X and Y entered into partnership with Rs. 700 and Rs. 600 respectively. After 3 months, X withdrew \( \frac{2}{7} \) of his stock but after 3 months, he puts back \( \frac{3}{5} \) of what he had withdrawn. The profit at the end of the year is Rs. 726. How much of this should X receive?

X’s initial capital = Rs. 700, Y’s capital = Rs. 600 For the first 3 months, X’s investment remains Rs. 700. After 3 months, X withdraws \( \frac{2}{7} \) of 700: \[ \frac{2}{7} \times 700 = 200 \] Remaining capital: \[ 700 - 200 = 500 \] After another 3 months, X puts back \( \frac{3}{5} \) of what he withdrew: \[ \frac{3}{5} \times 200 = 120 \] New capital: \[ 500 + 120 = 620 \] Investment time-weighted: \[ 700 \times 3 + 500 \times 3 + 620 \times 6 = 2100 + 1500 + 3720 = 7320 \] Y’s total contribution: \[ 600 \times 12 = 7200 \] Ratio of profit division: \[ \frac{7320}{7320 + 7200} \times 726 = \frac{7320}{14520} \times 726 \] \[ X's \text{ share} = 366 \] Thus, X should receive Rs. 366.

X and Y entered into partnership with Rs. 700 and Rs. 600 respectively. After 3 months, X withdrew 2/7 of his stock but after 3 months, he puts back 3/5 of what he had withdrawn. The profit at the end of the year is Rs. 726. How much of this should X receive?

Read the following passage carefully and answer the questions that follow.
In a recent discussion paper, NITI Aayog has chalked out an ambitious strategy for India to become an artificial intelligence (AI) powerhouse. AI is the use of computers to make decisions that are normally made by humans. Many forms of AI surround Indians already, including chatbots on retail websites and programs that flag fraudulent bank activity. But NITI Aayog envisions AI solutions for India on a scale not seen anywhere in the world today, especially in five key sectors — agriculture, healthcare, education, smart cities and infrastructure, and transport. In agriculture, for example, machines will provide information to farmers on the quality of soil, when to sow, where to spray herbicide, and when to expect pest infestations. It’s an idea with great potential: India has 30 million farmers with smartphones, but poor extension services. If computers help agricultural universities advise farmers on best practices, India could see a farming revolution.
However, there are formidable obstacles. AI start-ups already offer some solutions, but the challenge lies in scaling these to cover the entire value chain, as NITI Aayog envisions. The first problem is data. Machine learning, the set of technologies used to create AI, is a data-guzzling monster. It takes reams of historical data as input, identifies the relationships among data elements, and makes predictions. More sophisticated forms of machine learning, like “deep learning,” attempt to mimic the human brain. And even though they promise greater accuracy, they also need more data than what is required by traditional machine learning. Unfortunately, India has sparse data in sectors like agriculture, and this is already hampering AI-based businesses today.
In fact, the lack of data means that deep learning doesn’t work for all companies in India. One example is Climate-Connect, a Delhi-based firm, which uses AI to predict the amount of power a solar plant will generate every 15 minutes. This is critical because solar electricity generation can change dramatically every hour depending on weather conditions and the position of the sun.
When this happens, the plant must communicate expected changes to power distributors, which will then switch to alternative sources.
With India planning to install 100 GW of solar power by 2022, such AI will play a central role in power planning.
But to generate such data, Climate-Connect needs historical inputs like the time of sunrise and sunset, and cloud cover where the plant is located. Unfortunately, since most Indian solar plants are recent, data are available only for a couple of years, whereas deep learning needs data over many years to predict generation. Today, the firm uses traditional machine learning technologies such as regression analysis that work with less data. These methods have an accuracy of around 95%. While deep learning can boost accuracy for operations such as Climate-Connect, it hasn’t worked very well in the Indian scenario, says Nitin Tanwar, cofounder of the firm.
Another problem for AI firms today is finding the right people. NITI Aayog’s report has bleak news: only about 50 Indian scientists carry out ”serious research” and they are concentrated in elite institutions such as the Indian Institutes of Technology and the Indian Institutes of Science. Meanwhile,only about 4% of AI professionals have worked in emerging technologies like deep learning. A survey of LinkedIn found 386 out ofthe 22,000 people with PhDs in AI across the world to be Indians. How does this skill gap impact companies? To some extent, open libraries of machine learning code, which can be customised to solve Indian problems, help. This means that companies need not write code from scratch, and even computer science graduates can carry out the customisation.

X and Y entered into partnership with Rs. 700 and Rs. 600 respectively. After 3 months, X withdrew \( \frac{2}{7} \) of his stock but after 3 months, he puts back \( \frac{3}{5} \) of what he had withdrawn. The profit at the end of the year is Rs. 726. How much of this should X receive?

Show Hint

The Correct Option is B

Solution and Explanation

Top Questions on Partnership Accounts

Questions Asked in MAT exam