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Questions
30
Time
30 min
Marks
30
Solutions
All inline
Q1800 students took the CAT exam in Delhi. 50% of the boys and 90% of the girls cleared the cut off in the examination. If the total percentage of qualifying students is 60%, how many girls appeared in the examination?MediumSolve →Q2Ashok purchased two qualities of grains at the rate of Rs. 100 per quintal and Rs. 160 per quintal. In 50 quintals of the second quality, how much grain of the first quality should be mixed so that by selling the resulting mixture at Rs. 195 per quintal, he gains a profit of 30%?MediumSolve →Q3Q₃.Two types of milk having the rates of Rs. 8/liter and Rs. 10/liter respectively are mixed in order to produce a mixture having the rate of Rs. 9.20/liter. What should be the amount of the second type of the milk if the amount of the first type of milk in the mixture is 20 liters?MediumSolve →Q4Kiran lends Rs. 1000 on simple interest to Harsh for a period of 5 years. She lends a part of the amount at 2% interest and the rest at 8% and receives Rs. 300 as the amount of interest. How much money (in Rs.) did she lend at a 2% interest rate?MediumSolve →Q5A tank contains 500 liters of wine. 50 liters of wine is taken out of it and replaced by water. The process is repeated again. Find the proportion of water and wine in the resulting mixture.MediumSolve →Q6A dishonest shopkeeper purchased milk at Rs. 100 per liter and mixed 10 liters of water in it. By selling the mixture at the rate of Rs. 100 per liter he earns a profit of 25%. The quantity of the amount of the mixture that he had was:MediumSolve →Q7A vessel is full of milk ¼ of the milk is taken out and the vessel is filled with water. If the process is repeated 4 times and 100 liters of milk is finally left in the vessel, what is the capacity of the vessel?MediumSolve →Q8Pinku, a dishonest grocer, professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 25%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available.MediumSolve →Q9A mixture of 40 litres of milk and water contains 10% water. How much water should be added to it to increase the percentage of water to 25%.MediumSolve →Q10There are two mixtures of milk and water, the quantity of milk in them being 20% and 80% of the mixture. If 2 litres of the first are mixed with three litres of the second, what will be the ratio of milk to water in the new mixture?MediumSolve →
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