Saved Bookmarks
| 1. |
7 The simple interest on a certain sum for 3 1 by 2 at 7% p.a. is rupee 225 more than the simple interest onthe same sum for 4 years at 5% p.a. Find the sum. |
|
Answer» Step-by-step explanation: Let the SUM be x case (i) Principle = x, Rate = 7%, time = 3.5 yrs Interest = \frac{PTR}{100} 100 PTR
= \frac{x (7)(3.5)}{100} 100 x(7)(3.5)
= \frac{24.5x}{100} 100 24.5x
case (ii) Principle = x, Rate = 5%, time = 4 yrs Interest = \frac{PTR}{100} 100 PTR
= \frac{x (5)(4)}{100} 100 x(5)(4)
= \frac{20x}{100} 100 20x
given that, the SIMPLE interest for case (i) is Rs 225 more than the simple interest for case (ii) \frac{24.5x}{100} - \frac{20x}{100} = 225 100 24.5x
− 100 20x
=225 \frac{4.5x}{100} 100 4.5x
= 225 x = \frac{22500}{4.5} 4.5 22500
x = 5000 The sum = Rs 5000 |
|