CUET Mathematics: ArithmeticMixture & Alligation. Free, no login required.

In what ratio must a grocer mix two varieties of sugar A and B worth ₹ 40 per kg and ₹ 50 per kg respectively, so that by selling that mixture at ₹ 46.20 per kg, he may gain 10%?

A trader has two varieties of rice, type A & type B whose selling prices are ₹100 per kg and ₹180 per kg respectively. The possible quantities of type A rice to be mixed with 500 kg of type B rice, such that the selling price of the resulting mixture is ranging between ₹120 per kg to ₹150 per kg, are:

(A) 1400 kg

(B) 200 kg

(C) 1000 kg

(D) 800 kg

Choose the correct answer from the options given below:

In what ratio water be added to dilute honey costing ₹120 per litre so that the resulting syrup would be worth ₹100 per litre?

Pure milk costs ₹80 per litre. A milkman adds water to 24 litres of pure milk and sells the mixture at ₹60 per litre without extra gain or loss. How many litres of water does he add?

In what ratio water must be added to dilute honey costing ₹300 per litre so that the resulted syrup would be worth ₹250 per litre?

In what ratio must a grocer mix two varieties of cumin seeds worth ₹ 60 per kg and ₹ 65 per kg respectively, so that by selling the mixture at ₹ 68.20 per kg, he may gain 10%?

From a drum filled with 48 litres of soya milk, 12 litres of soya milk was taken out and replaced by an equal amount of cow milk. The process was further repeated twice. How much soya milk is left in the drum now?

Arjun invests ₹ 20,000 in two parts, one part at 8% per annum and the other at 12% per annum interest. His yearly average interest rate comes out to be 9% per annum . Then which of the following are true ?

A. He invests ₹ 15,000 @ 8% interest

B. He invests ₹ 10,000 @ 12% interest

C. He invests ₹ 6000 @ 8% interest

D. He invests ₹ 5,000 @ 12% interest

Choose the correct answer from the options given below:

A bottle is full of antiseptic liquid. One third of it is taken out and then an equal amount of water is poured into the bottle to fill it. This process is repeated three times. If the final ratio of antiseptic liquid and water is $\frac{p}{q}$, where $\gcd(p,q)=1$, then $(p+q)$ is

A merchant lent out ₹20000 in two parts, one at 8% and other at 10% interest. The yearly average comes out to be 9.2%. Which of the following are correct ?

(A) Amount lent at 10% is ₹12000.

(B) Amount lent at 8% is ₹12000.

(C) Amount lent at 10% is ₹8000.

(D) Amount lent at 8% is ₹8000.

Choose the correct answer from the options given below:

A shopkeeper has 180 kg of cumin seeds, a part of which he sells at 12% profit. The remaining quantity of cumin seeds is of low quality and that is why he sold it at 6% loss. Overall, he made a profit of 8%. The quantity of cumin seeds sold at 6% loss is:

3 types of rice, A, B and C, are mixed together in the ratio 1 : 1 : 3 respectively. The price of rice A is ₹120 per kg and that of rice B is ₹130 per kg. If the price of the mixture is ₹150 per kg, then the price of rice C is:

The cost of type 1 rice is ₹ 15 per kg and type 2 rice is ₹ 20 per kg. If both type 1 and type 2 are mixed in the ratio 2 : 3, then the price per kg of the mixed variety is:

A container contains 100 litres of acid. From the container, 10 litres acid was taken out and replaced by equal amount of water. This process was repeated further twice, then the amount of acid left in the container is:

A bank lent out ₹ 25,000 in two parts, one at 7% per annum and other at 11% per annum interest. The yearly average comes out to be 9.4%. The amount lent in two parts will be

The cost of Type 1 rice is ₹ 15 per kg and Type 2 rice is ₹ 20 per kg. If both Type 1 and Type 2 are mixed in the ratio 2:3, then the price per kg of the mixed variety is

In what ratio, water must be added to dilute honey costing ₹ 280 per liter so that the resulting syrup would be worth ₹ 210 per liter?

If a container contains 't' units of a particular liquid. Out of which 's' units are taken out and replaced by water. Then after $p-1$ operations, the quantity of pure liquid left in the container is given by:-

The cost of type 1 rice is Rs. 20 per kg and type 2 rice is Rs. 30 per kg. If both Type 1 and Type 2 are mixed in the ratio 2:3, then the price per kg of the mixed variety is

From a container full of milk, 10 liters (l) was drawn and replaced by water. This process is repeated one more time. The ratio of quantity of milk and water left in the container is 4:5. Then the capacity of the container is:

400 g of apple vinegar has 40% apple juice in it. The amount of apple juice, which should be added to make it 60% in apple vinegar, is:

In what ratio must rice at ₹ 60 per kg is mixed with rice at ₹ 90 per kg so that the mixture be worth ₹ 80 per kg?

500 g of jaggery syrup has 30% jaggery in it. The quantity of jaggery that should be added to make it 50% of syrup is:

In what ratio water must be added to dilute honey costing Rs.240 per litre so that resulting syrup would be Rs.180 per litre

The water and milk in two vessels are in the ratio:1:1 and 3:8 respectively. In what ratio, the mixtures in the vessels be mixed to obtain a new mixture containing water and milk in the ratio 4:7?

From a container full of orange juice, 7.5 liters was drawn out and replaced by soda water. This process is repeated 5 more time. The ratio of quantity of orange juice and soda water left in the container is 4:5. How much liter of orange juice did the container originally had? [(Use:0.44) 1/6 = 0.802]

Siyaram has 100 kg apples, he sells a part of it at 8% profit and rest of it at 18% profit. The overall profit he earns is 14%. The quantity he sold at 18% profit is:

In what ratio must pulses at ₹72 per kg be mixed with pulses ₹90 per kg so that the mixture be worth ₹80 per kg?

Three varieties A, B and C of rice are mixed together in the ratio 1:1:3 respectively. The price of rice A is Rs 127 per kg and that of rice B is Rs 135 per kg. If the price of the mixture is Rs. 152 per kg, then the price per kg of rice of type C is:

If water is mixed with milk to gain 20% by selling the mixture at cost price. Then ratio of water to milk in mixture, is: