Rs. 40,000 was invested for four years, partly in Scheme A at the rate

1.	Rs. 40,000 was invested for four years, partly in Scheme A at the rate of 12%Simple Interest per annum and partly in Scheme B at the rate of 8% SimpleInterests per annum The interests received from Scheme A is Rs. 14400 morethan the interest received from Scheme B. What was the interest earned fromScheme B?
Answer» Given: Rs. 40,000 was invested for four years, partly in Scheme A at 12% Simple Interest p.a. and partly in Scheme B at 8% Simple Interests p.a. Interest received from scheme A is Rs. 14400 more than the interest earned from scheme B To find: The interest earned from Scheme B Solution: Let Rs. "X" be the sum of money invested in scheme A so, Rs. "(40,000 - x)" will be the sum of money invested in scheme B. The formula for calculating simple interest is given as, $\boxed{Simple\:Interest\:=\:\frac{P\times\:R\times\:T}{100} }$ Now, ACCORDING to the question, we can form an equation as, $[\frac{x\:\:12\:\:4}{100}] - [\frac{(40000 - x)\:\:8\:\:4}{100} ] = 14400$ ⇒ $0.48x\: -\:0.32(40000\:-\:x) = 14400$ ⇒ $0.48x\: -\:12800\:+\:0.32x = 14400$ ⇒ $0.8x = 14400 \:+\:12800$ ⇒ $0.8x = 27200$ ⇒ $x = \frac{27200}{0.8}$ ⇒ $x = 34000$ ← sum of money invested in scheme A ∴ Sum of money invested in scheme B = 40000 - 34000 = Rs. 6000 ∴ Interest Earned from scheme B = $\frac{6000\:\times\:8\:\times\:4}{100} = \frac{192000}{100} = \bold{Rs.\:<klux>1920</klux>}$ Thus, the interest earned from scheme B was Rs. 1920. ----------------------------------------------------------------------------------------- Also View: Nishu invested an amount of rs. 13,900 divided in TWO different schemes a and b at the simple interest rate of 14% p.A. And 11% p.A. Respectively. If the total amount of simple interest earned in 2 years be rs. 3508, what was the amount invested in scheme b? brainly.in/question/8124898 An amount of rs.16100 is earned when a certain sum is invested for 3 years in scheme-A offering simple interest @ 5 p.a. How much more interest will be earned if the same sum were invested for 2 years in scheme-B offering simple interest @ 8 p.a. ? brainly.in/question/15113567 A sum of money quadruples itself in 24 years under simple interest scheme the rate of interest in? brainly.in/question/9686589

Rs. 40,000 was invested for four years, partly in Scheme A at the rate of 12%Simple Interest per annum and partly in Scheme B at the rate of 8% SimpleInterests per annum The interests received from Scheme A is Rs. 14400 morethan the interest received from Scheme B. What was the interest earned fromScheme B?

Answer»

Given:

Rs. 40,000 was invested for four years, partly in Scheme A at 12% Simple Interest p.a. and partly in Scheme B at 8% Simple Interests p.a.

Interest received from scheme A is Rs. 14400 more than the interest earned from scheme B

To find:

The interest earned from Scheme B

Solution:

Let Rs. "X" be the sum of money invested in scheme A so, Rs. "(40,000 - x)" will be the sum of money invested in scheme B.

The formula for calculating simple interest is given as,

$\boxed{Simple\:Interest\:=\:\frac{P\times\:R\times\:T}{100} }$

Now, ACCORDING to the question, we can form an equation as,

$[\frac{x\:*\:12\:*\:4}{100}] - [\frac{(40000 - x)\:*\:8\:*\:4}{100} ] = 14400$

⇒ $0.48x\: -\:0.32(40000\:-\:x) = 14400$

⇒ $0.48x\: -\:12800\:+\:0.32x = 14400$

⇒ $0.8x = 14400 \:+\:12800$

⇒ $0.8x = 27200$

⇒ $x = \frac{27200}{0.8}$

⇒ $x = 34000$ ← sum of money invested in scheme A

∴ Sum of money invested in scheme B = 40000 - 34000 = Rs. 6000

∴ Interest Earned from scheme B = $\frac{6000\:\times\:8\:\times\:4}{100} = \frac{192000}{100} = \bold{Rs.\:<klux>1920</klux>}$

Thus, the interest earned from scheme B was Rs. 1920.

-----------------------------------------------------------------------------------------

Also View:

Nishu invested an amount of rs. 13,900 divided in TWO different schemes a and b at the simple interest rate of 14% p.A. And 11% p.A. Respectively. If the total amount of simple interest earned in 2 years be rs. 3508, what was the amount invested in scheme b?

brainly.in/question/8124898

An amount of rs.16100 is earned when a certain sum is invested for 3 years in scheme-A offering simple interest @ 5 p.a. How much more interest will be earned if the same sum were invested for 2 years in scheme-B offering simple interest @ 8 p.a. ?

brainly.in/question/15113567

A sum of money quadruples itself in 24 years under simple interest scheme the rate of interest in?

brainly.in/question/9686589

Given:

To find:

Solution:

Also View:

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment