Investment in 12% and 15% Stock Dilemma

Sakshi's Investment Puzzle

Question:

Final answer:

The student's question concerns the calculation of the amount invested in 12% stock at Rs 120 when the total investment is Rs 12000 and the annual dividend is Rs 1360. By setting up an equation with x representing the amount invested in the 12% stock, we can solve for x to find the answer.

Explanation:

The student is asking how much was invested in a 12% stock at Rs 120 when a total of Rs 12000 was invested in two different stocks and the total dividend is Rs 1360. To determine the amount invested in the 12% stock, we need to set up an equation based on the given information. Let the amount invested at 12% be x, then the amount invested at 15% would be 12000 - x. Since the dividend is the product of the percentage rate and the amount invested (adjusted for the stock price), we can write the following equations:

• Dividend from 12% stock = (x / 120) * 12
• Dividend from 15% stock = ((12000 - x) / 125) * 15

We find that the total dividend is:

(x / 120) * 12 + ((12000 - x) / 125) * 15 = 1360

By solving the above equation, we can find the value of x, which represents the amount invested in 12% stock at Rs 120.