Ms. Rana goes for shopping to buy a leather coat which costs Rs.735. The rate of sales tax is 5%. She tells the shopkeeper to reduce the price to such an extent that she has to pay Rs.735, inclusive of sales tax. Find the reduction needed at the price of the coat.

Rs. 35

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Rs. 70

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Rs. 45

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Rs 700

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Solution

The correct option is A
Rs. 35

$Let the reduced price of the coat be Rs. x$

$S a l e s t a x = 5 % o f x = (\frac{5}{100}) \times R s . x = R s . \frac{x}{20}$

$A m o u n t p a i d b y M s . R a n a = R s . (x + \frac{x}{20}) = R s . \frac{21 x}{20}$

$\frac{21 x}{20} = 735$ $(g i v e n)$

$x = (\frac{20}{21}) \times 735 = 700$

$R e d u c e d p r i c e o f t h e c o a t = R s . 700$

$H e n c e, r e d u c t i o n n e e d e d = R s . 735 - R s . 700 = R s . 35.$

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Ms. Rana goes for shopping to buy a leather coat which costs Rs.735. The rate of sales tax is 5%. She tells the shopkeeper to reduce the price to such an extent that she has to pay Rs.735, inclusive of sales tax. Find the reduction needed at the price of the coat.

The correct option is A Rs. 35 Let the reduced price of the coat be Rs. x Sales tax=5% of x =(5100)×Rs. x=Rs. x20 Amount paid by Ms. Rana=Rs.(x+x20)=Rs. 21x20 21x20=735 (given) x=(2021)×735=700 Reduced price of the coat=Rs.700 Hence, reduction needed=Rs.735−Rs.700=Rs.35.