A man purchased sugar worth of Rs. 400 he sold (3 / 4)th

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A man purchased sugar worth of Rs. 400 he sold (3 / 4)th at a loss of 10% and the remainder at a gain of 10%. on the whole, he gets ?

1. A loss of 5%
2. A gain of 5¹/₁₉
3. A loss of 5¹/₁₉
4. A loss of 5⁵/₁₉

Correct Option: A

S.P. = 90% of (3/4 of Rs. 400) + 110% of (1/4 of Rs. 400)
= Rs. (90/100 x 3/4 x 400) + Rs. (110/100 x 1/4 x 400)
= Rs. (270 + 110) = Rs. 380
∴ loss% = (20/400 x 100)% = 5%