. = Rs. (4000 – p)
We know that ,S.I = Principal × Time × Rate 100
From the question ,∴ p × 8 + (4000 - p) × 10 = 352 100 100
⇒ 8p + 40000 – 10p = 35200
⇒ 2p = 40000 – 35200 = 4800⇒ p = 4800 = Rs. 2400 2
- If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :
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According to question ,
Principal = 10 Interest 3 ⇒ Interest = 3 Principal 10 ∴ Rate = Simple Interest × 100 Principal × Time
Correct Option: B
According to question ,
Principal = 10 Interest 3 ⇒ Interest = 3 Principal 10 ∴ Rate = Simple Interest × 100 Principal × Time Rate = 3 × 100 = 6% per annum 10 5
- If ratio of principal and simple interest for 1 year is 25 : 1, then the rate of interest is
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Given that , Principal : Interest = 25 : 1
⇒ Interest : Principal = 1 : 25∴ Rate = Simple Interest × 100 Principal × Time Rate = 1 × 100 25 Correct Option: A
Given that , Principal : Interest = 25 : 1
⇒ Interest : Principal = 1 : 25∴ Rate = Simple Interest × 100 Principal × Time Rate = 1 × 100 = 4% per annum 25
- 12,000 is divided into two parts so that the simple interest on the first part for 3 years at 12% per annum may be equal to the simple interest on the second part for 4 1 2 years at 16% per annum. The ratio of the first part to the second part is
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We can find the required answer with the help of given formula ,
Let First part = Rs. p and second part = (12000 – p )
According to question ,∴ p × 3 × 12 = (12000 - p) × 9 × 16 100 200 ⇒ p 1200 - p
Correct Option: A
We can find the required answer with the help of given formula ,
Let First part = Rs. p and second part = (12000 – p )
According to question ,∴ p × 3 × 12 = (12000 - p) × 9 × 16 100 200 ⇒ p 1200 - p Required answer = 9 × 16 × 100 = 2 = 2 : 1 3 × 12 × 200 1
