Question
The average of the areas of 2 similar triangles is 706.5
m2 whose perimeters are in the ratio of 6: 11. What is 25% of the difference (in m2) in areas of both triangles?Solution
The ratio of the areas of the similar triangles is (6/11)2 =36/121 Given the average area is 706.5 m², the total area is 1413 m². Let the areas be A₁ = 36x and A2 = 121x. ATQ- 36x+121x =1413 157x =1413 x =1413/157 Solving, x = 9 m². Thus, A₁ = 324 m² and A2 = 1089 m². Difference = 765 m². 30% of the difference =765×30/100= 229.5 m². So, the answer is 229.5 m².
Axe and Wye purchases the Bikes at same price and later on Zed purchase both the bikes at the same price of Rs. 72000. But the profit % of Axe was A% wh...
Mr. Christian bought 75 shirts for Rs. 75 each. He sold 60 of them at a loss of 10%. He wants to gain 20% on the whole. Then find his gain percent on th...
A dealer priced a table costing Rs 2500 at 20% above its cost. He sold it for Rs 2700 after giving a discount of X%. Find the discount percent X.
Sunita bought a bicycle and sold it at a profit of 30%. Had she bought it for Rs. 600 less and sold it for Rs. 660 more, she would have earned a profit...
Article 'Q' is sold at a profit of 20% which earns a profit of Rs. 400. If Article 'Q' is marked 50% above its cost price and then sold after offering t...
Mina sold 25 lamps at a profit of 20%. If she had sold all the lamps for Rs. 2500 more, her overall profit would have been 40%. What is the selling pric...
The cost of a taxi ride from Ahmedabad to Surat is Rs. 600 per person. The bus fare for one person on the same route is one-seventh of the total taxi fa...
A shopkeeper marks his goods 40% above the cost price and then offers successive discounts of 10% and 15% on the marked price. What is his overall profi...
A trader marked an article 50% above its cost price. If he sold the article at 20% discount, find the gain percentage of the trad...
Cost of 4 pens, 6 note books and 9 files is Rs 305. Cost of 3 pens, 4 notebooks and 2 files is Rs 145. What is the cost (in Rs) of 5 pens, 8 notebooks ...
Relevant for Exams:
