A shopkeeper buys an article for Rs.3600 at 10 % discount on the marked price. The shopkeeper increases the marked price of the article by 15 % and then sells it for Rs. 4876 which includes sales tax on the new M.P.Find:
1. Rate of Sales Tax.
2. Profit % made by shopkeeper.

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Solution

$L e t t h e m a r k e d p r i c e o f t h e a r t i c e l b e R s x D i s c o u n t = 10 % H e n c e C . P o f t h e s h o p k e e p e r = R s (x - \frac{10 x}{100}) = R s \frac{9 x}{10} G i v e n \frac{9 x}{10} = 3600 \Rightarrow x = \frac{3600 \times 10}{9} = 4000 ∴ M a r k e d p r i c e = R s 4000 M a r k e d u p p r i c e = R s (4000 + 15 % o f 4000) = R s (4000 + 600) = R s 4600 S . P = R s 4876 ∴ S a l e s t a x = S . P - M a r k e d u p p r i c e = R s (4876 - 4600) = R s 276 i) R a t e o f s a l e s t a x = \frac{S a l e s t a x}{M a r k e d u p p r i c e} \times 100 = \frac{276}{4600} \times 100 = 6 % i i) P r o f i t o f s h o p k e e p e r = S . P (w i t h o u t s a l e s t a x) - C . P = R s (4600 - 3600) = R s 1000$

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A shopkeeper buys an article for Rs.3600 at 10 % discount on the marked price. The shopkeeper increases the marked price of the article by 15 % and then sells it for Rs. 4876 which includes sales tax on the new M.P.Find:1. Rate of Sales Tax.2. Profit % made by shopkeeper.

A shopkeeper buys an article for Rs.3600 at 10 % discount on the marked price. The shopkeeper increases the marked price of the article by 15 % and then sells it for Rs. 4876 which includes sales tax on the new M.P.Find:
1. Rate of Sales Tax.
2. Profit % made by shopkeeper.