Question

1) There are 25 radios, 16 of them are out of order. What percent of radios are out of order?
2) At what rate per cent per annum simple interest will a sum treble itself in 16 years?
3) In what time will ₹ 1600 amount to ₹ 1768 at 6% per annum simple interest?
4) At what rate per cent per annum simple interest will a sum be double itself in 8 years?

Answer 1

Answer:

1) 64%

The percentage of the radios that are out of the order = 1625×100=64 . Therefore, the percentage of radios that are out of order is 64%.

2) Let Rsx be the sum, then according to question, the amount will be Rs3x. Then simple interest will be,

S.I.=Amount−Principle

=3x−x

=2x

The time is given as 16 years.

S.I.=

100

P×R×T

2x=

100

x×R×16

R=

x×16

2x×100

R=12.5%.

3) Interest = Amount - Principle

= 1768 - 1600

= 168

Interest = Principle × Rate of Interest × Time /100

168 = 1600 × 6 × Time / 100

Time = 168/96

= 28×6/(16×6)

= 28/16

= (7×4)/(4×4)

= 7/4

= 1 3/4.

4) Let principal = P, Then, S.I.= P and Time = 8 years

We know that S.I. = PTR/100

Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.

Step-by-step explanation:

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Answer 2

Answer:

$\large \pink{Answer}$☞︎︎︎

$\large \green{Solution1}$➽

25=%

16=?

(16 * 100)/25

1600/25

=64% of radios are out of order.

$\large \green{Solution2}$➽

Let Rsx be the sum, then according to question, the amount will be Rs3x. Then simple interest will be,

S.I.=Amount−Principle

=3x−x

=2x

The time is given as 16 years.

S.I.= 100 _____P×R×T

2x= 100_____x×R×16

R= 2x×100____x×16

R=12.5%

$\large \green{Solution3}$➽

Interest = Amount - Principle

= 1768 - 1600

= 168

Interest = Principle × Rate of Interest × Time /100

168 = 1600 × 6 × Time / 100

Time = 168/96

= 28×6/(16×6)

= 28/16

= (7×4)/(4×4)

= 7/4

= 1 3/4

$\large \green{Solution4}$➽

12.5%

Explanation:

Let principal = P, Then, S.I.= P and Time = 8 years

We know that S.I. = PTR/100

Rate = [(100 x P)/ (P x 8)]% = 12.5% per annum.

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