Home
Class 7
MATHS
Ram mixes 15 kg of sugar purchased at th...

Ram mixes 15 kg of sugar purchased at the rate of Rs. 8.00 per kg with 25 kg of sugar purchased at the rate of Rs. 10.00 per kg. At what rate per kg should Ram sell the mixture to get a profit of 3 per kg ?

A

Rs. 12.25

B

Rs. 11.25

C

Rs. 13.25

D

Rs. 14.25

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, let's break it down: ### Step 1: Calculate the total cost of the sugar purchased. - Ram buys 15 kg of sugar at Rs. 8.00 per kg. - Ram also buys 25 kg of sugar at Rs. 10.00 per kg. **Calculation:** - Cost of 15 kg of sugar = 15 kg × Rs. 8.00/kg = Rs. 120.00 - Cost of 25 kg of sugar = 25 kg × Rs. 10.00/kg = Rs. 250.00 **Total Cost:** Total cost = Cost of 15 kg + Cost of 25 kg Total cost = Rs. 120.00 + Rs. 250.00 = Rs. 370.00 ### Step 2: Calculate the total weight of the sugar mixture. - Total weight = Weight of first sugar + Weight of second sugar - Total weight = 15 kg + 25 kg = 40 kg ### Step 3: Calculate the cost price per kg of the mixture. **Calculation:** Cost price per kg = Total Cost / Total Weight Cost price per kg = Rs. 370.00 / 40 kg = Rs. 9.25/kg ### Step 4: Calculate the selling price per kg to achieve the desired profit. - Ram wants to achieve a profit of Rs. 3.00 per kg. **Calculation:** Selling price per kg = Cost price per kg + Profit per kg Selling price per kg = Rs. 9.25 + Rs. 3.00 = Rs. 12.25/kg ### Final Answer: Ram should sell the mixture at Rs. 12.25 per kg to achieve a profit of Rs. 3 per kg. ---
Promotional Banner

Topper's Solved these Questions

  • PROFIT AND LOSS AND DISCOUNT

    S CHAND IIT JEE FOUNDATION|Exercise SECTION - A (Question Bank - 11(a))|30 Videos

  • PROFIT AND LOSS AND DISCOUNT

    S CHAND IIT JEE FOUNDATION|Exercise SECTION - B (Question Bank - 11(b))|25 Videos

  • POWERS AND ROOTS

    S CHAND IIT JEE FOUNDATION|Exercise UNIT TEST-1|20 Videos

  • RATIO AND PROPORTION

    S CHAND IIT JEE FOUNDATION|Exercise SELF ASSESSMENT SHEET - 15 |10 Videos

Similar Questions

Explore conceptually related problems

A grocer purchased 20 kg of rice at the rate of Rs. 15 per kg and 30 kg of rice at the rate of Rs. 13 per kg. At what price per kg should he sell the mixture to earn 33 (1)/(3) % profit on the cost price?

Sonu buys 40kg of wheat at Rs. 12.50 per kg and 30kg of wheat at Rs. 14 per kg. At what rate per kg should he sell the mixture to gain 5% on the whole?

A grocer purchased 80 kg of sugar at Rs. 13.50 per kg and mixed it with 120 kg sugar at Rs. 16 per kg. At what rate should he sell the mixture to gain 16%?

Kantilal mixes 80 kg. of sugar worth of Rs. 6.75 per kg. with 120 kg. worth of Rs. 8 per kg. At what rate should be sell the mixture to gain 20%?

A grocer purchased 80kg of sugar at Rs.13.50 per kg and mixed it with 120kg sugar at Rs.16 per kg. At what rate should he sell the mixture to gain 16%?

A grocer purchased 65 kg of rice ₹ 16 per kg and mixed it with 85 kg of rice at ₹ 12 per kg. At what rate per kg should he sell the mixture approximately to gain 20% ?

200 kg of sugar was purchased at the rate of Rs 15 per kg and sold at a profit of 5%. Compute the profit and the selling price per kg.

A grocer purchased 80 kg of sugar at ₹ 13.50 per kg and mixed it with 120 kg sugar at t 16 per kg. At what rate should he sell the mixture to gain 16%?