Rs 12000 is divided into two parts so that the simple interest on the first part of 3 years at 12 p...........

Quant (SSC) Simple Interest

Rs. 12000 is divided into two parts so that the simple interest on the first part of 3 years at 12% per annum may be equal to the simple interest on the second part for 4.5 years at 16% per annum. The ratio of the first part to the second part is

2 : 1

1 : 2

2 : 3

3 : 2

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Explanation:

Let the first part be Rs. x and Second part = Rs. (12000 – x)
According to question,
∴ x × 3 × 12 /100
= (12000 – x) × 9 × 16 /200
⇒ x /(12000 – x)
= 9 × 16 × 100 /3 × 12 × 200
= 2/1 = 2 : 1