Question : Ritika purchased 'x' kg wheat at Rs. 30/kg and sold 8 kg of this at Rs. 'x' per kg and remaining at Rs. 45/kg. The overall profit percentage earned is 10%, then what quantity of wheat does Ritika sell at Rs. 45/kg?
Option 1: 18 kg
Option 2: 16 kg
Option 3: 10 kg
Option 4: 14 kg
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 10 kg
Solution :
Given:
Cost price of wheat = Rs. 30 per kg
Selling price of 8 kg = Rs. $x$ per kg
The selling price of the remaining wheat = Rs. 45 per kg
Overall profit percentage = 10%
Total cost price = CP = Rs. $30 \times x = 30x$
Profit must be 10%
So, SP = $30x \times \frac{110}{100} = 33x$
For the first 8 kg of wheat, the selling price is Rs. $x$ per kg.
Selling price of 8 kg = $8 \times x = 8x$
For the remaining wheat, the selling price is Rs. 45 per kg.
Remaining quantity = $(x - 8)$ kg
According to the question
⇒ $33x = 8x + (x - 8)45$
⇒ $33x = 8x + 45x - 8 \times 45$
⇒ $x = 18$ kg
Quantity of wheat sold at Rs. 45 per kg = $(x - 8) = 18 - 8 = 10$ kg
Therefore, Ritika sold 10 kg of wheat at Rs. 45 per kg.
Hence, the correct answer is 10 kg.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CHSL
