Choose the right answers from the options given for each of the following questions.
If 2600 rupees are divided between Sameer and Smita in the proportion 8 : 5, the share of each is ............... and ............... respectively .
(i) Rs 1500, Rs 1100
(ii) Rs 1300, Rs 900
(iii) Rs 800, Rs 500
(iv) Rs 1600, Rs 1000

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Solution

Rs 2600 are divided among Sameer and Smita.
Ratio = 8 : 5
Total = 8 + 5 = 13
Sameer's share = $\frac{8}{13} \times 2600 = 1600$
Smita's share = $\frac{5}{13} \times 2600 = 1000$
Thus, Sameer's share is Rs 1600 and Smita's share is Rs 1000.
Hence, the correct answer is option (iv).

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Rs 2600 are divided among Sameer and Smita. Ratio = 8 : 5 Total = 8 + 5 = 13 Sameer's share = 813×2600=1600 Smita's share = 513×2600=1000 Thus, Sameer's share is Rs 1600 and Smita's share is Rs 1000. Hence, the correct answer is option (iv).

Rs 2600 are divided among Sameer and Smita.
Ratio = 8 : 5
Total = 8 + 5 = 13
Sameer's share = $\frac{8}{13} \times 2600 = 1600$
Smita's share = $\frac{5}{13} \times 2600 = 1000$
Thus, Sameer's share is Rs 1600 and Smita's share is Rs 1000.
Hence, the correct answer is option (iv).