7.  A shopkeeper purchased two varieties of rice, 80 KG at Rs. 13.50 per KG and 120 KG at Rs. 16 per KG. The shopkeeper being greedy, mixed the two varieties of rice and sold the mixture at a gain of 16 %. Find the per KG selling price of the mixture.*Rs. 17.40Rs 20Rs 25Rs 11

To solve this problem, we first need to find the total cost price of the two varieties of rice.

The cost price of the first variety of rice is 80 KG * Rs. 13.50 per KG = Rs. 1080. The cost price of the second variety of rice is 120 KG * Rs. 16 per KG = Rs. 1920.

So, the total cost price of the two varieties of rice is Rs. 1080 + Rs. 1920 = Rs. 3000.

The total weight of the two varieties of rice is 80 KG + 120 KG = 200 KG.

So, the cost price per KG of the mixture is Rs. 3000 / 200 KG = Rs. 15.

The shopkeeper sold the mixture at a gain of 16 %. So, the selling price per KG of the mixture is Rs. 15 + 16% of Rs. 15.

16% of Rs. 15 is (16/100) * 15 = Rs. 2.4.

So, the selling price per KG of the mixture is Rs. 15 + Rs. 2.4 = Rs. 17.4.

Therefore, the per KG selling price of the mixture is Rs. 17.4.

To solve this problem, we need to follow these steps:

1. First, calculate the total cost of each variety of rice. For the first variety: 80 KG * Rs. 13.50/KG = Rs. 1080 For the second variety: 120 KG * Rs. 16/KG = Rs. 1920

2. Add these two amounts to find the total cost of the rice: Rs. 1080 + Rs. 1920 = Rs. 3000

3. The shopkeeper sold the mixture at a gain of 16%, so the selling price of the mixture is 116% of the cost price. To find this, multiply the total cost by 1.16: Rs. 3000 * 1.16 = Rs. 3480

4. The total weight of the rice is 80 KG + 120 KG = 200 KG

5. To find the per KG selling price of the mixture, divide the total selling price by the total weight: Rs. 3480 / 200 KG = Rs. 17.40

So, the per KG selling price of the mixture is Rs. 17.40.