Question
Mixture ‘P’ contains alcohol and water only in the
ratio 10:7 respectively while mixture ‘Q’ contains water and alcohol in the ratio of 3:5, respectively. Total quantity of mixture ‘P’ is 255 litres while the quantity of alcohol in mixture ‘Q’ is 25 litres more than that in mixture ‘P’. Find quantity of water in mixture ‘Q’.Solution
Let the quantity of alcohol in mixture ‘P’ = 10x kg Then, quantity of water in mixture ‘P’ = 7x kg According to the question, 10x + 7x = 255 Or, x = 255/17 = 15 Total quantity of alcohol in mixture ‘Q’ = 10x + 25 = 150 + 25 = 175 litres Quantity of water in mixture ‘Q’ = 175 × (3/5) = 105 litres
The income of Surya is Rs. 75,000. He spent 16(2/3)% of his income on food, 60% of the remaining income on rent and saved 44% of the income remaining a...
In how many ways can 4 distinct books be distributed into 2 identical boxes such that no box is empty?
A shopkeeper bought two articles for Rs. 600 each. If he sold one of them at 40% profit and the other at 25% loss, then find the difference between the ...
Evaluate: 1 + tan²(cos⁻¹x)
- A shopkeeper makes a profit of 25% by selling an item for Rs. 500. What should be the selling price to make a profit of 40%?
'Arjuna' and 'Bishnu' began running in opposite directions on a circular track of 1200 metres at the same time. If 'Arjuna', who ...
A product is sold at ₹720 after two successive discounts of 10% and 20%. Calculate the marked price of the product.
Kevin and Ben started a business with initial investments in the ratio of 4:5. After six months, Kevin increased his investment by 25%, and Ben increase...
A shopkeeper priced an article at 75% above its cost price and offered a 30% discount on it during the sale. Alternatively, if he had applied two consec...
An inlet pipe can fill a cistern in 25 minutes when working alone. However, due to a leak, the fully filled cistern would empty in 87.5 minutes. If the ...
