Question
The average cost price of two items is Rs. 750. The
first item is sold at a 15% profit, and the second item is sold at a 20% loss. Given that the combined selling price of both items is Rs. 1480, what is the difference in their individual cost prices?Solution
Let cost piece of on article is Rs. x Cost price of second article = Rs. β1500 β xβ According to question; 1.15 Γ x + 0.80 Γ (1500 β x) = 1480 Or, 1.15x β 0.8x = 1480 β 1200 Or, 0.35x = 280 Or, x = 800 Cost price of another article = 1500 β 800 = Rs. 700 Desired difference = 800 β 700 = Rs. 100 Hence, option b.
- Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12β3 cm.
In β³ ABC, D and E are the points on sides AB and AC. respectively and DE | BC. BC = 8 cm and DE = 5 cm. If the area of β³ ADE = 45 cm², then wha...
If in triangle ABC, If side AB=6β 3, AC=12 and BC=6, then angle B equals:
The parallel sides of a trapezium and its height are in an arithmetic progression with a common difference of 4. If the height is the highest term and t...
If the angles of a triangle are in the ratio of 2:5:8, then find the value of the biggest angle.
- What is the average of the first eight triangular numbers?
ABC is an equilateral triangle with sides of 24cm. Find the difference between its in-radius and circum-radius.
- Determine the inradius of an equilateral triangle if its height is 6β3 cm.
The corresponding medians of two similar triangles are 12 cm and 15 cm. If the area of the first triangle is 288 cm, then find the area of the second tr...
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.