In what time will the interest on a certain sum of money at 7% be 11/4 of itself?

The compound interest on a sum of Rs. 20,000 at 15% p.a. for \(2 \frac{2}{3}\)years, when interest compounded yearly is:

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SSC CGL Tier 2 Quant Previous Paper 2 (Held On: 16 November 2020)

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  1. Rs. 9,000
  2. Rs. 9,095
  3. Rs. 9,908
  4. Rs. 8,896

Answer (Detailed Solution Below)

Option 2 : Rs. 9,095

In what time will the interest on a certain sum of money at 7% be 11/4 of itself?

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CT : General Intelligence and Reasoning (Practice Set)

10 Questions 20 Marks 8 Mins

Given:

Principal = Rs. 20000, Rate = 15%, Time = \(2\frac{2}{{3\;}}\;{\rm{years}}\)

Formula used:

Amount = Principal(1 + rate/100)time

Calculation:

Amount = Principal(1 + rate/100)time

\(\Rightarrow 20000 \times {\left( {1 + \;\frac{{15}}{{100}}} \right)^2}\left( {1 + \;\frac{{\frac{2}{3} \times 15}}{{100}}} \right)\)

\(\Rightarrow 20000 \times {\left( {\;\frac{{23}}{{20}}} \right)^2}\left( {\;\frac{{11}}{{10}}} \right)\)

⇒ 5 × 23 × 23 × 11

⇒ 29095

Interest = Amount – Principal

⇒ 29095 – 20000

⇒ 9095

∴ The compound interest is Rs. 9095.

Last updated on Nov 16, 2022

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Byju's Answer

Standard VIII

Mathematics

Solving Equations with Variables on Both Sides

In what time ...

Question

A

12 years

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B

8 years

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C

10 years

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D

14 years

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Solution

The correct option is C10 yearsLet the Principal be xSI = P×R×T100= x×7.5×T100⇒ 34x = x×7.5×T100Cancelling x on both sides of the equation we get,T = 3×1007.5×4⇒ T = 10 years

Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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In what time will be the interest on a certain sum of money at 6% be 5 by 8 of itself?

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