SSC CHSL Model Paper 17

Question : 73 of 100

Marks: +1, -0

sum of money is taken at the rate of 6% p.a. on simple interest. After 1 year, Rs. 6800 is paid as fine and the remaining money is paid with 5% of simple interest. If the interest paid in second year is

11/20

times the interest paid in first year. Find the sum of money.

Rs. 17000
Rs. 16800
Rs. 16500
Rs. 20000

Validate

Solution:

Let, Principal is P.
Hence, Total interest of first year
106% of P = P × 106%
Interest

={P×6×1}/100 ={6\P}/100

1 year Rs. 6800 is paid
Hence, principal of second year = (P × 106% - 6800)
∴ According to Question.

{(\P×106%-6800)×5×1}/100

={6\P}/100×11/20

⇒({106\P}/100-6800)×5={33\P}/10

⇒({53\P}/50-6800)×5={33\P}/10

⇒({53\P-6800×500}/50)×5

={33\P}/10

⇒ 53\P - 6800 × 50 = 33P

⇒ 20\P = 6800 × 50

∴ \P = \Rs. 17000

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