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

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