A woman suffered $20 %$ loss on first investment and made $10 %$ profit at second investment and $12 %$ profit on the third investment. If the invested amount be in the ratio of $4 : 5 : 3$ , find her profit percentage?

Open in App

Solution

From the given data,let the amounts invested be $4 p, 5 p$ and $3 p$
Net profit $=$ Total profit $-$ Total loss
$= 10 \times \frac{5 p}{100} + 25 \times \frac{3 p}{200} - 20 \times \frac{4 p}{100}$
$= 0.875 p - 0.8 p = 0.075 p$
$∴$ , profit $% = (\frac{N e t - p r o f i t}{T o t a l - i n v e s t m e n t}) \times 100$
$= 0.075 \times \frac{100}{12}$
$= 0.0625 %$

Suggest Corrections

Similar questions

Q. Sushma invested ₹40000 in her new food business. In the first year she suffered a loss of 10%. She invested the amount left with her in a metal business and made a 12% profit on it. Calculate the overall profit or loss that she incurred.

If A and B invest some amount for the same time and after one year share their profit in the ratio of 3 : 4 respectively . If the total investment is Rs. 7000, find the investment of A.

Q. A and B both start a business. Amount invested by B is one-third of that invested by A. Three months from the start of the business, A withdrew one-third of his investment and B tripled his investments. If from the total annual profit earned, A receives Rs. 1800 as his share of the profit, what was the total annual profit earned?

Q. A person divided an amount of Rs. 100,000 into two parts and invested in two different schemes. In one he got 10% profit and in the other he got 12%. If the profit percentages are interchanged with these investments he would have got Rs. 120 less. Find the ratio between his investments in the two schemes.

Q. The optimal solutions for 'investment and profit' based question, the ratio of profit to the investment is minimum.

Join BYJU'S Learning Program

A woman suffered 20% loss on first investment and made 10% profit at second investment and 12% profit on the third investment. If the invested amount be in the ratio of 4:5:3, find her profit percentage?

From the given data,let the amounts invested be 4p,5p and 3pNet profit =Total profit− Total loss=10×5p100+25×3p200−20×4p100=0.875p−0.8p=0.075p∴, profit%=(Net−profitTotal−investment)×100=0.075×10012 =0.0625%

A woman suffered $20 %$ loss on first investment and made $10 %$ profit at second investment and $12 %$ profit on the third investment. If the invested amount be in the ratio of $4 : 5 : 3$ , find her profit percentage?