The marked price of a cooker is same at four shops I, II, III and IV. Shop I allows two successive discounts of 66% and 88%, shop II allows successive discounts of 78% and 70%, shop III allows successive discounts of 89% and 35% and shop IV allows successive discounts of 27%, 65% and 59% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?
I
Remaining price fraction after successive discounts \(d_1\%,d_2\%\) is \((1-d_1/100)(1-d_2/100)\).
Shop I: \(0.34 \times 0.12 = 0.0408\) (4.08%). Shop II: \(0.22 \times 0.30 = 0.066\) (6.6%). Shop III: \(0.11 \times 0.65 = 0.0715\) (7.15%). Shop IV: \(0.73 \times 0.35 \times 0.41 \approx 0.1048\) (10.48%).
Shop I leaves the smallest fraction of the marked price, so it sells at the lowest price.
Hence, this is the correct answer.(Shop I) is correct.
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Important Questions from Successive Selling
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- A dealer buys two articles X and Y for ₹1,000 each. He marks each of them at the same price. He sells X by giving two successive discounts of 15% and 30% and still earns ₹337 as profit. If he sells Y at a single discount of 49%, then what is the profit percentage on Y?
- Find the single equivalent discount (rounded off to two decimal places) for successive discounts of 18%, 6% and 25%.
A shopkeeper marks the price of three identical articles, first, 60% above the Cost Price; second, 45% above the Cost Price and the third, 40% above the cost price. If he gives discount of 25% on first article, 20% on the second article and 15% on the third one, what is his overall profit percentage?
A dealer bought a six-seater Dining Table after getting successive discounts of 15% and 12%. Thereafter, he spent 10% on transport, etc. and finally sold it for Rs. 24,169.75, thereby earning a profit of 25%. What was the marked price of the Dining Table?
