Question : Rs. 600 is divided among A, B and C, Rs. 40 more than $\frac{2}{5}$th of A's share, Rs. 20 more than$\frac{2}{7}$th of B's share and Rs. 10 more than $\frac{9}{17}$th C's share are all equal. Then A's share is:
Option 1: Rs. 150
Option 2: Rs. 170
Option 3: Rs. 280
Option 4: Rs. 140
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: Rs. 150
Solution : According to the question $\frac{2A}{5}+40 = \frac{2B}{7}+20 = \frac{9C}{17}+10 = k$ $\therefore A =\frac{5(k-40)}{2}, B =\frac{7(k-20)}{2}, C = \frac{17(k-10)}{9}$ According to the question, $\frac{5(k - 40)}{2} +\frac{7(k - 20)}{2} +\frac{17(k - 10)}{9} = 600$ ⇒ $45k-1800+63k-1260+34k-340 = 10800$ ⇒ $142k = 14200$ ∴ $k = \frac{14200}{142} = 100$ Hence, A's share = $\frac{5×(100-40)}{2}$ = Rs. 150 Hence, the correct answer is Rs. 150.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : Rs. 600 is divided among A, B, and C. Rs. 40 more than $\frac{2}{5}$th of A's share, Rs. 20 more than $\frac{2}{7}$th of B's share and Rs. 10 more than $\frac{9}{17}$th C's share are all equal. Then A's share is:
Question : Rs. 1200 are divided among X, Y, and Z such that Y's share is Rs. 200 more than X's share. Y's share is also Rs. 200 less than Z's share. The share of Y is:
Question : Divide Rs. 14136 among A, B, and C such that 2 times A's share, 3 times B's share and 5 times C's share are all equal. What is the share of C?
Question : If Rs.1980 is divided among A, B, and C, so that half of A's part, one-third of B's part, and one-sixth of C's part are equal, then B's part is:
Question : If Rs. 1980 is divided among A, B, and C so that half of A's part, one-third of B's part, and one-sixth of C's part are equal, then B's part is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile