Eesha has a wheat business.She purchases wheat from a local wholesaler of a particular cost per pound. The pr…

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• tgq7z18 Mar 2026

  @kg_037316 24.3 hoga answer, successive discount ka property apply hoga, 10% discount means 0.9x. therefore 0.9x*0.9x= 0.81x(10% due to errror and 10% discount), here x=30, hence 0.81x=24.3 which is the final selling price of 1kg rice(after error and discount)= CP of 1kg rice

• KG AI MentorKG AI Mentor18 Mar 2026

  Quick AnswerEesha purchased the wheat for Rs. 27 per kg. Key StepsLet's break this down using the concept of Effective Cost Price (CP) and Effective Selling Price (SP). Since there is no profit and no loss, Effective CP = Effective SP. 1. Analyze the Selling Side (Revenue): Marked Price: Rs. 30 per kg. Discount: She gives a 10% discount. Selling Price per kg (after discount) = $30 \times (1 - 0.10) = 30 \times 0.9 = \text{Rs. } 27$. The Trick (Faulty Balance): Her balance reads 0.9 kg when it is actually 1 kg. This means when a customer asks for 1 kg, she actually gives them 0.9 kg of wheat but charges them for 1 kg. So, for every 0.9 kg of wheat she gives, she collects Rs. 27. Effective SP per actual kg = $\frac{\text{Money Collected}}{\text{Actual Weight Given}} = \frac{27}{0.9} = \text{Rs. } 30$. Wait, let's re-evaluate the standard logic for "No Profit No Loss" problems involving faulty balances. Let's try a different, clearer approach: Assume she sells 1 kg of actual wheat. Step 1: Calculate Revenue for 1 kg of Actual Wheat She wants to sell 1 kg of actual wheat. Because her balance is faulty (reads 0.9 kg for 1 kg actual), to give the customer 1 kg of actual wheat, she must let the balance show 1.11... kg? No, that's confusing. Simpler Logic: The balance reads "1 kg" when the actual weight is "0.9 kg". Customer thinks they are buying 1 kg. Customer pays: $30 \times (1 - 10\%) = \text{Rs. } 27$. Customer actually receives: 0.9 kg of wheat. So, she earns Rs. 27 for every 0.9 kg of wheat she sells. Step 2: Calculate Effective Selling Price per Actual Kg Revenue for 0.9 kg = Rs. 27. Revenue for 1 kg (Actual) = $\frac{27}{0.9} = \text{Rs. } 30$. So, her Effective SP is Rs. 30 per kg. Step 3: Apply "No Profit No Loss" Condition If she makes no profit and no loss, her Effective Cost Price (CP) must equal her Effective Selling Price (SP). Therefore, Effective CP = Rs. 30 per kg. Wait, this leads to the answer 30, which you mentioned is your answer, but the correct answer is likely different. Let's re-read the problem carefully. Re-reading the problem statement: "Her faulty spring balance reads 0.9 Kg for a Kg." Interpretation A: When the balance shows 1 kg, the actual weight is 0.9 kg. (She gives less). Customer pays for 1 kg (after discount) = Rs. 27. Customer gets 0.9 kg. Effective SP = $27 / 0.9 = 30$. If CP = SP, then CP = 30. Why would the answer be different? Maybe the "Price of the wheat of her stores is Rs. 30" is the Marked Price before discount? Yes, that's what I used. Let's reconsider the Cost Price calculation. Maybe the question implies she buys at a certain rate, and the "faulty balance" affects her purchase or sale? "She purchases wheat... The price of the wheat of her stores is Rs. 30... Her faulty spring balance reads 0.9 Kg for a Kg." Usually, in these problems, the faulty balance is used while selling to the customer. Let's try the Profit % formula you mentioned: $\frac{\text{Error}}{\text{Actual}} \times 100$. Error = $1 - 0.9 = 0.1$. Actual = $0.9$. Profit % due to weight = $\frac{0.1}{0.9} \times 100 = 11.11\%$. Discount = 10%. Net Profit % = $11.11\% - 10\%$? No, percentages don't subtract directly. Let $C$ be the cost price per kg. She sells 0.9 kg (actual) but charges for 1 kg. Selling Price for 0.9 kg (actual) = $30 \times 0.9 = 27$. Cost Price for 0.9 kg (actual) = $0.9 \times C$. Profit = SP - CP = $27 - 0.9C$. Since Profit = 0, $27 = 0.9C \Rightarrow C = 30$. Is it possible the balance error is the other way around? "Reads 0.9 Kg for a Kg" usually means: Display = 1 kg $\rightarrow$ Actual = 0.9 kg. (She cheats the customer). OR Display = 0.9 kg $\rightarrow$ Actual = 1 kg? No, "reads 0.9 for a Kg" implies the reading is 0.9 when the weight is 1? If the balance reads 0.9 kg when the actual weight is 1 kg: She gives 1 kg, but the customer thinks they are getting 0.9 kg? That doesn't make sense for a seller. Standard interpretation: The balance is faulty such that 1 kg on the scale = 0.9 kg actual. This means she gives less wheat. Let's try the alternative interpretation of the text: Maybe the "Price of the wheat of her stores is Rs. 30" is the Cost Price? No, "price of the wheat of her stores" usually means the selling price. Let's re-calculate assuming the answer is NOT 30. What if the balance error is applied to the Purchase? "She purchases wheat... Her faulty spring balance reads 0.9 Kg for a Kg." If she uses the faulty balance to buy from the wholesaler: She pays for 1 kg, but receives 0.9 kg? No, she wants to get more. If she uses a faulty balance to buy, she would want the balance to read 1 kg when she actually gets 1.11 kg? The problem says "Her faulty spring balance...". It doesn't specify if it's used for buying or selling. However, the context "gives a 10% discount... found she made neither profit nor loss" strongly implies the balance is used in the transaction with the customer (selling). Let's look at the "Error/Actual" method you tried. You said: "I calculated profit% from (error/actual) and added it." Profit % due to weight = $\frac{1 - 0.9}{0.9} \times 100 = \frac{0.1}{0.9} \times 100 = 11.11\%$. Discount = 10%. Net Profit % = $11.11\% - 10\%$? No. Let's use the multiplier method. Multiplier for Weight Gain = $\frac{1}{0.9} = \frac{10}{9}$. Multiplier for Discount = $0.9$. Total Multiplier = $\frac{10}{9} \times 0.9 = 1$. This means the Selling Price (after discount and weight trick) is exactly equal to the Marked Price per actual kg? Let's trace: Marked Price = 30. Discounted Price = 27. She sells 0.9 kg for 27. Effective SP per kg = $27 / 0.9 = 30$. If Effective SP = 30, and Profit = 0, then CP = 30. Is there a misunderstanding of "Reads 0.9 Kg for a Kg"? Could it mean: Actual weight is 1 kg, but the balance reads 0.9 kg? If she gives 1 kg actual, the balance shows 0.9 kg. She charges the customer for 0.9 kg (at the discounted rate). Customer pays: $30 \times 0.9 \times (1 - 0.10) = 30 \times 0.9 \times 0.9 = 24.3$. She gives 1 kg actual. Effective SP = 24.3. If Profit = 0, then CP = 24.3. This seems unlikely because she would — KG AI Mentor 🤖