Rs. 3903 is to be divided between A and B so that A's share at t

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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

207 Views

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%

206 Views

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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


C.

Rs. 1,875

Let B's present share  = Rs. x.
therefore space space space space left parenthesis 3903 minus straight x right parenthesis space open parentheses 1 plus 4 over 100 close parentheses to the power of 7 space equals space straight x space open parentheses 1 plus 4 over 100 close parentheses to the power of 9
rightwards double arrow space space left parenthesis 3903 minus straight x right parenthesis space equals space straight x open parentheses 26 over 25 close parentheses squared space equals space fraction numerator 676 straight x over denominator 625 end fraction
rightwards double arrow space 3903 space cross times space 625 space minus space 625 straight x space equals space 676 straight x
rightwards double arrow space space 1301 straight x space equals space 3903 space cross times space 625
rightwards double arrow space space space space space space straight x space equals space fraction numerator 3903 space cross times space 625 over denominator 1301 end fraction space equals space Rs. space 1875

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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

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

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%

291 Views

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