Nidhi goes to a shop to buy a bicycle quoted at Rs 2,000. The rate of sales tax is 12 $%$ on it. She asks the shopkeeper for a rebate on the price of the bicycle to such an extent that she has to pay Rs 2,016, inclusive of sales tax. Find the rebate percentage on the price of the bicycle.
[3 MARKS]

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Solution

Formula: 1 Mark
Steps: 1 Mark
Answer: 1 Mark

M.P = Rs x
then, 2016 $= x + 12 % o f x$
$\Rightarrow 2016 = x + \frac{3 x}{25} \Rightarrow 2016 = \frac{28 x}{25} \Rightarrow x = 1800 ∴ R e b a t e = R s 2000 - R s 1800 = R s 200 \Rightarrow R e b a t e % = \frac{200}{2000} \times 100 = 10 %$

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Nidhi goes to a shop to buy a bicycle quoted at Rs 2,000. The rate of sales tax is 12% on it. She asks the shopkeeper for a rebate on the price of the bicycle to such an extent that she has to pay Rs 2,016, inclusive of sales tax. Find the rebate percentage on the price of the bicycle. [3 MARKS]

Formula: 1 Mark Steps: 1 Mark Answer: 1 Mark M.P = Rs x then, 2016 =x+12% of x ⇒2016=x+3x25⇒2016=28x25⇒x=1800∴Rebate=Rs 2000−Rs 1800=Rs 200⇒Rebate %=2002000×100=10%

Nidhi goes to a shop to buy a bicycle quoted at Rs 2,000. The rate of sales tax is 12 $%$ on it. She asks the shopkeeper for a rebate on the price of the bicycle to such an extent that she has to pay Rs 2,016, inclusive of sales tax. Find the rebate percentage on the price of the bicycle.
[3 MARKS]

Formula: 1 Mark
Steps: 1 Mark
Answer: 1 Mark

M.P = Rs x
then, 2016 $= x + 12 % o f x$
$\Rightarrow 2016 = x + \frac{3 x}{25} \Rightarrow 2016 = \frac{28 x}{25} \Rightarrow x = 1800 ∴ R e b a t e = R s 2000 - R s 1800 = R s 200 \Rightarrow R e b a t e % = \frac{200}{2000} \times 100 = 10 %$