Asked by admin @ in Math viewed by 296 People
A sum of money is to be distributed among A, B,
C and D in proportion 9:7: 13 : 5. If C gets2400 more than D, then the sum of shares of Band C is(1) 3000(2) 4000(3) 5000(4) 6000
Answered by admin @
Answer:
(3) 5000
Step-by-step explanation:
Let the money got to A, B, C and D be 9x, 7x, 13x and
5x respectively.
Difference between the shares of C and D: 2400
13x - 5x = 2400
→8x = 2400
{Transposing 8 to RHS}
→x = 2400/8
→x = 300
Share of A: 9x → 9×300 → 2700
Share of B: 7x → 7×300 → 2100
Share of C: 13x → 13×300 → 3900
Share of D: 5x → 5×300 → 1500
Sum of shares of B and C → 2100 + 3900
→ 5000
Hence, answer is (3) 5000.
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