Question

The price of an article is ₹8250 which includes Tax at 10% .How much more or less does a customer pay for the article, if the tax on the article is : 1)increases to 15% 2)decrease to 6% 3)increases by 2% 4) decreases by 3% Anyone answers correct ,will be marked as Brainliest ​

Answer 1

Price of an article = 8250

Let Sales tax = y

Let List price = x

Then :

Sales tax = 10y/100 = y/10

Sales Price = y + (y/10) = 11y/10

=> 11y/10 = 8250

=> 11y = 82500

=> 7500

(i) Increases to 15%:

Sale price = 7500 * (115/100)

=> 8625

Increase = 8625 - 8250 = 375

(ii) Decrease to 6%:

Sale price = 7500 * (106/100)

=> 7950

Amount = 8250 - 7950 = 300

(iii) Increase by 2%

Sales tax = 12%

Sales price = 7500 * (112/100)

=> 8400

Amount = 8400 - 8250 = 150

(iv) Decrease by 3%

Sales tax = 7%

Sales price = 7500 * (107/100)

=> 8025

Thus, The customer have to pay less :

=> 8250 - 8025

=> 225

#BeBrainly

Answer 2

$\huge{\text{\underline{Correct\:Question:-}}}$

The price of an article is ₹8250 which includes tax at 10% . How much more or less does a customer pay for the article, if the tax on the article is:-

i) increases to 15%

ii) decrease to 6%

iii) increases by 2%

iv) decreases by 3%

$\huge{\text{\underline{Solution:-}}}$

Let sale price of article = ₹ y

Total price inclusive of sales tax = ₹ 8,250

★ Rate of sales tax = 10%

$\implies$8250 = y + 10% of y

★ Therefore:-

$\implies$y = ₹ 7500

★ According to question:-

(i) New rate of sales tax = 15%

★ New total price

$\implies$₹ 7,500 + 15% of ₹7,500

$\implies$ ₹ 7,500 + ₹ 1,125

$\large{\boxed{\text{= Rs 8,625}}}$

★ More money paid

$\implies$₹ 8,625 - ₹ 8,250

$\large{\boxed{\text{= Rs 375}}}$

(ii) New rate of sales tax = 6%

★ New total price

$\implies$₹ 7,500 + 6% of ₹ 7,500

$\implies$₹ 7,500 + ₹ 450

$\large{\boxed{\text{= Rs 7,950}}}$

Less money paid = ₹ 8,250 - ₹ 7,950

$\large{\boxed{\text{= Rs 300}}}$

(iii) New rate of sales tax

$\implies$(10 + 2)%

$\implies$12%

★ New total price

$\implies$ ₹ 7,500 + 12% of ₹ 7,500

$\implies$₹ 7,500 + ₹ 900

$\large{\boxed{\text{= Rs 8,400}}}$

★ More money paid

$\implies$₹ 8,400 - ₹ 8,250

$\large{\boxed{\text{= Rs 150}}}$

(iv) New rate of sales tax

$\implies$(10 - 3)% = 7%

★ New total price

$\implies$₹ 7,500 + 7% of ₹ 7,500

$\implies$₹ 7,500 + ₹ 525

$\large{\boxed{\text{= Rs 8,025}}}$

★ Less money paid

$\implies$₹ 8,250 - ₹ 8,025

$\large{\boxed{\text{= Rs 225}}}$

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