Sujoy Kumar Datta

There are three solutions. In the first, water and a liquid A are in the ratio 1 : 2, the second has water and a liquid B in the ratio 1 : 3, and third has water and a liquid C in the ratio 1 : 4. These three solutions of A, B, and C, respectively, are further mixed in the ratio 4 : 3 : 2. The resulting mix has

From a barrel containing 160 units of alcohol, ‘x’ units are drained out and replaced with water. Then ‘x’ units of alcohol-water solution is drained out and replaced with water. If the quantity of alcohol left in the barrel is 90 units, what is ‘x’?

The percentages of acid in three mixtures A, B and C form a geometric progression in that order. If we mix the first, second and third mixtures in the ratio 2 : 3 : 4, by volume, we obtain a mixture containing 32% acid. If we mix them in the ratio 3 : 2 : 1, by volume, we obtain a mixture containing 22% acid. What is the percentage of acid in A?

The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. Each of three vessels A, B, C contains 500 ml of salt solution of strengths 10%, 22%, and 26%, respectively. Now, 100 ml of the solution in vessel A is transferred to vessel B. Then, 100 ml of the solution in vessel B is transferred to vessel C. Finally, 100 ml of the solution in vessel C is transferred to vessel A. The strength, in percentage, of the resulting solution in vessel A is

There are two barrels, each containing a mix of paints X and Y. In barrel 1, X and Y are in a 18 : 7 ratio. The contents of barrels 1 and 2 are mixed in the ratio 3 : 4 and in this final mix, X and Y are in a 4 : 3 ratio. In barrel 2, then X and Y were in the ratio

Ramu and Lalit start with beads in the ratio 4:9. Then Lalit gave some of his beads to Ramu. Thereafter, the ratio of the number of beads with Ramu to that with Lalit became 2:3. What portion of his original number of beads was given by Lalit to Ramu?

Let the value of a gold coin vary as the square of its diameter, if its thickness remains constant. Let the value vary as the thickness, if the diameter remains constant. If the diameters of two coins are in the ratio 4 : 3, what will be the ratio of their thickness if the value of the first coin is four times that of the second?

Three friends are sitting around a table, and are about to eat their dinner. One of them has 5 small cakes, the second has 3 small cakes. The third has no food, but has 8 dollars. He offers to pay for some cake. They agree to share the 8 cakes equally among the three friends, and the third friend will pay 8 dollars for his share of the 8 cakes. All cakes were the same size. The second friend (who had 3 cakes) suggests that he will be paid 3 dollars, and that the first friend be paid 5 dollars. The first friend says that he should get more than 5 dollars. How much should he get?