Question

Aslamchacha got ₹ 100000 when he retired from his service. He deposited some of that money in the post office and got ₹ 5400 in total per year as interest. If the rates of simple interest per annum in the bank and in the post office are 5% and 6% respectively, then let us write by calculating the money he had deposited in the bank and post office

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Let Aslamchacha deposit ₹ x at the rate of 5 % for 1 year in the bank and he deposited ₹ (100000 – x) at the rate of 6 % for 1 year in the post office.

1st case (In Bank) :

Simple Interest = \frac{\text { Principal } × \text { rate } × \text { time }}{100}

= ₹ \frac{x × 5 × 1}{100} = ₹ \frac{5 x}{100}

2nd case (In Post office) :

Simple Interest = \frac{\text { Principal } × \text { rate } × \text { time }}{100}

= ₹ \frac{(100000 - x) × 6 × 1}{100}

= ₹ \frac{(100000 - x) × 6}{100}

According to the problem,

\frac{5 x}{100}+\frac{(10000-x) 6}{100}=5400 \\

or, \frac{5 x+600000-6 x}{100}=5400 \\

or, -x + 600000 = 540000

or, 60,0000 – 540000 = x

or, x = 60000

∴ He deposited ₹ 60,000 in bank and ₹ (100000-60000) = ₹ 40,000 in post office

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