Rs. 8400 is divided among A, B, C and D in such a way that the shares

1.	Rs. 8400 is divided among A, B, C and D in such a way that the shares of A and B, B and C, and C and D are in the ratios of 2:3, 4:5 and 6:7 respectively. The share of A is(a) Rs. 1280 (b) Rs. 8400 (c) Rs. 8210 (d) Rs. 1320
Answer» The correct option is (a) Rs. 1280 Explanation: Now share of A and B is 2:3 So options B and C are not possible. Consider Option (a) i.e. Share of A = Rs. 1280 Share of A/ Share of B = 2/3 Share of B = 3/2 x A's share = 3/2 x 1280 = Rs. 1920 Similarly B:C = 4:5 Share of C = 5/4 x B's Share = 5/4 x 1920 = Rs. 2400 Similarly C:D = 6:7 Share of D = 7/6 x C's Share = 7/6 x 2400 = Rs. 2800 Total = Rs. 8400 Total is Rs. 8400. So answer is Option (a) i.e. Rs. 1280.

Rs. 8400 is divided among A, B, C and D in such a way that the shares of A and B, B and C, and C and D are in the ratios of 2:3, 4:5 and 6:7 respectively. The share of A is(a) Rs. 1280 (b) Rs. 8400 (c) Rs. 8210 (d) Rs. 1320

Answer»

The correct option is (a) Rs. 1280

Explanation:

Now share of A and B is 2:3

So options B and C are not possible.

Consider

Option (a) i.e.

Share of A = Rs. 1280

Share of A/ Share of B = 2/3

Share of B = 3/2 x A's share = 3/2 x 1280 = Rs. 1920

Similarly B:C = 4:5

Share of C = 5/4 x B's Share = 5/4 x 1920 = Rs. 2400

Similarly C:D = 6:7

Share of D = 7/6 x C's Share = 7/6 x 2400 = Rs. 2800

Total = Rs. 8400

Total is Rs. 8400. So answer is Option (a) i.e. Rs. 1280.

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