Problem 1

German silver is a type of alloy in which a silver compound is found in ordinary silver ore. German silver is a clever innovation of greedy industry owners in which they fleece the innocent buyer. Which of the following statements below, if true, would explain the reason why industry owners could fleece the innocent buyer without being caught?

• 1. The government control bureau of standards does not provide strict norms for the purity of the metal.
• 2. The areas that experience such sale of German silver have the maximum industries and silver ore mines.
• 3. Finding out the silver content in German silver is a very cumbersome process and costlier than extracting silver from ordinary silver ore
• 4. The greedy industry owners maintain a very good PR activity so that the government control bureau of standards does not suspect them.

Problem 2

A Machine produces 100 units a day out of which 10% are defective, the cost price of each unit is Rs. 5 while the selling price is Rs. 10. It the production increases by X units per day, the cost price also increased by (0 8X)% in that case defective units are (10+0.4%)%. Find the profit of loss percent when the production per day increases upto 125 units

Problem 3

Three friends Alice, Bond and Charlie divided Rs. 2,210 amongst them in such a way that if Rs. 17, Rs. 10 and Rs. 18 are deducted from the sums that Alice, Bond and Charlie received respectively, then the resultant ratio of their sums received will be 133:171:129. How much sum did Charlie receive?

Problem 4

In a class, the marks scored by one of the students were mistakenly recorded as 92 instead of 56. As a result, the average marks of the class increased from 71.75 to 72.50. If the marks of two additional students, 52 and 54, are included, what is the average of the actual marks scored by all the students?