Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum
Multiple Choice Questions

1.

Find the amount which Shyam will get on ₹ 4096, if he gave it for 18 months at

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum
, interest being compounded half yearly.
 

  • ₹ 5813

  • ₹ 4515

  • ₹ 4913

  • ₹ 4913


C.

₹ 4913

Here, P = ₹ 4096,  R = 

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum
 = 
Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

  T = 18 months = 
Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

Now, money received to Shyam
        
Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

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2.

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/-


C.

₹ 12,900/-

Rate of interest  = 

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

C.I. = A - P
      
Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum


3.

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


B.

2 years

Shortcut Method:
Go with option,

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

Detailed Method:

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

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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 is15%12%10%10%


B.

12%

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

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5.

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%


D.

125%

Let the principal be Rs. 100
∴  Amount will be Rs. 1600
  Time(n)  = 4 years

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

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6.

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
 

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

Now,
Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

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7.

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.

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

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8.

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%


C.

2%

Total interest  = 264 x 5 - 1200 = 1320 - 1200 = ₹120/-
Interest of 1 year = 

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

Let the rate of interest = r%
                    
Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

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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

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10.

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


D.

2.5

P = ₹ 1800, R = 10%,  and CI = ₹ 378,  Time(t) = n.
By formula,
            

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

                 
Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum

Q16 find the difference between C.I. and SI on 5000 for 3 years at 10 per annum
              n = 2 yr
             

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On what sum does the difference between the CI and SI for 3 years at 10% is rupees 31?

∴ Rs 31 is the difference when the sum is Rs (1003.10×31) ( 100 3.10 × 31 ) = Rs 1000.

What is the difference between SI and CI on Rs 5000 at 10% pa for two years?

5000 for the period of two years is 72.

What is the difference between CI and SI on ₹ 50000 at 5% per annum for one year?

The difference between the compound interest and the simple interest compounded half yearly on an amount of Rs. 50000 for 1 year is Rs. 180.

What is the difference between CI and SI on ₹ 5000 for 2 Year at 2% pa if the rate of interest is compounded annually?

Answer: The difference between C.I and S.I is 0.5.