SSC MTS 6 Aug 2019 Shift 1 Paper

Question : 39 of 100

Marks: +1, -0

The difference between the simple interest and compound interest on a principal at the rate 5% per annum for 2 years is Rs. 25. What is the principal?

Rs. 12000
Rs. 5000
Rs. 10000
Rs. 15000

Validate

Solution:

Short trick:
⇒ Difference in CI and SI for 2 years = PR

^2

/100

^2

⇒ 25 = P × 5

^2

/100

^2

⇒ P = 10000
Detailed Solution:
C.I. - S.I. = 25
⇒ P[(1 + r/100)

^2

- 1] - PRT/100 = 25
⇒ P[(21/20)

^2

- 1] - (P × 5 × 2)/100 = 25
⇒ P(41/400) - P/10 = 25
⇒ P(41 - 40)/400 = 25
⇒ P = 10000
∴ The principal is Rs. 10,000.

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