Question

Kajal invested a fixed amount of Rs. 80000 in 3 banks A, B and C at 15%, 16% and 27% per annum. The amount invested in Bank A is 20% of the amount invested in Bank C. If she earns the simple interest for 2 years is Rs. 36400 then What is the amount invested in bank B?​p​

Answer 1

Answer :-

Given:

• Total amount invested = ₹ 80,000

• Rate of interest in banks A, B and C = 15%, 16% and 27%

• Amount invested in Bank A is 20% of amount invested in Bank C

• Simple interest in 2 years = ₹ 36,400

To find:

• Amount Invested in Bank B

Solution:

A = $\text{ \frac{20}{100} ×C}$

C = 5A

Now, let us take the Value of Bank A as x,

Therefore, A = $x$

C = $5x$

B = $80000 - 6x$

Interest in 1 year,

Interest on 2 years = ₹ 36400

Interest in 1 year = $\frac{36400}{2}$=₹18200

Now,

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15% of x + 16% of (80000-6x) + 27% of 5x = 18200

$=\frac{15x}{100} + 12800 -\frac{93x}{100} +\frac{95x}{100}=18200 \\ \\ =\frac{15x}{100}-\frac{93x}{100}+\frac{95x}{100}=18200-12800 \\ \\ x=\frac{5400\times{100}}{54} \\ \\ x=10000$

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Money invested in Bank B = (80000 - 6x)

= (80000 - 60000)

= ₹ 20,000