Question

Math Question:
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Q.1 By selling an article at 80% of it's marked price, there is a loss of 12% . What will be the percentage profit, if the same article is sold at 95% of it's marked price ?

[Hint : Let the Marked price be x. Find S.P . Loss is 12% . Supposing CP Rs. 100 . Hence, find the C.P . Find profit when the article is sold at 95% of M.P . Hence, find percentage Profit ]
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Q.2 ABC Electronic Enterprises declared 8% discount on TV set having Marked Price Rs. 36,000. After some time a further discount of 5% was announced. What is the net selling price of TV set ?

[Note : This type of discount is known as successive discount. Find S.P on the first discount . On this S.P the second discount is given. ]

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Solve the Both 2 questions ☺

[These questions are from chapter : Discount and Commission ]

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Best Luck☺​

Answer 1

Q.1

Selling Price ⇒ 80% of Marked Price

⇒ 88% of Cost Price (12% Loss)

Marked Price  ⇒ 1.1 Cost Price

Selling Price ⇒ 95% of Marked Price

⇒ 95% of 1.1 Cost Price = 1.045 Cost Price

Profit ⇒ Selling Price - Cost Price

⇒ 1.045 Cost Price - Cost Price

⇒ 0.045 Cost Price or 4.5%

∴ The answer is ⇒  4.5%

$\rule{200}{1}$

Q.2

Price of TV ⇒ ₹ 36000

After 8% discount, the price would be ⇒

$\frac{8}{100} \times 36000$

$8\times 360$

$2880$

Price would be ⇒

$36000-2880$

$35120$

Now, according to the question, 5% discount added was added.

Price would be ⇒

$\frac{95}{100} \times 35120$

$33364$

∴ The net selling price of TV set would be ₹33364.

Answer 2

Answer:

$\huge{\underline{\mathtt{\red{❥A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$When the article is sold at 80% of its marked price, it is sold at 0.8S. Selling the article at 0.8S results in a loss of 12% of the cost. Therefore, the loss incurred when selling at 0.8S = 12% of 100 = $12.