Question

find the sum of money that amounts to rupees 5850 in 6 years at 5% per annum ​

Answer 1

Answer:

4500.

Step-by-step explanation:

Amount = Rs. 5850

Time (T) = 6 years

Rate (R) = 5% p.a.

Sum = Principal (P)

Let the Principal be Rs. x

A/Q.

Amount = Principal + S.I.

5850 = x + (PRT / 100)

⇒ 5850 = x + (x × 5 × 6 / 100)

⇒ 5850 = x + (30x / 100)

⇒ 5850 = x + (3x / 10)

⇒ 5850 = (10x + 3x) / 10

⇒ 5850 = 13x / 10

⇒ 5850 × 10 / 13 = x

⇒ 450 × 10 = x

⇒ 4500 = x

Hence, the sum is 4500.

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Answer 2

Answer:

Step-by-step explanation:

Amount = Rs. 5850

Time (T) = 6 years

Rate (R) = 5% p.a.

Sum = Principal (P)

Let the Principal be Rs. x

A/Q.

Amount = Principal + S.I.

5850 = x + (PRT / 100)

⇒ 5850 = x + (x × 5 × 6 / 100)

⇒ 5850 = x + (30x / 100)

⇒ 5850 = x + (3x / 10)

⇒ 5850 = (10x + 3x) / 10

⇒ 5850 = 13x / 10

⇒ 5850 × 10 / 13 = x

⇒ 450 × 10 = x

⇒ 4500 = x

Hence, the sum is 4500.

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BY Ravan34