Question
A shopkeeper buys a total of 27 items, consisting of tables
and chairs. The cost price ratio of one table to one chair is 20:9. Each table is sold at a 25% profit, while each chair is sold at a 25% loss. If the overall profit percentage on the entire transaction is 7%, how many chairs did the shopkeeper sell?Solution
Let number of tables and chairs sold is 'x' and '27 - x' respectively.
Let CP of 1 table and 1 chair is 20a and 9a respectively.
CP of 'x' tables = x * 20a = 20ax
CP of '27 - x' chairs = (27 - x) * 9a = (243 - 9x)a
SP of 'x' tables = 125% of 20ax = 25ax
SP of '27 - x' chairs = 75% of (243 - 9x)a = (182.25 - 6.75x)a
According to the question:
25ax + (182.25 - 6.75x)a = 107% of [20ax + (243 - 9x)a]
25x + 182.25 - 6.75x = 21.4x + 260.01 - 9.63x
6.48x = 77.76
x = 12
Total chairs sold = 27 - x = 15
- The number of students in class 'A' is 100, and the ratio of the number of girls to boys is 2:3. If the average number of boys in classes A and B is 105, a...
The average of 7 consecutive numbers is 20. The largest of these numbers is
The average age of a class of 20 girls is 16 years. If 4 new girls having average age of 10 years join the class, then the average age of the class beco...
- Average speed of 28 vehicles is 60 km/h. Two new vehicles join with speeds (s + 15) and (s - 5), and the average becomes 62 km/h. Find (s - 45).
- The average age of a group is 40 years. When two members having an average age of 58 years leave the group, the average age drops by 3 years. What was the ...
A batsman averages 28.4 runs in 15 innings. In the next three innings, he scores 45, 89 and 52. Find his new batting average.
The average of 8 consecutive even numbers written in ascending order is 17. What is the average of the last three numbers, 36 and 53 ?
- Given that the average of 21, 38, 62, 53, 35, and 'x' is 48, what is the value of 'x²'?
Average of four numbers is 24. Sum of smallest and largest number is 53. If difference between other two numbers is 1, then find the square of second sm...
The average of 26 numbers is 50. The average of first 14 numbers is 54 and that of the last 14 numbers is 46. If 13th number and 14th numbers are exclu...
