The difference between simple and compound interest (compounded

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 Multiple Choice QuestionsMultiple Choice Questions

1.

A sum amounts to Rs. 2,916 in 2 years and to Rs. 3,149.28 in 3 years at same rate of compound interest. The sum is

  • Rs. 2500

  • Rs. 2400

  • Rs. 2250

  • Rs. 2250

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2.

The time, in which Rs.2,000 will amount to Rs. 2,420 at 10% per annum compound interest, when the interest is compounded annually is,

  • 5 years

  • 2 years

  • 3 years

  • 3 years

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3.

At what per cent per annum of compound interest, compounded annually, will a sum of money become 16 times of itself in 4 years?

  • 400%

  • 200%

  • 125%

  • 125%

178 Views

4.

The difference between compound and simple interests on Rs. 5,000 for two years at the same rate is Rs. 72. The rate of interest per annum is

  • 15%

  • 12%

  • 10%

  • 10%

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5.

Rs. 3903 is to be divided between A and B so that A's share at the end of 7 years may be equal to B's share at the end of 9 years, at 4% per annum compound interest. The present share of B is

  • Rs. 2,218

  • Rs. 2,028

  • Rs. 1,875

  • Rs. 1,875

180 Views

6.

There is 75% increase in an amount in 5 years at simple interest. What will be the compound interest of ₹ 40,000/- after 2 years at the same rate?

  • ₹ 25,800/-

  • ₹ 32,250/-

  • ₹ 12,900/-

  • ₹ 19,350/-


7.

Find the amount which Shyam will get on ₹ 4096, if he gave it for 18 months at 12 1 half percent sign equals space space 25 over 2 percent sign, interest being compounded half yearly.
 

  • ₹ 5813

  • ₹ 4515

  • ₹ 4913

  • ₹ 4913

299 Views

8.

The compound interest on ₹ 1800 at 10% per annum for a certain period of time is ₹ 378. Find the time (in yr).

  • 2.8

  • 3.0

  • 2.5

  • 2.5

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9.

The difference between simple and compound interest (compounded annually) on a sum of money for 3 years at 10% per annum is Rs. 93. The sum (in Rs.) is

  • 30000

  • 30300

  • 3000

  • 3000


C.

3000

straight D space equals fraction numerator space PR squared left parenthesis 300 plus straight R right parenthesis over denominator left parenthesis 100 right parenthesis cubed end fraction
93 space equals space fraction numerator straight P cross times left parenthesis 10 right parenthesis squared cross times left parenthesis 300 plus 10 right parenthesis over denominator left parenthesis 100 right parenthesis cubed end fraction
93 cross times 1000000 space equals space straight P space cross times space 100 space cross times space 310
93000 space equals space straight P space cross times space 31
straight P space equals space 3000
Hence, P = Rs 3000.
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10.

A sum of ₹ 1,200/- is lent to be paid back in 5 equal annual instalments of ₹ 264 each. The rate of interest per annum is

  • 6%

  • 8%

  • 2%

  • 2%

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