A sum amounts to Rs. 2,916 in 2 years and to Rs. 3,149.28 in 3 y

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 Multiple Choice QuestionsMultiple Choice Questions

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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


A.

Rs. 2500

Interest  = 3,149.28 - 2,916 = 233.28
 Rate percent sign space equals space fraction numerator 233.28 over denominator 2916 end fraction space cross times space 100 space equals space 8 percent sign
Now,
2916 space equals space straight P open parentheses 1 plus 8 over 100 close parentheses squared
2916 space equals space straight P open parentheses 27 over 25 close parentheses squared

rightwards double arrow space space straight P space equals space fraction numerator 2916 space cross times space 25 space cross times space 25 over denominator 27 space cross times space 27 end fraction
rightwards double arrow space space straight P equals space space Rs. space 2500

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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%

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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

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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

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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

395 Views

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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