Goods were bought for Rs. 600 and sold the same day for

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Goods were bought for Rs. 600 and sold the same day for Rs. 650.25 at a credit of 9 month and still there was a gain of 2%. The rate percent is ?

1. 6¹/₃%
2. 8¹/₃%
3. 8%
4. 7⁴³/₆₁%

Correct Option: B

S.P. = (102% of Rs. 600) = Rs. (102/100) x 600 = Rs. 612
∴ P.W. of Rs. 650.25 due 9 months later is Rs. 612.
⇒ Rs. 38.25 is S.I. on Rs. 612 for 9 months
∴ Rate = (100 x 38.25) / (612 x 3/4)% = 8¹/₃%