Question 1
Suppose \(x = \sqrt{2} + \sqrt{3},\ y\) \({}= \sqrt{5} + \sqrt{1}\), and \(z = 2\sqrt{2} + 1\); then which of the following is true?
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Suppose \(x = \sqrt{2} + \sqrt{3},\ y\) \({}= \sqrt{5} + \sqrt{1}\), and \(z = 2\sqrt{2} + 1\); then which of the following is true?
The budget for a construction project is allocated to land acquisition, building materials, and labor in the ratio \(5 : 3 : 2.\) During the project, the cost of land acquisition rose by 5%, building materials rose by 10%, and labor fell by 20%. What is the percent change (increase or decrease) in the total project cost?
Evaluate: \(6\) \({}- \left[\frac{2}{3} \div \left\{\frac{1}{6} + \left(\frac{1}{2} \times \left(1 - \frac{1}{3}\right)\right)\right\}\right]\)
X, Y, and Z invested ₹25,000, ₹35,000, and ₹40,000 respectively in a business. If the profit at the end of the year was ₹30,000, find Y's share.
A and B started a business by investing ₹48,000 and ₹72,000 respectively. After 6 months, A withdrew half of his capital, while B increased his capital by ₹24,000. At the end of the year, they earned a total profit of ₹55,000. What is B's share in the profit?
Table – Daily Wages of 5 Workers Over 4 Days
| Day | A | B | C | D | E |
|---|---|---|---|---|---|
| Day 1 | 200 | 180 | 220 | 160 | 190 |
| Day 2 | 210 | 175 | 230 | 170 | 195 |
| Day 3 | 190 | 185 | 215 | 180 | 200 |
| Day 4 | 220 | 190 | 225 | 175 | 205 |
Q: What is the average daily earning of Worker C?
In a city, the current number of literate people is 25,000. If the number of literate males decreases by 5% and the number of literate females increases by 10%, the total literate population becomes 25,250. What is the present number of literate males in the city?
A baker ordered 10 kg of premium flour and some additional kg of standard flour. The price of premium flour per kg was twice that of the standard flour. Due to an ordering error, the quantities of the two types of flour were interchanged. This decreased the total cost by 25%. Find the ratio of the quantity of premium flour to standard flour in the original order.
A vendor sold 15 toys for ₹3000 and gained a profit of 25%. How many toys should he sell for ₹2816 to make a profit of 10%?
A trader sells one brand of tea at ₹150 per kg, incurring a 25% loss. He also sells another brand of tea at ₹200 per kg, incurring a 20% loss. If he mixes the two brands in equal proportions and sells the mixture at ₹175 per kg, what is his overall profit or loss percentage?