At what rate per cent per annum will a sum of 7500 amount to 8427 in 2 years compounded annually a 4% B 5% C 6% D 8%?

A sum of Rs. 7500 amounts to Rs. 9075 at 10% p.a, interest being compounded yearly in a certain time. The simple interest (in Rs.) on the same sum for the same time and the same rate is:

This question was previously asked in

SSC CGL 2020 Tier-I Official Paper 4 (Held On : 16 Aug 2021 Shift 1)

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  1. 1500
  2. 1530
  3. 1480
  4. 1520

Answer (Detailed Solution Below)

Option 1 : 1500

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SSC GD Previous Paper 2 (Held On: 13 Feb 2019 Shift 1)_Hindi

100 Questions 100 Marks 90 Mins

Given:

A = 9075

P = 7500

R = 10%

Formula used:

A = P(1 + r/100)n

SI = (P × R × T)/100

where,

A = Amount

P = Principal

r = Rate of Interest

n = number of years

SI = Simple Interest

Calculation:

A = P (1 + r/100)n

⇒ 9075 = 7500( 1 + 10/100)T

⇒ 9075/7500 = (1 + 1/10)T

⇒ 121/100 = (11/10)T

⇒ (11/10)2 = (11/10)T

⇒T = 2 years

Now, 

P = 7500

R = 10%

T = 2 years

SI = P × R × T/100

⇒ (7500 × 10 × 2)/100

⇒ 1500

∴ The simple interest is 1500

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Updated On: 27-06-2022

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Answer : C

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At what rate of compound compounded annually will 7500 become 9075 in 2 years?

We have , Principal , P = Rs 7500 Time , n = 2 yrs Amount. A = P 1 + R 100 n ⇒ 9075 = 7500 1 + R 100 2 ⇒ 9075 7500 = 1 + R 100 2 ⇒ 121 100 = 1 + R 100 2 ⇒ 11 10 2 = 1 + R 100 2 ⇒ 1 + R 100 = 11 10 ⇒ R 100 = 11 10 - 1 ⇒ R 100 = 11 - 10 10 ⇒ R 100 = 1 10 ⇒ R = 10 So , rate of interest is 10.

What rate per cent per annum will a sum of 7500 give 927 as compound interest in two years?

answer is 6%p.a.

At what rate percent will the interest on Rupees 7500 be rupees 1500 in 4 years what will be the amount after 8 years?

Answer. Your answer is: Rate percent will be 5%and the amount after 8 yrs will be Rs. 9000.

At what rate percent per annum will rupees 7200 amount to rupees 7938 in 1 year if interest is compounded half yearly?

7200 to Rs. 7938 at 10% per annum when compounded half-yearly. No worries!