Question

Divide 5,000 into two parts such that the
simple interest on the first part for two years
at 9% per annum is equal to the simple
interest on the second part for 4 years at 8%
per annum.​

Answer 1

Answer:

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Step-by-step explanation:

Let 5000 divided into two parts x and y.

According to the question

⇒ x × (21/5) × (20/3) = 2 × y × (11/4) × 4

⇒ x/y = 22/28

⇒ x/y = 11/14

Suppose the ratio of x ∶ y = 11k ∶ 14k

⇒ 11k + 14k = 5000

⇒ 25k = 5000

⇒ k = 200

The difference between x and y = 14k – 11k

⇒ 3k

⇒ 3 × 200

⇒ 600

Answer 2

Answer:

Let 5000 divided into two parts x and y.

According to the question

⇒ x × (21/5) × (20/3) = 2 × y × (11/4) × 4

⇒ x/y = 22/28

⇒ x/y = 11/14

Suppose the ratio of x ∶ y = 11k ∶ 14k

⇒ 11k + 14k = 5000

⇒ 25k = 5000

⇒ k = 200

The difference between x and y = 14k – 11k

⇒ 3k

⇒ 3 × 200

=600

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Step-by-step explanation: