Question : A sum (in INR) is distributed between A, B, and C in the ratio 9 : 6 : 11. If A gives INR 500 from his share to C, the ratio of shares of A, B, and C becomes 4 : 3 : 6. What is the sum of shares (in INR) of B and C, in the beginning?
Option 1: INR 8,500
Option 2: INR 9,100
Option 3: INR 7,800
Option 4: INR 7,500
Correct Answer: INR 8,500
Solution : Given: A sum (in INR) is distributed between A, B, and C in the ratio 9 : 6 : 11. Let the share of A, B and C be $9x,6x$ and $11x$. A gives INR 500 from his share to C, and the ratio of shares of A, B, and C becomes 4 : 3 : 6. According to the question, $\frac{9x-500}{11x+500}=\frac{4}{6}$ ⇒ $\frac{9x-500}{11x+500}=\frac{2}{3}$ ⇒ $27x-1500=22x+1000$ ⇒ $27x-22x=1000+1500$ ⇒ $5x=2500$ ⇒ $x=$ INR 500 In the beginning, the sum of shares (in INR) of B and C $=6x+11x=17x$ $=17\times 500=$ INR 8,500 Hence, the correct answer is INR 8,500.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : After deducting 20% from a certain sum, and then 10% from the remainder, there is INR 7,200 left. Find the original sum.
Question : A sum of INR 12,000 is divided between A, B, C and D such that the ratio of shares of A and B is 8 : 9, that of B and C is 2 : 3 and that of C and D is 9 : 13. What is the difference between the shares of B and D?
Question : A sum of money becomes INR 35,680 after 3 years and INR 53,520 after 6 years at a certain rate percentage p.a., interest compounded yearly. What is the compound interest on the same sum in the first case? (Your answer should be nearest to an integer)
Question : The compound interest on a certain sum invested for 2 years at 10% per annum is INR 1,522.50, the interest being compounded yearly. The sum is:
Question : A sum of INR 8,200 was divided among A, B, and C in such a way that A has INR 500 more than B, and C has INR 300 more than A. How much was A's share (in INR)?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile