Math, asked by pranayrajgour, 10 months ago

If the difference between CI &SI on a certain sum of money for 3 years at 10% p.a. is Rs. 93, find the sum (in Rs) ​

Answers

Answered by StarrySoul
15

Given :

• Rate(r) = 10%

• Time(t) = 3 years

• Difference = Rs 93

To Find :

• The sum

Solution :

Let the sum be Rs P

Find the Simple Interest First

★ S.I. = P × R × T/100

→ S.I. = P × 10 × 3/100

→ S.I. = Rs 3/10 P.... i)

Find the Compound Interest now :

★ C.I. = P [(1 + R/100)ⁿ - 1]

→ C.I. = P [(1 + 10/100)³ - 1]

→ C.I. = P [(11/10)³ - 1]

→ C.I. = P (11³ - 10³/10³)

→ C.I. = P (1331 - 1000/1331)

→ C.I. = Rs 331/1000 P....ii)

As given, C.I. - S.I. = Rs 93

→ Rs 331 P/1000 - Rs 3/10 P = RS 93

→ Rs (331-300/1000) P = Rs 93

→ Rs 31/1000 P = Rs 93

→ P = Rs 93 × 1000/31

P = Rs 3000

\therefore The required sum is Rs 3000.

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