For the following questions answer them individually
If half of the quantity of sugar in a bag was sold at a profit of 20%, a quarter of the quantity of sugar in the bag was sold at a profit of 16%, and the remaining sugar in the bag was sold at a profit of 24%, and the total profit obtained by selling all the sugar in the bag was ₹90, what was the cost price of the entire quantity of sugar in the bag?
If two circles of radii 28 cm and 18 cm touch each other externally, then the length of a common tangent is _________. [Give your answer correct to 2 decimal places.]
How much water (in ml) should be added to 300 ml of a 75% milk and water mixture so that it becomes a 45% milk and water mixture?
The marked price of a shirt is ₹1,200. The shopkeeper gives successive discounts of 25% and 20%. Find the selling price of the shirt.
A batch of 30 students took an intelligence test in an institution. 20 of them scored an average of 75 marks and the remaining students scored an average of 87 marks. What is the average score of the entire batch of students?
Find the value of p from the following.
$$1\frac{2}{3}\div\frac{4}{9}\div\frac{p}{9} = 1\frac{1}{4}\times\frac{2}{3}\div\frac{1}{6}$$
Sundar lends a sum of ₹6,000 to Mahesh at an interest rate of 10% p.a., compounded annually. What will be the amount at the end of 2 years?
At 19% discount, the selling price of a book is ₹453.60. What is its marked price (in ₹)?
Kumar’s salary is ₹ 30,000 per month. He spends 25% of this on food and rent and 20% of the remaining on education. But he pays 5% of his total salary on paying the income tax and saves ₹ 8,000 after all these three deductions. What is the amount (in ₹.) available with him after his savings?
