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Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity Funds in the ratio of 4 : 5. At the end of one year, she earned a total dividend of 30% on her
investment. After one year, she reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. Ifthe amount reinvested in Equity Funds was
Rs.94,500, what was the original amount invested in Equity Funds?
?
investment. After one year, she reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. Ifthe amount reinvested in Equity Funds was
Rs.94,500, what was the original amount invested in Equity Funds?
?
Verified Answer
Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity ...
Let's call the original amount invested in Equity Funds X.
The original amount invested in Debt Funds is 4/9 of X, since the ratio of Equity to Debt Funds is 5:4.
The total amount invested is X + 4/9X = 13/9X.
The total dividend earned is 30/100*(X + 4/9X) = 3/10X + 4/9X = 7/18X.
The amount reinvested in Equity Funds is 6/13 of the total amount reinvested, or 6/13*(X + 4/9X + 7/18X) = 6/13*(23/18X).
Since this amount is Rs.94,500, we can set up the equation: 6/13(23/18*X) = 94,500.
Solving for X, we get: X = Rs.72,000.
Therefore, the original amount invested in Equity Funds is Rs.72,000.
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Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity ...
Given Information:
Mrs. Laxmi Yadav invested a certain amount of money in Debt and Equity Funds in the ratio of 4:5. At the end of one year, she earned a total dividend of 30% on her investment. After one year, she reinvested the amount including the dividend in the ratio of 6:7 in Debt and Equity Funds. The amount reinvested in Equity Funds was Rs. 94,500.
Let's assume:
Let the original investment in Debt Funds be 4x.
Let the original investment in Equity Funds be 5x.
Calculation:
Step 1: Calculation of Dividend:
The dividend earned on the investment at the end of one year is 30% of the total investment.
Dividend = 30% of (4x + 5x)
Dividend = 30% of 9x
Dividend = 0.3 * 9x
Dividend = 2.7x
Step 2: Calculation of Total Value after Dividend:
After receiving the dividend, Mrs. Laxmi Yadav reinvested the amount in the ratio of 6:7.
Let's assume the total value after reinvestment is y.
Debt Funds: 6/13 * y
Equity Funds: 7/13 * y
Given that the reinvestment in Equity Funds was Rs. 94,500, we can set up the equation as follows:
7/13 * y = Rs. 94,500
Solving for y, we find:
y = Rs. (94,500 * 13/7)
y = Rs. 1,76,500
Step 3: Calculation of Original Investment in Equity Funds:
The original investment in Equity Funds was 5x. We need to find the value of x.
5x = 1,76,500
x = 1,76,500/5
x = Rs. 35,300
Therefore, the original amount invested in Equity Funds was Rs. 35,300.
Summary:
Mrs. Laxmi Yadav originally invested Rs. 35,300 in Equity Funds. After one year, she earned a dividend of 30% on her total investment. She reinvested the entire amount, including the dividend, in the ratio of 6:7 in Debt and Equity Funds. The amount reinvested in Equity Funds after one year was Rs. 94,500.
Mrs. Laxmi Yadav invested a certain amount of money in Debt and Equity Funds in the ratio of 4:5. At the end of one year, she earned a total dividend of 30% on her investment. After one year, she reinvested the amount including the dividend in the ratio of 6:7 in Debt and Equity Funds. The amount reinvested in Equity Funds was Rs. 94,500.
Let's assume:
Let the original investment in Debt Funds be 4x.
Let the original investment in Equity Funds be 5x.
Calculation:
Step 1: Calculation of Dividend:
The dividend earned on the investment at the end of one year is 30% of the total investment.
Dividend = 30% of (4x + 5x)
Dividend = 30% of 9x
Dividend = 0.3 * 9x
Dividend = 2.7x
Step 2: Calculation of Total Value after Dividend:
After receiving the dividend, Mrs. Laxmi Yadav reinvested the amount in the ratio of 6:7.
Let's assume the total value after reinvestment is y.
Debt Funds: 6/13 * y
Equity Funds: 7/13 * y
Given that the reinvestment in Equity Funds was Rs. 94,500, we can set up the equation as follows:
7/13 * y = Rs. 94,500
Solving for y, we find:
y = Rs. (94,500 * 13/7)
y = Rs. 1,76,500
Step 3: Calculation of Original Investment in Equity Funds:
The original investment in Equity Funds was 5x. We need to find the value of x.
5x = 1,76,500
x = 1,76,500/5
x = Rs. 35,300
Therefore, the original amount invested in Equity Funds was Rs. 35,300.
Summary:
Mrs. Laxmi Yadav originally invested Rs. 35,300 in Equity Funds. After one year, she earned a dividend of 30% on her total investment. She reinvested the entire amount, including the dividend, in the ratio of 6:7 in Debt and Equity Funds. The amount reinvested in Equity Funds after one year was Rs. 94,500.
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Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity Funds in the ratio of 4 : 5. At the end of one year, she earned a total dividend of 30% on herinvestment. After one year, she reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. Ifthe amount reinvested in Equity Funds wasRs.94,500, what was the original amount invested in Equity Funds??
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Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity Funds in the ratio of 4 : 5. At the end of one year, she earned a total dividend of 30% on herinvestment. After one year, she reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. Ifthe amount reinvested in Equity Funds wasRs.94,500, what was the original amount invested in Equity Funds?? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity Funds in the ratio of 4 : 5. At the end of one year, she earned a total dividend of 30% on herinvestment. After one year, she reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. Ifthe amount reinvested in Equity Funds wasRs.94,500, what was the original amount invested in Equity Funds?? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity Funds in the ratio of 4 : 5. At the end of one year, she earned a total dividend of 30% on herinvestment. After one year, she reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. Ifthe amount reinvested in Equity Funds wasRs.94,500, what was the original amount invested in Equity Funds??.
Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity Funds in the ratio of 4 : 5. At the end of one year, she earned a total dividend of 30% on herinvestment. After one year, she reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. Ifthe amount reinvested in Equity Funds wasRs.94,500, what was the original amount invested in Equity Funds?? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity Funds in the ratio of 4 : 5. At the end of one year, she earned a total dividend of 30% on herinvestment. After one year, she reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. Ifthe amount reinvested in Equity Funds wasRs.94,500, what was the original amount invested in Equity Funds?? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mrs. Laxmi Yadav invested a certain amount ofmoney in Debt and Equity Funds in the ratio of 4 : 5. At the end of one year, she earned a total dividend of 30% on herinvestment. After one year, she reinvested the amount including the dividend in the ratio of 6 : 7 in Debt and Equity Funds. Ifthe amount reinvested in Equity Funds wasRs.94,500, what was the original amount invested in Equity Funds??.
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