Sasi Math (Revised for 1024)

Scroll:Life mathematics >> profit and loss >> saq (4301)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

Pugal doposited 400 per month for 4 years in recurring deposit account in a post office. If he received 32000 find the rate of interest.

Answer:_______________

Aravindh doposited 300 per month for 5 years in recurring deposit account in a post office. If he received 32500 find the rate of interest.

Answer:_______________

Moorthi doposited 300 per month for 6 years in recurring deposit account in a post office. If he received 31000 find the rate of interest.

Answer:_______________

Selvan doposited 400 per month for 4 years in recurring deposit account in a post office. If he received 31000 find the rate of interest.

Answer:_______________

Aravindh doposited 300 per month for 5 years in recurring deposit account in a post office. If he received 31500 find the rate of interest.

Answer:_______________

Barathan doposited 300 per month for 6 years in recurring deposit account in a post office. If he received 31500 find the rate of interest.

Answer:_______________

Kumar doposited 400 per month for 5 years in recurring deposit account in a post office. If he received 32000 find the rate of interest.

Answer:_______________

Pugal doposited 300 per month for 4 years in recurring deposit account in a post office. If he received 31500 find the rate of interest.

Answer:_______________

Balaji doposited 300 per month for 6 years in recurring deposit account in a post office. If he received 31000 find the rate of interest.

Answer:_______________

10)

Karna doposited 300 per month for 6 years in recurring deposit account in a post office. If he received 31000 find the rate of interest.

Answer:_______________

Pugal doposited 400 per month for 4 years in recurring deposit account in a post office. If he received 32000 find the rate of interest.

Answer: 33%

SOLUTION 1 :

Given:

Maturity Amount, A = 32000

P = 400

n = 4 years = 48 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [48x(48+1)÷2]

= $\frac{1}{12}$ [(48x49)÷2]

= $\frac{1}{12}$ [2352÷2]

= $\frac{1}{12}$ x 1176

= 98.00 years

Amount Deposited = Pn = 400 x 48

= 19200

Maturity Amount = Pn $\frac{+PNr}{100}$

32000 = 19200+ (400 x 98.00 x $\frac{r)}{100}$

32000 = 19200 + (39200x $\frac{r)}{100}$

(32000 - 19200 )x 100 = 39200 x r

12800x100 = 39200 x r

$\frac{1280000}{39200}$ = r

33 % = r

Aravindh doposited 300 per month for 5 years in recurring deposit account in a post office. If he received 32500 find the rate of interest.

Answer: 32%

SOLUTION 1 :

Given:

Maturity Amount, A = 32500

P = 300

n = 5 years = 60 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [60x(60+1)÷2]

= $\frac{1}{12}$ [(60x61)÷2]

= $\frac{1}{12}$ [3660÷2]

= $\frac{1}{12}$ x 1830

= 152.50 years

Amount Deposited = Pn = 300 x 60

= 18000

Maturity Amount = Pn $\frac{+PNr}{100}$

32500 = 18000+ (300 x 152.50 x $\frac{r)}{100}$

32500 = 18000 + (45750x $\frac{r)}{100}$

(32500 - 18000 )x 100 = 45750 x r

14500x100 = 45750 x r

$\frac{1450000}{45750}$ = r

32 % = r

Moorthi doposited 300 per month for 6 years in recurring deposit account in a post office. If he received 31000 find the rate of interest.

Answer: 14%

SOLUTION 1 :

Given:

Maturity Amount, A = 31000

P = 300

n = 6 years = 72 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [72x(72+1)÷2]

= $\frac{1}{12}$ [(72x73)÷2]

= $\frac{1}{12}$ [5256÷2]

= $\frac{1}{12}$ x 2628

= 219.00 years

Amount Deposited = Pn = 300 x 72

= 21600

Maturity Amount = Pn $\frac{+PNr}{100}$

31000 = 21600+ (300 x 219.00 x $\frac{r)}{100}$

31000 = 21600 + (65700x $\frac{r)}{100}$

(31000 - 21600 )x 100 = 65700 x r

9400x100 = 65700 x r

$\frac{940000}{65700}$ = r

14 % = r

Selvan doposited 400 per month for 4 years in recurring deposit account in a post office. If he received 31000 find the rate of interest.

Answer: 30%

SOLUTION 1 :

Given:

Maturity Amount, A = 31000

P = 400

n = 4 years = 48 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [48x(48+1)÷2]

= $\frac{1}{12}$ [(48x49)÷2]

= $\frac{1}{12}$ [2352÷2]

= $\frac{1}{12}$ x 1176

= 98.00 years

Amount Deposited = Pn = 400 x 48

= 19200

Maturity Amount = Pn $\frac{+PNr}{100}$

31000 = 19200+ (400 x 98.00 x $\frac{r)}{100}$

31000 = 19200 + (39200x $\frac{r)}{100}$

(31000 - 19200 )x 100 = 39200 x r

11800x100 = 39200 x r

$\frac{1180000}{39200}$ = r

30 % = r

Aravindh doposited 300 per month for 5 years in recurring deposit account in a post office. If he received 31500 find the rate of interest.

