type 6 si with ratios Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 6 EXERCISES

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The following question based on simple interest topic of quantitative aptitude

Questions : If the ratio of principal and the simple interest for 5 years is 10 : 3, then the rate of interest is :

(a) 6%

(b) 5%

(c) 3%

(d) 8%

The correct answers to the above question in:

Answer: (a)

Using Rule 1,

$\text"Principal"/ \text"Interest" = 10/3$

$\text"Interest"/ \text"Principal" = 3/10$

Rate = $\text"S.I. × 100"/ \text"Principal × Time"$

= $3/10 × 100/5$ = 6% per annum

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Read more si with ratios Based Quantitative Aptitude Questions and Answers

Question : 1

If ratio of principal and simple interest for 1 year is 25 : 1, then the rate of interest is

a) 25%

b) 4%

c) 20%

d) 5%

Answer: (b)

Using Rule 1,

Principal : Interest = 25 : 1

Interest : Principal = 1 : 25

Rate = $\text"S.I. × 100"/ \text"Principal × Time"$

= $1/25$ × 100 = 4% per annum

Question : 2

With a given rate of simple interest, the ratio of principal and amount for a certain period of time is 4 : 5. After 3 years, with the same rate of interest, the ratio of the principal and amount becomes 5 : 7. The rate of interest is

a) 6%

b) 4%

c) 7%

d) 5%

Answer: (d)

Using Rule 1,

Case-I,

Interest = 5x - 4x = x

$x = {4x × R × T}/100$

T = $25/R$ years

Case-II,

T = $25/R + 3 = ({25 + 3R}/R)$ years

SI = 7 y - 5y = 2y

$2y = {5y × R × (25 + 3R)}/{R × 100}$

40 = 25 + 3R

3R = 40 –25 = 15 %

R = $15/3$ = 5%

Question : 3

A person invests money in three different schemes for 6 years, 10 years and 12 years at 10 per cent, 12 per cent and 15 per cent simple interest respectively. At the completion of each scheme, he gets the same interest. The ratio of his investment is

a) 2 : 3 : 4

b) 6 : 3 : 2

c) 3 : 4 : 2

d) 3 : 4 : 6

Answer: (b)

Using Rule 1,

P1 : P2 : P3 = $1/{r_1t_1} : 1/{r_2t_2} : 1/{r_3t_3}$

= $1/{6 × 10} : 1/{10 × 12} : 1/{12 × 15}$

= $1/60 : 1/120 : 1/180$ = 6 : 3 : 2

Question : 4

Ratio of the principal and the amount after 1 year is 10:12. Then the rate of interest per annum is :

a) 16%

b) 12%

c) 20%

d) 18%

Answer: (c)

Using Rule 1,

$\text"Principal"/\text"Amount" = 10/12$

$\text"Amount"/ \text"Principal" = \text"Principal + interest"/ \text"Principal" = 12/10$

1 + $\text"Interest"/ \text"Principal" = 12/10$

$\text"Interest"/ \text"Principal" = 2/10 = 1/5$

Rate = $1/5$ × 100 = 20%

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