Revisit
Auro, Bosco, Cruize and Diana purchase an office for Rs. 1,12,00,000. The share of Auro,
Cruize and Diana is 366.66% that of Bosco. The share of Bosco, Cruize and Diana is 460%
that of Auro. Cruize's share is 40% that of Auro, Bosco and Diana. Find the difference between
the shares of Bosco and Diana.
Answers
Given :- Auro, Bosco, Cruize and Diana purchase an office for Rs. 1,12,00,000. The share of Auro, Cruize and Diana is 366.66% that of Bosco. The share of Bosco, Cruize and Diana is 460% that of Auro. Cruize's share is 40% that of Auro, Bosco and Diana. Find the sum of the shares of Bosco and Diana ?
Solution :-
Let share of Auro is Rs.A , Bosco is Rs.B Cruize is Rs.C and Diana is Rs.D .
so,
→ A + B + C + D = 1,12,00,000 -------- Eqn.(1)
we know that,
- 366.66% = 366(2/3)% = (1100/3) = (11/3)
- 460% = (460/100) = (23/5)
- 40% = (2/5)
so,
→ (A + C + D) = (11/3)B
→ 3A + 3C + 3D = 11B ----- Eqn.(2)
and,
→ (B + C + D) = (23/5)A
→ 5B + 5C + 5D = 23A ----- Eqn.(3)
also,
→ C = (2/5)(A + B + D)
→ 5C = 2A + 2B + 2D ------- Eqn.(4)
putting value of Eqn.(4) in Eqn.(3)
→ 5B + 5D + 2A + 2B + 2D = 23A
→ 7B + 7D = 23A - 2A
→ 7(B + D) = 21A
→ B + D = 3A
so,
→ 5C = 2A + 2(B + D)
→ 5C = 2A + 2*3A
→ 5C = 8A
→ C = (8A/5)
putting these values in Eqn.(1)
→ A + 3A + (8A/5) = 1,12,00,000
→ (20A + 8A)/5 = 11200000
→ 28A = 11200000 * 5
→ A = Rs.2000000 .
therefore,
→ C = (8A/5) = (2000000*8)/5 = Rs.3200000 .
→ B + D = 3A = 3 * 2000000 = Rs.6000000 (Ans.)
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