We know cos 2θ = 1 - 2sin² θ. Given cos 2θ = 3/4, substituting: 3/4 = 1 - 2sin² θ. Thus, 2sin² θ = 1 - 3/4 = 1/4, so sin² θ = 1/8.
A spent 40% and 25% of his monthly salary on food and rent, respectively. Of the remaining amount, he gave 22% and 44% to his mother and brother, respec...
Two candidates P and Q contested in an election. 70% of the registered voters are P supporters. If 60% of the P supporters and 30% of the Q supporters a...
Sonia goes to a clothing store with a certain amount of money. She can buy 90 shirts or 30 trousers with the money she has. However, she decides to save...
The cost price of juice is 50% more than the cost price of lemon soda. A juice seller mixed 120 ml of juice with 30 ml of lemon soda in a glass. By mist...
A person initially spends 50% of his salary and saves the rest. After his salary increases by 30%, he continues to save the same amount but now spends R...
Out of the total income of Anjali, she spends 20% on food, 40% on rent and 25% on groceries. Out of the remaining income, she donates 35% in a charity a...
A school sells notebooks at ₹20 each. If a student buys 10 notebooks and there is a 15% discount on the total price, what is the final amount the stud...
A towel was 75 cm long and 120cm broad. When bleached, it was to have lost 40% of its length and 20% breadth. The percentage of decrease in area is:
In January, 'A' earned Rs. 16,000 and spent 75% of it. The following month, his income rose by Rs. 4,000, and his savings went up by Rs. 2,000. Calculat...
In a colony, there are 110 APL families and 50 BPL families. Each APL and BPL family got blankets equal to 20% and 75%, respectively of total number of ...
