Alligations or Mixture
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41 A person covers a distance of 100 km in 10 hours, partly by walking at 7 km/h and the rest by running at 12 km/h. Find the distance covered in each part:
42 A person buys two articles for ₹ 1,350 and sells one at a loss of 6% and the other at a gain of 7.5% and on the whole he neither gains nor loses. What does each article cost?
43 A merchant had 50 kg of pulse. He sells one part at a profit of 10% and other at 5% loss. Overall he had a gain of 7%. Find the quantity of pulses, which he sold at 10% profit and 5% loss:
44 Tea worth ₹ 126 per kg and ? 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth ₹ 153 per kg, the price of the third variety per kg will be
45 A container contains a mixture of two liquids A and B in the ratio of 7 : 5. When 9 L of mixture is drawn off and the container is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the container initially?
46 A milk seller has a milk of ? 100 per litre. In what ratio should water be mixed in that milk, so that after selling the mixture at ? 80 per litre, he may get a profit of 50%?
47 Gold is 19 times as heavy as water and copper is 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?
48 A vessel is filled with milk and water. 70% of milk and 30% of water is taken out of the vessel. It is found that the vessel is vacated by 55% and has 160 L mixture. Find the quantity of milk and water in this mixture:
49 A man has given ₹ 300000 as loan. He lent some of his capital to Ajay at an interest rate of 20% per annum and the rest to Pratap at an interest rate of 12% per annum. At the end of one year, he got 17% of his capital as interest. How much did he lend to Ajay?
50 60 kg of a certain variety of rice at ₹ 32 per kg is mixed with 48 kg of another variety of rice and the mixture is sold at the average price of ₹ 28 per kg. If there be no profit or loss due to the new sale price, then the price of the second variety of rice is
