Question
The cost price ratio of a steel chair to a wooden chair
is 7:5. The shopkeeper sold the wooden chair for Rs. 1600, making a profit of 33(1/3)%. If he sells both the steel chair and the wooden chair at a 25% profit and ___% profit, respectively, he would earn a total profit of Rs. ___. A) 25%, Rs.720 B) 10%, Rs.540 C) 20%, Rs.600 D) 16%, Rs.612Solution
Answer: B CP of steel chair=7x CP of wooden chair=5x CP of a wooden chair=1600*100/133.33=1600*3/4=Rs.1200 CP of a steel chair=1200*7x/5x=Rs.1680 From option (A), 1680*25/100+1200*25/100=720 This satisfies the given condition From option (B), 1680*25/100+1200*10/100=540 This satisfies the given condition From option (C), 1680*25/100+1200*20/100=660 This does not satisfy the given condition From option (D), 1680*25/100+1200*16/100=612 This satisfies the given condition
- Find the distance between the parallel sides of a trapezium whose area is 315 cm² and the lengths of the parallel sides are 15 cm and 21 cm respectively.
In triangle ABC, D lies on AB and E lies on AC such that DE || BC. If AD:AB = 2:5 and the area of triangle ABC is 175 sq cm, then the area of triangle A...
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
What is the area of a triangle whose sides are 13 cm, 14 cm and 15 cm?
- Determine the area of a triangle if its base measures 19.2 cm and its corresponding height is 24.5 cm.
A triangle has sides 13 cm, 14 cm, and 15 cm. What is the radius of its incircle?
What is the height of an equilateral triangle with a side length of 16√11 cm?
Find the length of AC, if ΔABC ~ ΔRQP and BC = 21 cm, QP = 9 cm and RP = 15 cm.
- The base of a right pyramid is an equilateral triangle with side 8 cm. If the height of the pyramid is 36√3 cm, determine the volume of the pyramid.
In a ∆ABC, angle BAC = 90°. If BC = 25 cm, then what is the length of the median AD?