Question:
A shopkeeper has two varieties of rice A and B. By selling A at ₹75 per kg, he loses 20%; and by selling B at ₹90 per kg, he gains 25%. If he mixes A and B in the ratio 4 : 5 and sells the mixture at ₹110.25 per kg, then his profit percentage is:
A shopkeeper has two varieties of rice A and B. By selling A at ₹75 per kg, he loses 20%; and by selling B at ₹90 per kg, he gains 25%. If he mixes A and B in the ratio 4 : 5 and sells the mixture at ₹110.25 per kg, then his profit percentage is:
Show Hint
Use weighted averages when mixing cost prices in given ratios.
Updated On: Apr 24, 2025
- 30%
- 32%
- 35%
- 40%
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Cost price of A = \( \frac{75}{0.8} = 93.75 \)
Cost price of B = \( \frac{90}{1.25} = 72 \)
Mixture is in ratio 4:5.
Weighted average cost price =
\[
\frac{(4 \times 93.75 + 5 \times 72)}{9} = \frac{375 + 360}{9} = \frac{735}{9} = 81.67
\]
Selling Price = ₹110.25
Profit % =
\[
\frac{110.25 - 81.67}{81.67} \times 100 \approx 35%
\]
Was this answer helpful?
0
0
Top NPAT Quantitative Aptitude Questions
- If \( U = \{ x \ | \ x \in \mathbb{N}, x \leq 10 \} \) is the universal set, and \( A = \{ 1, 3, 5, 7, 9 \} \), \( B = \{ 2, 4, 6, 8, 10 \} \), and \( C = \{ 1, 2, 3, 4 \} \), the number of elements in \( A - (B \cap C) - (B' \cap C') \) where \( B' \) and \( C' \) are the complements of B and C, respectively is:
- A and B are two sets such that \( n(A) = 12 \), \( n(B) = 15 \) and \( n(A \cup B) = 20 \). Then, \( n(B \cap A') - n(A \cap B') = ?
- Let \( A = \{ 1, 2, 5 \} \), \( B = \{ 1, 2, 3, 4 \} \), and \( C = \{ 2, 5, 6 \} \) be the three sets. If \( D = [A \times (B \cap C)] \cap [(A - B) \times C] \), then which of the following is true?
- If \( f(x) = \frac{x-1}{x+1} \), then for \( k>0 \), \( f^{-1} \left( \frac{1}{2k+3} \right) = ?
- Which of the following functions satisfies these two criteria: \( f(0) = 0 \) and \( f(x+1) = 2f(x) + 1 \)?
View More Questions
Top NPAT Percentages Questions
- In a year, out of 160 games to be played, a cricket team wants to win 80% of them. Out of 90 games already played, the success rate is \( 66 \frac{2}{3} \)% . What should be the success rate for the remaining games in order to reach the target?
- In a year, out of 160 games to be played, a cricket team wants to win 80% of them. Out of 90 games already played, the success rate is \( 66 \frac{2}{3} \)% . What should be the success rate for the remaining games in order to reach the target?
- A, B and C have some marbles. The ratio of the number of marbles with A to the number with B is 2:1. Also, the number of marbles with A to the number with C is 1:4. What is the approximate percentage of the total number of marbles that are with C?
- There are four questions based on the table that follows, one of which is asked alongside.
The table shows the data regarding the percentage change in the number of units manufactured by a plant during different months in Year 2.Note: Round up the decimal values obtained (if any) during calculations to the nearest integer value.Month Percentage change (over last month) Percent point change in percentage change (over last month) Jan 10% -20 Feb 18% 8 Mar -5% -20 Apr 6% 8 May 6% -8 Jun 6% -8 Jul 6% -8 - In a school, the number of boys is 40% more than the number of girls. If 60% of the number of boys and 54% of the number of girls are scholarship holders, then the percentage of students in the school who are NOT scholarship holders is:
Top NPAT Questions
- Select the option that best fills in the blank and completes the sentence given below.
\_\_\_\_ our heads are basically similar, differences in size, shape and colour of features produce a variety of appearances. - Select the option that best fills in the blank and completes the sentence given below.
\_\_\_\_ the fact that it was difficult, Dhananjay managed to solve the physics paper. - Select the option that best fills in the blank and completes the sentence given below.
The boys were bored because they had__ to do in the art class. - Select the option that best fills in the blank and completes the sentence given below.
\_\_\_\_ of the actors was paid a hefty amount to perform at the awards function. - Select the option that best gives the meaning of the word/phrase in bold.
Watercolours can be applied undiluted to create a broken-colour effect.
View More Questions