Question
In a mixture, the quantity of salt is 40% of the
quantity of water. On removing 90 litres mixture and adding 20 litres each of salt and water, the quantity of salt becomes 30 litres less than that of water in the final mixture. Find the final quantity of water.Solution
ATQ, After removal of 90 litres of mixture, Let the initial quantity of water be '100b' litres. Initial quantity of salt = 0.4 × 100b = '40b' litres. ATQ, 100b - 40b = 30 Or, 60b = 30 Or, 'b' = 30/60 = 0.5 Therefore, final quantity of water = 100b + 20 = 100 × 0.5 + 20 = 50 + 20 = 70 litres
Amit marked up an article of cost price Rs. 500 by certain percent and then sold it at discount of 20%. He suffered a loss of 12% in the whole transacti...
A product is sold at a profit of 25%. If the cost price is increased by 50% and the selling price remains the same, what will be the percentage of profi...
- A trader sold a product for Rs. 180 after allowing a discount of ‘z%’ on its marked price. If the marked price of the product is Rs. 200, then find the...
The selling price of article X is 40% more than its cost price. The selling price of article Y is Rs. 2,500 less than 1.5 times its cost price. If the c...
Vishal sold an item for a 25% profit. Later, he reduced the cost price and selling price of the item by 20% and 10%, respectively, from their original v...
A trader marks his goods at 40% above the cost price and offers a discount of 20%. If the trader still makes a profit of Rs. 96, find the cost price.
A person bought a mobile phone at a 10% discount. If he had bought it at a 20% discount, he would have saved ₹3000 more.
Find the market price ...A trader marked an item costing Rs 2000 by 25% above its cost price and sold it for Rs 2250 after giving a discount of X%. Find the value of X.
A shopkeeper marked an article P% above its cost price and sold it for Rs. 1080 after giving a discount of 20%. If the ratio of cost price and selling p...
- In triangle PQR, a point S is on QR such that ∠PSQ = ∠SPR. If PQ = 60 cm, PR = 45 cm, and QR = 35 cm, find the length of QS.