Question
A and B start a business by investing Rs 24,000 and Rs
36,000 respectively. After 4 months, C joins with an investment of Rs x. At the end of the year, the profits are divided in the ratio 4 : 6 : 5 among A, B and C respectively. Find C’s investment.Solution
Time of investment: A: 12 months B: 12 months C: (12 − 4) = 8 months Capital × time: A: 24,000 × 12 = 2,88,000 B: 36,000 × 12 = 4,32,000 C: x × 8 = 8x Profit ∝ capital × time. Given profit ratio A : B : C = 4 : 6 : 5 Actual ratio from capitals: 2,88,000 : 4,32,000 : 8x First simplify A:B: 2,88,000 : 4,32,000 = 2 : 3 So we can write ratio as: 2 : 3 : (8x / 1,44,000) (divide both A and B by 1,44,000) 2 : 3 : 8x/1,44,000 = 2 : 3 : x/18,000 We are told this is proportional to 4 : 6 : 5 Multiply both sides of 2 : 3 : x/18,000 by 2 to match 4 : 6: 4 : 6 : (2x/18,000) corresponds to 4 : 6 : 5 So: 2x / 18,000 = 5 ⇒ 2x = 5 × 18,000 = 90,000 ⇒ x = 45,000 Answer: C’s investment = Rs 45,000.
A trader blends two types of rice, one costing ₹60 per kg and the other ₹80 per kg, in a 3:5 ratio. He sells the mixture at ₹75 per kg. What is hi...
A shopkeeper earns a profit of 30% by selling an article. What would be the approximate percent change in the profit percent, if he had paid 20% less an...
Two vendors sell an electronic gadget for Rs. 1500, making a profit of 20%. One vendor calculates his profit based on cost price, while the other consid...
A manufacturer produces 500 units of a certain product, with each unit costing him Rs 120 to produce. Out of these, he sells 300 units at a profit of 15...
- Ankit bought a sofa for Rs. (7000 + x). He sold it to Zoya at a profit of 20%. Zoya sold it to Kunal at a profit of 10%, and Kunal sold it to Tanya at a pr...
The ratio between the cost price of gadget E and F is 3:2 respectively. Each of the gadgets was marked 60% above its cost price. If the MRP of gadget E ...
The cost price of a bag of Rice is Rs. 240 more than that of a bag of Sugar. The Rice bag is sold at a loss of 25%, while the Sugar bag is sold at a pro...
A shopkeeper buys 20 articles for Rs 5,000. He sells each article at 25% profit on the cost price. Due to a seasonal sale, he offers a 10% discount on t...
A person bought an article and sold it at a loss of 20%. If he had bought it at 10% loss and sold it for 74 more, he would have gained 30%. Find the pro...
If the average cost price of 15 identical books decreases by Rs. 3 after replacing one book with a new book that costs Rs. 60, what was the original cos...
