An alloy contains a mixture of two metals X and Y in the ratio of 2 : 3. The second alloy contains a mixture of the same metals, X and Y. in the ratio 7 : 3. In what ratio should the first and the second alloys be mixed so as to make a new alloy containing 50% of metal X?

In a bag there are coins of ₹5, ₹10 and ₹20 denominations. The total number of coins in the bag is 240. If the number of coins of ₹5, ₹10 and ₹20 denominations are in the ratio of 2 : 3 : 5, then what is the total amount of money in the bag?

The ratio of 45% of 80% of A to 30% of 40% of B is 15: 4. If the average of A and B is 67.5, what is the value of AB?

16 boys or 12 women can do a piece of work in 28 days. In how many days will the same work be done by 4 boys and 4 women, if they all work together?

Each side of a square is 12 cm long. The perimeter of this square is equal to the perimeter of a rectangle whose length is 16 cm. What will be the area of this rectangle?

The cost price of 27 articles is the same as the selling price of 18 articles. What is the gain percentage?

If $$P_1$$, $$P_2$$, and $$P_3$$ are three distinct prime numbers, then what is the least common multiple of $$P_1$$, $$P_2$$, and $$P_3$$?

The following table shows the numbers of chairs made of plastic and of steel in 5 different colours that were sold from a furniture showroom during a sale.

The total number of chairs of colour C3 sold are what percentage of all the chairs of these 5 colours sold, both plastic and steel ones put together? [Give your answer correct to 2 decimal places.]