Quantity I: A vessel contains a mixture of milk and water in the ratio of 7 : 5. If 9 litre of mixture is sold and replaced by same amount of water then the new mixture contain milk and water in the ratio 7 : 9. Find initial amount of water?

Quantity II: A vessel is full of 63 litre of milk. If 9 litre of milk is taken out and replace by water. Further 7 litre of mixture is taken out and replace again with water then find the amount of water at the end?

\Quantity II: Final Quantity = 63 (1-9/63) (1-7/63) = 63 × 6/7 × 8/9 = 48 litre Water = 63 - 48 = 15 litre. Hence, Quantity I = Quantity II

- What will be the compound interest earned on a sum in two years? I. The simple interest on the same amount at the same rate of interest in two years is Rs. 800. II. The amount becomes more than double at compound interest in 10 years. III. The simple interest on the same amount at the same rate of interest in three years is Rs. 1,200.
- Quantity I. Two pipes A and B can fill a tank in 12 minutes and 16 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 9 minutes? Quantity II. Two pipes A and B can fill a tank in 24 minutes and 48 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 18 minutes?
- What is the larger number? Quantity I. Difference between the two numbers is 21 and LCM and HCF of those numbers are 70 and 7 respectively. Quantity II. The HCF and LCM of two numbers are 12 and 72 respectively. If the sum of the two numbers is 60.
- What is the minimum possible number of chocolates a boy can buy, if there must be atleast one chocolate of each kind? Quantity I. The shop has three different kinds of chocolates costing Rs.2, Rs.5, Rs. 10. The boy spends total Rs. 120 on the chocolates. Quantity II. The shop has three different kinds of chocolates costing Rs.3, Rs.6, Rs. 11. The boy spends total Rs. 145 on the chocolates.
- The ratio of present ages of A and B is 5:8 respectively and the average of present ages of A and C is equal to 80% of the present age of B. 4 years ago from now, B was thrice as old as D. 4 years hence from now, age of D will increase by 25% as compared to his present age. Quantity I: Find the sum of present ages of A and B. Quantity II: Find the sum of present ages of C and D.
- Quantity I. Two pipes A and B can fill a tank in 12 minutes and 16 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 9 minutes? Quantity II. Two pipes A and B can fill a tank in 24 minutes and 48 minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so that the tank is full in 18 minutes?
- Quantity I: An amount is to be distributed among A, B, and C in the ratio 1:3:2 respectively, but was erroneously distributed in the ratio 2:7:9 due to which B got Rs.136 less. What is the amount to be distributed? Quantity II: Rs.1228
- Quantity I: The cash price of a notebook is Rs. 100 but is can also be purchased on 11 monthly equal instalments of Rs. 10 each. Find rate of S.I.? Quantity II: Cost price of 12 articles is equal to selling price of 9 articles while the discount given on 10 articles is equal to the profit earn on 5 articles. Find the difference between profit %and discount %?
- In the question, two quantities I and II are given. You have to solve both the quantities to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. Quantity I : A boat running downstream covers a distance of 20 km in 4 hrs, while for covering the same distance upstream it takes 5 hrs. Speed of boat in still water. (in kmph) Quantity II : A boat can cover a distance of 48 km in 3 hrs in still water. If speed of current is 4kmph, then the difference between time of boat to cover the same distance upstream (in hrs)
- Quantity I: What will be the difference between compound interest and simple interest for 4 years on a principal of Rs.20480 at the rate of 25% per annum? Quantity II: Rs 8079

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