Sarvesh K Verma Solutions for Chapter: Alligations, Exercise 1: CAT - Test Questions Helping You Bell the CAT

A trader sells total $315$ TV sets. He sells black and white TV sets at a loss of $6\%$ and colour TV sets at a profit of $15\%.$ Thus he gains $9\%$ on the whole. The no. of B/W TV sets, which he has sold, is:

Baniya sells two types of tea viz. Desi Chai and Videshi hai. He sells Desi Chai at Rs. 18 per kg and incurs a loss of 10% whereas on selling the Videshi Chai at Rs. 30 per kg, he gains 20%. In what proportion should the Desi Chai and Videshi Chai be mixed such that he can gain a profit of 25% by selling the mixture at Rs. 27.5 per kg ?

The average weight of boys in a class is $30 \mathrm{kg}$ and the average weight of girls in the same class is $20 \mathrm{kg}$. If the average weight of the whole class is$23.25$ $\mathrm{kg}$, what could be the possible strength of boys and girls respectively in the same class?

In a mixture of milk and water, there is only 26% water.After replacing the mixture with 7 litres of pure milk,the percentage of milk in the mixture become 76%.The quantity of mixture is :

$4 \mathrm{kg}$ of a metal contains $\frac{1}{5}$ copper and the rest is zinc. Another $5 \mathrm{kg}$ of metal contains $\frac{1}{6}$ copper and the rest is zinc. Find the ratio of copper and zinc in the mixture of these two metals.

The ratio of petrol and kerosene in the container is $3:2$. When $10$ litres of the mixture is taken out and is replaced by the kerosene, the ratio becomes $2:3$ . Then total quantity of the mixture in the container is:

From a container, 6 litres milk was drawn out and was replaced by water. Again 6 litres of mixture was drawn out and was replaced by the water. Thus, the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:

A milkman brings $100$litres pure milk from a dairy farmer and sells $10$litres of it to the first customer, then, he refills his vessel by adding $10$litres water. After this, he proceeds to the next house and sells $10$litres of it to the second customer and then he refills his vessel again by adding 10 litres of water. Thus, every time he sells $10$litres of milk, pure or impure, he keeps on replacing it with $10$ litres of pure water. Maximum how many customers can get at least $50\%$ milk in the mixture that they purchase from this milkman?