Mr.Kiran purchases an article for Rs.5310 which includes 10 percent rebate on the marked price and 18 percent tax(under GST)on the remaining price. Find the marked price of the article.

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Solution

$D e a r s t u d e n t, L e t x b e M P R a t e o f G S T = 18 % P r i c e a f t e r r e b a t e o f a n a r t i c l e = x - 10 % o f x = x - \frac{10 x}{100} = \frac{9 x}{10} A m o u n t o f G S T o n C P o n a r t i c l e = 18 % \times \frac{9 x}{10} T o t a l S P o f a r t i c l e = \frac{9 x}{10} + [18 % \times \frac{9 x}{10}] = \frac{118}{100} \times \frac{9 x}{10} I t i s g i v e n t h a t, S P o f a n a r t i c l e i n c l u d i n g t a x = R s . 5310 S o, \frac{118}{100} \times \frac{9 x}{10} = 5310 x = \frac{5310 \times 100 \times 10}{118 \times 9} = R s . 5000$
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