To solve this problem, we need to use the concept of alligation, which is a rule that allows us to find the ratio in which two or more ingredients at a given price must be mixed to produce a mixture of a desired price.

Step 1: Calculate the profit per kg for the mixture. The grocer wants to gain 10% by selling the mixture at Rs 68.20 a kg. So, the cost price of the mixture for the grocer is 100% of the price, which is Rs 68.20 / 110 * 100 = Rs 62.

Step 2: Use the rule of alligation. The cost prices of the two varieties of tea are Rs 60 and Rs 65, and the mean price is Rs 62. The rule of alligation states that:

(Costlier quantity price - Mean price) : (Mean price - Cheaper quantity price)

= (65 - 62) : (62 - 60)

= 3 : 2

So, the grocer must mix the two varieties of tea in the ratio 3:2 to gain a profit of 10% by selling the mixture at Rs 68.20 a kg.

Question

To solve this problem, we need to use the concept of alligation, which is a rule that allows us to find the ratio in which two or more ingredients at a given price must be mixed to produce a mixture of a desired price.

Step 1: Calculate the profit per kg for the mixture. The grocer wants to gain 10% by selling the mixture at Rs 68.20 a kg. So, the cost price of the mixture for the grocer is 100% of the price, which is Rs 68.20 / 110 * 100 = Rs 62.

Step 2: Use the rule of alligation. The cost prices of the two varieties of tea are Rs 60 and Rs 65, and the mean price is Rs 62. The rule of alligation states that:

(Costlier quantity price - Mean price) : (Mean price - Cheaper quantity price)

= (65 - 62) : (62 - 60)

= 3 : 2

So, the grocer must mix the two varieties of tea in the ratio 3:2 to gain a profit of 10% by selling the mixture at Rs 68.20 a kg.

Knowee AI · Accepted Answer

To solve this problem, we need to use the concept of alligation, which is a rule that allows us to find the ratio in which two or more ingredients at a given price must be mixed to produce a mixture of a desired price.

Step 1: Calculate the profit per kg for the mixture. The grocer wants to gain 10% by selling the mixture at Rs 68.20 a kg. So, the cost price of the mixture for the grocer is 100% of the price, which is Rs 68.20 / 110 * 100 = Rs 62.

Step 2: Use the rule of alligation. The cost prices of the two varieties of tea are Rs 60 and Rs 65, and the mean price is Rs 62. The rule of alligation states that:

(Costlier quantity price - Mean price) : (Mean price - Cheaper quantity price)

= (65 - 62) : (62 - 60)

= 3 : 2

So, the grocer must mix the two varieties of tea in the ratio 3:2 to gain a profit of 10% by selling the mixture at Rs 68.20 a kg.

In what ratio must a grocer mix two varieties of tea worth Rs 60 a kg and Rs 65 a kg so that by selling the mixture at Rs 68.20 a kg, he may gain 10%.

Question

Solution

Similar Questions

Upgrade your grade with Knowee