A sum of Rs. 2600 is lent out into two parts, one at 9% and another at 7% if the total annual income is Rs. 206, find the money lent at 7%.

Rs. 1400
Rs. 900
Rs. 1600
Rs. 1200

Correct Answer: Rs. 1400

Explanation:

Money lent at 9% = x
Money lent at 7% = (2600 – x)
⇒ 9x/100 + (2600 – x) X 7 /100 = 206
⇒ 9x + 18200 – 7x = 20600
⇒ 2x = 2400
⇒ x = 1200
Money lent at 7% = 2600-1200 = 1400

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