Home
Class 14
MATHS
Two varieties of salt, T and S, costing ...

Two varieties of salt, T and S, costing Rs. 25 and Rs. 35 per kg respectively are mixed in the ratio of 4 : 6. The mixed variety is is sold at Rs. 37 per kg. What is the approximate profit percentage?

A

`20%`

B

`33%`

C

`25%`

D

`38%`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we first need to determine the cost of the mixed variety of salt and then calculate the profit percentage. ### Step 1: Determine the cost of each variety of salt. - Cost of salt T = Rs. 25 per kg - Cost of salt S = Rs. 35 per kg ### Step 2: Determine the ratio of the two varieties of salt. - The ratio of salt T to salt S is given as 4:6. ### Step 3: Calculate the total weight of the mixture. Let the total weight of the mixture be 10 kg (4 kg of T and 6 kg of S). - Weight of salt T = 4 kg - Weight of salt S = 6 kg ### Step 4: Calculate the cost of each variety in the mixture. - Cost of 4 kg of salt T = 4 kg × Rs. 25/kg = Rs. 100 - Cost of 6 kg of salt S = 6 kg × Rs. 35/kg = Rs. 210 ### Step 5: Calculate the total cost of the mixture. - Total cost = Cost of salt T + Cost of salt S - Total cost = Rs. 100 + Rs. 210 = Rs. 310 ### Step 6: Calculate the cost per kg of the mixture. - Total weight of the mixture = 4 kg + 6 kg = 10 kg - Cost per kg of the mixture = Total cost / Total weight = Rs. 310 / 10 kg = Rs. 31 per kg ### Step 7: Determine the selling price of the mixture. - Selling price of the mixture = Rs. 37 per kg ### Step 8: Calculate the profit. - Profit = Selling price - Cost price - Profit = Rs. 37 - Rs. 31 = Rs. 6 per kg ### Step 9: Calculate the profit percentage. - Profit percentage = (Profit / Cost price) × 100 - Profit percentage = (Rs. 6 / Rs. 31) × 100 ≈ 19.35% ### Step 10: Round off the profit percentage to the nearest whole number. - Approximate profit percentage = 19% ### Final Answer: The approximate profit percentage is **19%**.
Promotional Banner

Similar Questions

Explore conceptually related problems

A company blends two varieties of tea from two different tea gardens, one variety costing Rs. 20 per kg and other Rs. 25 per kg, in the ratio 5 : 4. He sells the blended tea at Rs. 23 per kg. Find his profit per cent :

A trader mixes three varieties of groundnuts costing Rs. 50., Rs. 20 and Rs. 30 per kg in the ratio 2 : 4 : 3 in terms of weight, and sells the mixture of Rs. 33 per kg. What percentage of profit does he make?

A shopkeeper bought three varieties A, B and C of rice in different amounts at the rates of Rs. 34.50, Rs. 28.60 and Rs. 32.40 per kg respectively. In which of the following transactions will he gain maximum? (a) He bought 25 kg of rice of variety C and sold at Z 42 per kg and he bought 30 kg of variety A and sold at 38 per kg. (b) He bought 40 kg of rice of variety B and sold at RS. 37 per kg and he bought 20 kg of variety A and sold at Rs. 40 per kg. (c) He bought 20 kg of rice of varieties A and C each and sold at Rs. 38 and Rs. 36 per kg respectively. (d) He bought 30 kg of rice of variety A and sold at Rs. 37 per kg and he bought 20 kg of variety B and sold at Rs. 33 per kg. (e) He bought 20 kg of rice of variety B and sold at Z 40 per kg and he bought Rs. 40 kg of variety C and sold at Rs. 38 per kg.

A person blends two varieties of tea-one costing Rs.160 per kg and the other costing Rs.200 per kg in the ratio 5:4. He sells the blended variety at Rs.192 per kg.His profit percent is a.8 b.9 c.10 d.12

Two lots of onions with equal quantity, one costing Rs 10 per kg and the other costing Rs 15 per kg, are mixed together and whole lot is sold at Rs 15 per kg. What is the profit or loss?

A producer of tea blends two varieties of tea from tea gardens one costing Rs18 per kg and another f 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 21 per kg, then his gain percentage is

Tea worth Rs 126 per kg and Rs 135 per kg are mixed with a third variety in the ratio 1: 1: 2 . If the mixture is worth Rs 153 per kg, the prices of the third variety per kg will be