Question

the difference between simple interest on a sum of money for 5 years and for 3 years at 5% per annum is ₹600 .find the sum.​

Answer 1

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Given :-

• Difference between Simple Interest on a sum of money for 5 years and for 3 years at 5% per annum is ₹600

• Rate of interest = 5%

To Find :-

• Simple interest for 5years

• Simple interest for 3years

• Principle (sum)

Solution :-

Let the principal be X

1. Interest for 5 years = PTR/100

By substituting values,

➙ x × 5 × 5/100

➙ 25x/100

➥ x/4

Hence, The simple interest for 5 years is x/4

2. Interest for 3 years = PTR/100

By substituting values,

➙ x × 3 × 5/100

➙ 15x/100

➥ 3x/20

Hence, The simple interest for 3 years is 3x/20

According to the question,

(Interest for 5years) - (Interest for 3 years) = ₹600

By substituting values,

➙ (x/4) - (3x/20) = ₹600

➙ (x/4 × 20) - (3x-20 × 20) = ₹600

➙ (5x - 3x)/20 = ₹600

➙ 2x/20 = ₹600

➙ 2x = ₹12000

➠ x = ₹6000

Hence, The Principal ( sum ) is ₹6000

Answer 2

Given :-

Difference between Simple Interest on a sum of money for 5 years and for 3 years at 5% per annum is ₹600

Rate of interest = 5%

To Find :-

Simple interest for 5years

Simple interest for 3years

Principle (sum)

Solution :-

Let the principal be X

1. Interest for 5 years = PTR/100

By substituting values,

➙ x × 5 × 5/100

➙ 25x/100

➥ x/4

Hence, The simple interest for 5 years is x/4

2. Interest for 3 years = PTR/100

By substituting values,

➙ x × 3 × 5/100

➙ 15x/100

➥ 3x/20

Hence, The simple interest for 3 years is 3x/20

According to the question,

(Interest for 5years) - (Interest for 3 years) = ₹600

By substituting values,

➙ (x/4) - (3x/20) = ₹600

➙ (x/4 × 20) - (3x-20 × 20) = ₹600

➙ (5x - 3x)/20 = ₹600

➙ 2x/20 = ₹600

➙ 2x = ₹12000

➠ x = ₹6000

Hence, The Principal ( sum ) is ₹6000