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A jacket is marked at ₹12,000. Store A offers two successive discounts of 15% and 10%. Store B offers two successive discounts of 10% and 15%. A customer wants to know which store provides a better deal and by how much?

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
Both stores A and B offer the same price

Store A Discount Calculation

The jacket is marked at a price (MP) of ₹12,000.

Store A offers two successive discounts: 15% and 10%.

Calculate the price after the first discount (15%): $12000 \times (1 - \frac{15}{100}) = 12000 \times (1 - 0.15) = 12000 \times 0.85 = 10200$

Calculate the price after the second discount (10%) on the reduced price: $10200 \times (1 - \frac{10}{100}) = 10200 \times (1 - 0.10) = 10200 \times 0.90 = 9180$

The final selling price at Store A is ₹9,180.

Store B Discount Calculation

Store B offers two successive discounts: 10% and 15%.

Calculate the price after the first discount (10%): $12000 \times (1 - \frac{10}{100}) = 12000 \times (1 - 0.10) = 12000 \times 0.90 = 10800$

Calculate the price after the second discount (15%) on the reduced price: $10800 \times (1 - \frac{15}{100}) = 10800 \times (1 - 0.15) = 10800 \times 0.85 = 9180$

The final selling price at Store B is ₹9,180.

Comparing Deals

Comparing the final prices from both stores:

  • Store A final price: ₹9,180
  • Store B final price: ₹9,180

Since the final selling price is identical (₹9,180) for both Store A and Store B, neither store offers a better deal. They provide the same price.

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Similar Questions

  1. An article passing through two hands was sold at a total gain of 38% on the original price. If the first person sold it at a gain of 15%, then what was the gain percentage of the second person?
  2. A trader initially marks all his goods 60% above the cost price. He sells half of the goods at a discount of 25% on the marked price. For the remaining half, he revises the marked price to 80% above the cost price and then offers a discount of 30%. Find the overall profit percentage earned by the trader.

  3. A shopkeeper offers a fixed discount of 15% on rice and 100 gm rice free with every purchase of 1.9 kg rice. Find the overall discount percent offered by him on rice.

  4. The original price of a refrigerator was $1,500. During a clearance sale, it was initially discounted by 30%, followed by an additional 10% discount on the reduced price. What is the total percentage discount applied to the refrigerator?

  5. An article marked at ₹1,250 is sold at two successive discounts such that the selling price becomes ₹900. If the first discount is 20%, what is the second discount?

  6. A product with marked price ₹3,000 is sold with successive discounts of 15% and 25%. What is the final selling price after these two discounts?

  7. The price of an article is first increased by 30% and then decreased by 20%. Due to these successive changes, the final price becomes ₹40 more than the original price. What is the original price of the article?

  8. P sells an item to Q at 25% profit. Q sells the same item to R at 60% loss. If R paid ₹5,166 for the item, then at what price (in ₹) is the item purchased by P?

  9. The marked price of a cooker is the same at four shops I, II, III and IV. Shop I allows two successive discounts of 87% and 37%, shop II allows successive discounts of 81% and 37%, shop III allows successive discounts of 57% and 54% and shop IV allows successive discounts of 91%, 25%, and 59% on the marked price of the cooker. Which shop is selling the cooker at the lowest price?

  10. A shopkeeper cheats to the extent of 8% while buying and selling fruits, by using tampered weights, his total gain in percentage is:

Important Questions from Successive Selling

  1. By selling a watch at Rs. 840 a person loses 4%. Find the gain or loss if he sold it for Rs. 875?

  2. Gaurav bought some articles at 5 for Rs. 6 and sold them at 10 for Rs. 11. His loss percentage is:

  3. The increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%. What is the resultant increase in the price?

  4. The selling price of 24 articles is equal to the cost price of 26 articles. If, due to a change in market conditions, the selling price of each article decreases by $10\%$ and the cost price of each article increases by $5\%$, what will be the new gain or loss percentage (correct to two decimal places)?
  5. Anil bought some articles at 6 for Rs. 8 and sold them at 10 for Rs. 12. His percentage loss or gain is:

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