1.If Type 1 rice costs Rs. 15 per kilogram and Type 2 rice costs Rs. 20 per kilogram, what is the price per kilogram when these two types are blended in the ratio 2:3?
2.A grocer has two types of tea priced at Rs. 60 per kg and Rs. 65 per kg. In what proportion should he blend these teas if he wants to sell the mixture at Rs. 68.20 per kg and achieve a 10% profit?
3.In what proportion should rice priced at Rs. 7.20 per kg be combined with rice costing Rs. 5.70 per kg to obtain a mixture valued at Rs. 6.30 per kg?
4.What ratio of water should be mixed with spirit to achieve a 20% profit when selling the mixture at the original cost price of the spirit?
5.A bucket contains 40 liters of milk priced at Rs. 3.50 per liter. How many liters of water should be added to reduce the price of milk to Rs. 2 per liter?
6.Vessels A and B contain milk and water in the ratios 4:3 and 2:3 respectively. In what proportion should the contents of these two vessels be combined to produce a mixture in vessel C with equal parts milk and water?
7.A bag contains an equal quantity of coins worth Rs.5, Rs.2, and Re.1 each. If the total sum of money in the bag is Rs.1152, how many coins of each denomination are there?
8.Arslan and Bilal each have some marbles. Arslan says to Bilal, "If you give me 'x' marbles, we will both have the same number of marbles." Bilal replies, "If you give me twice that amount, I will have 30 marbles more than you." What is the value of 'x'?
9.Atif purchased 16 chapatis, 5 servings of rice, 7 servings of mixed vegetables, and 6 ice-cream cups. Each chapati costs Rs. 6, each rice serving is Rs. 45, and each mixed vegetable serving is Rs. 70. If Atif paid a total of Rs. 961, what is the price of one ice-cream cup?
10.Find three consecutive odd numbers arranged in ascending order where the sum of the last two numbers exceeds the first number by 13. What are these numbers?
11.In a zoo, there are rabbits and peacocks. The combined number of their heads is 60, and the total number of legs is 192. How many rabbits are there in total?
12.On Independence Day, bananas were distributed equally among all the students in a school so that each student would receive two bananas. However, 360 students were absent that day, resulting in each present student receiving two additional bananas. What is the total number of students enrolled in the school?
13.Eight years ago, Zahid’s age was 4/3 times that of Shahid. After eight years from now, Zahid’s age will be 6/5 times Shahid’s age. What is Zahid’s current age?
14.A sum of Rs.1200 is shared among P, Q, and R. P receives half the combined amount of Q and R. Q obtains one-third of the total amount received by P and R. What is the share of R?
15.P, Q, and R share a total of Rs. 6000. If R possesses two-thirds of the combined amount held by P and Q, what is the sum of money with R?
16.A collection contains 93 coins consisting of one rupee and 50 paise coins. If the combined value of all the coins is Rs. 56, how many 50 paise coins are there?
17.If the total price of 16 pens and 8 pencils is Rs. 352, and the total price of 4 pens and 4 pencils is Rs. 96, what is the price of one pen?
18.Four consecutive even integers add up to 292. What is the smallest of these numbers?
19.The current average age of a couple and their daughter is 35 years. After 15 years, the mother's age will equal the combined current ages of the father and the daughter. What is the mother's present age?
20.A decade ago, Aftab's age was one-third of Kashif's age at that time. Currently, Kashif is 12 years older than Aftab. What is Aftab's current age?