Answer: 30%

SOLUTION 1 :

Given:

Maturity Amount, A = 31500

P = 300

n = 5 years = 60 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [60x(60+1)÷2]

= $\frac{1}{12}$ [(60x61)÷2]

= $\frac{1}{12}$ [3660÷2]

= $\frac{1}{12}$ x 1830

= 152.50 years

Amount Deposited = Pn = 300 x 60

= 18000

Maturity Amount = Pn $\frac{+PNr}{100}$

31500 = 18000+ (300 x 152.50 x $\frac{r)}{100}$

31500 = 18000 + (45750x $\frac{r)}{100}$

(31500 - 18000 )x 100 = 45750 x r

13500x100 = 45750 x r

$\frac{1350000}{45750}$ = r

30 % = r

Barathan doposited 300 per month for 6 years in recurring deposit account in a post office. If he received 31500 find the rate of interest.

Answer: 15%

SOLUTION 1 :

Given:

Maturity Amount, A = 31500

P = 300

n = 6 years = 72 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [72x(72+1)÷2]

= $\frac{1}{12}$ [(72x73)÷2]

= $\frac{1}{12}$ [5256÷2]

= $\frac{1}{12}$ x 2628

= 219.00 years

Amount Deposited = Pn = 300 x 72

= 21600

Maturity Amount = Pn $\frac{+PNr}{100}$

31500 = 21600+ (300 x 219.00 x $\frac{r)}{100}$

31500 = 21600 + (65700x $\frac{r)}{100}$

(31500 - 21600 )x 100 = 65700 x r

9900x100 = 65700 x r

$\frac{990000}{65700}$ = r

15 % = r

Kumar doposited 400 per month for 5 years in recurring deposit account in a post office. If he received 32000 find the rate of interest.

Answer: 13%

SOLUTION 1 :

Given:

Maturity Amount, A = 32000

P = 400

n = 5 years = 60 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [60x(60+1)÷2]

= $\frac{1}{12}$ [(60x61)÷2]

= $\frac{1}{12}$ [3660÷2]

= $\frac{1}{12}$ x 1830

= 152.50 years

Amount Deposited = Pn = 400 x 60

= 24000

Maturity Amount = Pn $\frac{+PNr}{100}$

32000 = 24000+ (400 x 152.50 x $\frac{r)}{100}$

32000 = 24000 + (61000x $\frac{r)}{100}$

(32000 - 24000 )x 100 = 61000 x r

8000x100 = 61000 x r

$\frac{800000}{61000}$ = r

13 % = r

Pugal doposited 300 per month for 4 years in recurring deposit account in a post office. If he received 31500 find the rate of interest.

Answer: 58%

SOLUTION 1 :

Given:

Maturity Amount, A = 31500

P = 300

n = 4 years = 48 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [48x(48+1)÷2]

= $\frac{1}{12}$ [(48x49)÷2]

= $\frac{1}{12}$ [2352÷2]

= $\frac{1}{12}$ x 1176

= 98.00 years

Amount Deposited = Pn = 300 x 48

= 14400

Maturity Amount = Pn $\frac{+PNr}{100}$

31500 = 14400+ (300 x 98.00 x $\frac{r)}{100}$

31500 = 14400 + (29400x $\frac{r)}{100}$

(31500 - 14400 )x 100 = 29400 x r

17100x100 = 29400 x r

$\frac{1710000}{29400}$ = r

58 % = r

Balaji doposited 300 per month for 6 years in recurring deposit account in a post office. If he received 31000 find the rate of interest.

Answer: 14%

SOLUTION 1 :

Given:

Maturity Amount, A = 31000

P = 300

n = 6 years = 72 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [72x(72+1)÷2]

= $\frac{1}{12}$ [(72x73)÷2]

= $\frac{1}{12}$ [5256÷2]

= $\frac{1}{12}$ x 2628

= 219.00 years

Amount Deposited = Pn = 300 x 72

= 21600

Maturity Amount = Pn $\frac{+PNr}{100}$

31000 = 21600+ (300 x 219.00 x $\frac{r)}{100}$

31000 = 21600 + (65700x $\frac{r)}{100}$

(31000 - 21600 )x 100 = 65700 x r

9400x100 = 65700 x r

$\frac{940000}{65700}$ = r

14 % = r

10)

Karna doposited 300 per month for 6 years in recurring deposit account in a post office. If he received 31000 find the rate of interest.

Answer: 14%

SOLUTION 1 :

Given:

Maturity Amount, A = 31000

P = 300

n = 6 years = 72 months

Period, N = $\frac{1}{12}$ [{n(n+1)}/2] years

= $\frac{1}{12}$ [72x(72+1)÷2]

= $\frac{1}{12}$ [(72x73)÷2]

= $\frac{1}{12}$ [5256÷2]

= $\frac{1}{12}$ x 2628

= 219.00 years

Amount Deposited = Pn = 300 x 72

= 21600

Maturity Amount = Pn $\frac{+PNr}{100}$

31000 = 21600+ (300 x 219.00 x $\frac{r)}{100}$

31000 = 21600 + (65700x $\frac{r)}{100}$

(31000 - 21600 )x 100 = 65700 x r

9400x100 = 65700 x r

$\frac{940000}{65700}$ = r

14 % = r