RRB Assistant Loco Pilot and Technician Model Paper 8 with solutions

Question : 5 of 75

Marks: +1, -0

The difference between simple interest and compound interest on a sum at 5% in 2 years is ₹ 2.50. The sum is

Solution:

[ x ( 1 + { 5 }/ { 100 } ) ^ { 2 } - x ]

{ x⋅ 5 ⋅2 }/ { 100 } = 2.50

⇒

[ x ( { 21 } /{ 20 } ) ^ { 2 } - x ] - { x }/ { 10 }

= 2.50
⇒

[ { 441 x }/ { 400 } - x ] - { x }/ { 10 }

= 2.50
⇒

{ 441 x - 400 x }/ { 400 }

= 2.50
⇒

{ 41 x - 40 x } /{ 400 }

= 2.50
or, x = 2.50 × 400 = ₹ 1000

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