Question
Article 'S' is sold at a profit of 15% which earns a
profit of Rs. 450. If Article 'S' is marked 30% above its cost price and then sold after offering two successive discounts of 10% and Rs. w, respectively, find the value of 'w' such that there is no profit or loss in the transaction.Solution
Let the cost price of Article 'S' = Rs. 100y. Since a 15% profit equals Rs. 450: 15y = 450 y =450/15=30  Therefore, the cost price (CP) of Article 'S' = Rs. 3000 (100 × 30). The market price is 30% above its CP: MP 3000 × 1.3= 3900 The price after the first discount: Price after 1st discount = 3900 × 0.9 =3510 To ensure no profit or loss, the final selling price must equal the CP of Rs. 3000. Thus, the value of w (further discount): =3510-3000 = Rs.510.
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