Question

1 point
Price of an article is
increased by 3%, had it been Rs. 16
less, price would have decreased
by 1% of the original price. Find
the original price of the article
Rs. 400
Rs. 500
Rs. 800
Rs. 1600​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Price of an article is increased by 3%, had it been Rs. 16 less, price would have decreased by 1% of the original price. Find the original price of the article

• Rs. 400

• Rs. 500

• Rs. 800

• Rs. 1600

EVALUATION

Let price of the article = Rs P

Now if Price of the article is increased by 3% then the price becomes

$\displaystyle \sf{ =Rs. \: \frac{103P}{100} }$

If the price decreased by 1% of the original price then the price becomes

$\displaystyle \sf{ =Rs. \: \frac{99P}{100} }$

So by the given condition

$\displaystyle \sf{\frac{103P}{100} - 16 = \frac{99P}{100} }$

$\displaystyle \sf{ \implies \: \frac{103P}{100} - \frac{99P}{100} = 16 }$

$\displaystyle \sf{ \implies \: \frac{103P -99P }{100} = 16 }$

$\displaystyle \sf{ \implies \: \frac{4P }{100} = 16 }$

$\displaystyle \sf{ \implies \: 4P= 1600 }$

$\displaystyle \sf{ \implies \: P=400 }$

So the price of the article = Rs 400

FINAL ANSWER

Hence the correct option is Rs. 400

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. THE COST PRICE OF A PEN IS RS 250, IT WAS SOLD AT A LOSS OF 15%.THEN THE SELLING PRICE OF THE PEN IS

https://brainly.in/question/33206866

2. By selling an article for Rs 50 a shopkeeper gains Rs 10.His gain percent is_______

https://brainly.in/question/2176449