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**Rs. 12200 was partly invested in Scheme A at 10% p.a. compound interest (compounded annually) for 2 years and partly in Scheme B at 10% p.a. simple interest for 4 years. Both the schemes give equal interests. How much was invested in Scheme A ?**

A.

Rs. 9000

B.

Rs. 7500

C.

Rs. 8000

D.

Rs. 6050

Answer with explanation

Answer: Option CExplanation

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A.

B.

13 456 123

C.

9 653 129

D.

4 448 423

Answer with explanation

Answer: Option DExplanation

Use the annual formula above again here.

So now we have 1 000 000*((1+(10%)))^(150)=4 448 423.

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You have an investment proposition in front of you where you would invest 100 dollars in a project and after 2 years you can sell the investment. You would earn 5% paid annually OR you can receive the interest quarterly. Which one should you go for?

A.

annually as you receive more in one go

B.

makes no difference as the investment is the same

C.

depends on future interest rate variations

D.

Quarterly as you receive more

Answer with explanation

Answer: Option DExplanation

It is better to receive the interest quarterly as then you are receiving money more frequently and can reinvest that right away after quarter 1 instead of waiting the full year and then reinvest.

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In one year, the population, of a village increased by 10% and in the next year, it decreased by 10%. If at the end of 2nd year, the population was 7920, what was it in the beginning?

A.

8500

B.

8000

C.

8100

D.

8400

Answer with explanation

Answer: Option BExplanation

x*110/100 * 90/100 = 7920

X*0.99=7920

X=7920/0.99

=> 8000

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The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:

A.

Rs. 400

B.

Rs. 500

C.

Rs. 600

D.

Rs. 800

Answer with explanation

Answer: Option BExplanation

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The difference between SI and CI for 2 years @ 20% per annum is Rs 8. What is the principal?

A.

B.

Rs 200

C.

Rs 500

D.

Rs 300

Answer with explanation

Answer: Option BExplanation

Using the formula: Difference = P (R/100)^{2}

8 = P[20/100]^{2}

On Solving, P = Rs 200

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Simple interest on a certain sum of money for 4 years at 5% per annum is half the compound interest on Rs. 3000 for 2 years at 10% per annum. The sum placed on simple interest is:

A.

Rs.1575

B.

Rs. 2200

C.

Rs. 1200

D.

Rs. 1625

Answer with explanation

Answer: Option AExplanation

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Sanjana invested Rs. 15000 in SI at the rate of 2x% per annum for two years and the same amount is invested in CI at the same rate of interest if she received Rs.150 more interest than S.I, then find the rate of interest per annum?

A.

15%

B.

10%

C.

20%

D.

19%

Answer with explanation

Answer: Option BExplanation

CI – SI = 150

P(1 + r/100)^{n} – Pnr/100 = 150

15000[(1 + (2x/100))^{2} – 1] – (15000*2x*2)/100 = 150

15000[((100 + 2x)/100)^{2} – 1] – 600x = 150

15000[(10000 + 400x + 4x^{2})/10000 – 1] – 600x = 150

15000[(10000 + 400x + 4x^{2} – 10000)/10000] – 600x = 150

15000[(400x + 4x^{2})/10000] – 600x = 150

3/2(400x + 4x^{2}) – 600x = 150

(3*4/2)(100x + x^{2}) – 600x = 150

600x + 6x^{2} – 600x = 150

6x^{2} = 150

x^{2} = 25

x = 5

The rate of interest per annum = 2x% = (2*5)% = 10%

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