Question

On what sum Will the difference between the simple and compound interest for 3 years if the rate of interest is 10% p.a is 232.50

Answer 1

Answer:

Rs. 7500

Explanation:

Let the principal sum be ₹ P

Rate of interest = 10 %

Time Period = 3 years

Simple interest = P * 10 * 3 / 100 = 0.3 P ….(1)

Compound Interest = P ( 1 + 10/ 100) ^3 - P

= P ( 1.1)^3 - P = P * 1.331 - P = P ( 1.331 - 1)

= 0.331 P ….(2)

Difference between Compound Interest and Simple Interest = (2) - (1)

= 0.331 P - 0.3 P = 0.031 P

So, 0.031 P = 232.50 ….( given)

Hence, P = 232.50 / 0.031 = ₹ 7,500

Sum = ₹ 7,500 Answer

Check :

Sum = Rs. 7,500

Rate of interest = 10 %

Time Period = 3 years

Simple Interest = 7,500 * 10 * 3 / 100 = ₹ 2,250

Compound Interest = 7,500 (1+10 / 100)^3 - 7,500

= 7,500 (1.1)^3 - 7,500

= (7,500 * 1.331) - 7,500

= 9,982.50 - 7,500 = ₹ 2,482.50

Difference between Compound Interest and Simple Interest =₹ 2,482.50 - ₹2,250 = ₹232.50 ✓

Answer 2

Answer:

an equation of the form of a x + B Y + c = 0 where A B and C are real numbers such that A and B are both zero is called a linear equation in two variables