Question

the simple interest in 5 years and the compound interest in 2 years on a certain sum at the same rate are rupees 2,000 and rupees 832 respectively find the rate of interest the sum of money and the difference between the compound interest and simple interest on the same sum and at the same rate for 3 years​

Answer 1

Answer:

rate of interest = 8%

sum of money = 5000

difference between simple interest and the compound interest on the same sum and at the same rate of interest = 98.56

Step-by-step explanation:

To find:

1. rate of interest

2. sum of money

3. difference between simple interest and the compound interest on the same sum and at the same rate of interest

Given data:

simple interest in 5 years = 2000

compound interest in 2 years = 832

Solution:

simple interest in 5 years = 2000

so simple interest in 1 year = 2000 ÷ 5

                                           = 400

and for simple interest in 2 years = 400 X 2

                                                      = 800

we know compound interest in 2 years = 832

and the difference = 832 - 800

                               = 32

rate of interest = $\frac{32}{400} X 100$

                         = 8%

we know simple interest in 1 year at 8% rate of interest = 400

so sum of money = $\frac{400X 100}{ 8 }$

                             = RS 5000

simple interest on sum of RS 5000 in 3 years at 8% rate of interest = $\frac{p X n X r}{100}$

                                                                                                             = $\frac{5000 X 3 X 8}{100}$

                                                                                                             = RS 1200

compound interest on sum of RS 5000 in 3 years at 8% rate of interest = $\mathrm{Cl}=\mathrm{P}\left(1+\frac{\mathrm{r}}{\mathrm{100}}\right)^{\mathrm{n}}$ - 1

  $\mathrm{Cl}=\mathrm{5000}\left(1+\frac{\mathrm{8}}{\mathrm{100}}\right)^{\mathrm{3}}$ - 1

      $=\mathrm{5000}\left(100+\frac{\mathrm{8}}{\mathrm{100}}\right)^{\mathrm{3}}$  - 1  

      $=\mathrm{5000}\left(\frac{\mathrm{108}}{\mathrm{100}}\right)^{\mathrm{3}}$ - 1

      $=\mathrm{5000}\left(1.08}\right)^{\mathrm{3}}$ - 1

      = 5000 X .259712

      =  1298.56

difference between simple interest and the compound interest on the same sum and at the same rate of interest = 1298.56 - 1200

                                                             = RS 98.56

To solve more:

1.If the 6-digit numbers x 35624 and 1257y4 are divisible by 11 and 72, respectively, then what is the value of (5x-2y)?

✓ 1. 14

X2. 12

X. 3.10

X 4. 13​

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2.Which of the following options have the same value as 60, percent of 94

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