A sum of Rs 16800 is divided into two parts One part is lent at the simple rate of interest 6 per an...........

Quant (SSC) Simple Interest

A sum of Rs. 16800 is divided into two parts. One part is lent at the simple rate of interest 6% per annum and the other at 8% per annum. After 2 years the total sum received is Rs. 19000. The sum lent at the rate of 6% simple interest is

Rs. 12200

Rs. 12000

Rs. 11000

Rs. 10000

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Explanation:

Let the sum lent at 6% rate of interest be ? x.
Then, ? (16800 – x) is lent at 8% rate of interest.
Then, SI = 19000 – 16800 = ? 2200
x × 6 × 2 /100 + (16800 – x) × 8 × 2 /100 = 2200
⇒ 12x + 268800 – 16x = 2200 × 100
⇒ 4x = 48800
⇒ x = 48800 /4 = 12200