Question
If AB = x + 3, BC = 2x and AC = 4x − 5, then for what
value of ‘x’ does B lie on AC?Solution
To find the value of 'x' such that point B lies on line AC, the sum of the lengths AB and BC must equal the length of AC. Given: 
For B to lie on AC, we have the equation:
AB+BC = AC Substitute the given expressions: (x+3)+2x = 4x − 5 Simplify: 3x+3 = 4x − 5 Subtract 3x from both sides = 3 = x − 5 Add 5 to both sides = x = 8
The cost price of an article is 30% less than its selling price. For how much profit was it sold? (Round off up to 2 decimal plac...
A shopkeeper sold an article after giving a discount of 20% and made a profit of Rs.40. Find the difference between the marked price and selling price o...
When an item is sold for Rs. 800, the profit is 10% more than when it's sold for Rs. 780. To achieve a 60% profit, determine the selling price.
Raghav sold two items, 'A' and 'B', each for Rs. 2,000. He incurred a 20% loss on item 'A' and earned a 25% profit on item 'B'. Calculate the approximat...
Cost price of an article A is Rs. 400 less than that of B. A and B are marked 40% and 20% above their cost price respectively. A and B are sold after a...
- If the total cost of 9 mangoes and 6 oranges is Rs. 270 and the total cost of 7 mangoes and 4 oranges is Rs. 200, then find the cost of 5 mangoes.
The selling price of y items is equal to the cost price of 720 items. If the profit made is 60%, then find the value of y.
A sold a watch to B at a profit of 20%. B sold it to C at 30% profit. C sold it to D at 10% loss. If B's profit is ₹.80 more than that of A, then D bo...
- Ramesh made a profit of 30% on an article, while Suresh sold the same article for a 22% profit. If Ramesh’s profit was Rs. 54 more than Suresh’s profit...
Profit percentage received on a product when sold for Rs.560 is equal to the percentage loss incurred when the same product is sold for Rs.420. Find the...
Relevant for Exams:
