Question

'P' sells a product to 'Q' at a profit of 'y%' . Then, 'Q' sells it to 'R' at a loss of (y + 10)% . 'R' pays Rs. 360 to 'Q', and 'P' had originally bought the product for Rs. 480 . If 'P' had instead sold it to 'S' at a profit of (y/5)% , find the amount paid by 'S' to 'P'.

Q: Answer-'P' sells a product to 'Q' at a profit of 'y%'. Then, 'Q' sells it to 'R' at a loss of (y + 10)%. 'R...

ATQ, 480 100 y100 100 - y - 10100 360 100 y100 90 - y100 0.75 9000 100y - 90y - y 7500 y - 10y - 1500 0 y - 50y 40y - 1500 0 yy - 50 40y - 50 0 y - 50y 40 0 y 50 or -40 Profit cant be negative y 50 Now, profit for selling to S y5 10 Required amount 480 1.10 Rs. 528

A Rs.700 Correct Incorrect

B Rs.650 Correct Incorrect

C Rs.528 Correct Incorrect

D Rs.500 Correct Incorrect

E None of these Correct Incorrect

Detailed Solution

ATQ, 480 × [(100 + y)/100] × [(100 - y - 10)/100] = 360 [(100 + y)/100] × [(90 - y)/100] = 0.75 9000 + 100y - 90y - y² = 7500 y² - 10y - 1500 = 0 y² - 50y + 40y - 1500 = 0 y(y - 50) + 40(y - 50) = 0 (y - 50)(y + 40) = 0 y = 50 or -40 Profit can't be negative ⇒ y = 50 Now, profit for selling to 'S' = y/5 = 10% Required amount = 480 × 1.10 = Rs. 528

Practice Next

More Profit and loss Questions

A shopkeeper marked an article 60% above the cost price and sold it after giving a discount of 20%. Had he sold the article without giving any discount, th...

The marked price of an article is Rs 1500. A shopkeeper sells it by giving 20% discount on its marked price. If the cost price of the article is Rs 991. th...

A shopkeeper sells article A at a profit of 25% and article B at a loss of 10% . The cost price of A is three-fifths of the cost price of B . I...

John went to purchase a Bike, the shopkeeper told him to pay 30% GST, if he asked the bill. John manages to get the discount of 10% on the actual selling p...

A retailer purchased a product for Rs. 'y'. He increased its price by Rs. 2,500 above the cost price and then sold it after applying two successive discoun...

A seller sold an item at a loss of 22%. If he had sold it for Rs. 2,200 more, then he would have earned a profit of 18%. Find the cost price of the item.

Article ‘P’, if sold at a profit of 40% earns a profit of Rs. 400. If article ‘P’ is marked 40% above its cost price and then sold after offering two succe...

The selling price of an item when sold at a profit of 15% is Rs. 90 more than its selling price when it is sold at a loss of 30%. Find the cost price of th...

A man finds that the cost price of 4950 articles is same as the selling price of 4500 articles. Find his profit/loss%?

A person bought an article and sold it at a loss of 20%. If he had bought it at 10% loss and sold it for 74 more, he would have gained 30%. Find the profit...

Relevant for Exams:

SBI PO

Hey! Ask a query

Please enter email id The email must be a valid email address.

Please enter Mobile Number Please enter valid Mobile Number

Please enter your Doubt

Thank You for posting your query. Please check your email for further guidance.

Please Register/Login

Login or create an account to download this question.

Login Register

🎓

Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper

200 Questions with Detailed Solutions

Section-wise Coverage (GA, English, Quant & Reasoning)

Download Now 100% Free PDF