Final answer:
Mrs. Laxmi Yadav's original investment in equity funds was Rs. 75,000, calculated by working backward from her reinvestment amount in equity funds after earning a 30% dividend.
Step-by-step explanation:
To solve the problem of how much Mrs. Laxmi Yadav originally invested in equity funds, we need to reverse-engineer the information provided. After receiving a 30% dividend on her total investment, Mrs. Yadav reinvested her funds in debt and equity again, but with a different ratio of 6:7. It is given that the amount reinvested in equity is Rs. 94,500.
Let us denote the total amount after the dividend as 'x'. Then, the amount reinvested in equity would be 7/13 of x, as the ratio of debt to equity is now 6:7. Hence, 7/13 * x = Rs. 94,500, which gives us x = Rs. 94,500 * 13/7 = Rs. 175,500. This total includes the 30% dividend. Therefore, the original amount 'y' before the dividend can be found from y * 1.30 = Rs. 175,500, yielding y = Rs. 175,500 / 1.30 = Rs. 135,000 as the total amount invested in both debt and equity before the dividend.
The original ratio of debt to equity investment was 4:5. Given that the total original amount is Rs. 135,000, the amount in equity would be 5/9 of this total because the total parts of the ratio are 4+5=9. Hence, the original investment in equity equates to Rs. 135,000 * 5/9 = Rs. 75,000.