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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities…

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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Quantity A: Seema had a loss when she sold a dress for Rs. 1500. If it is sold for Rs. 2400 then there would be a profit which is 80% of loss. Find the cost price of a dress.
Quantity B: Raj bought a cycle with additional 2% discount on the reduced price, after 5% discount on showroom price. The showroom price of cycle is Rs. 4500. At what price Raj purchased the cycle?
  • AQuantity A > Quantity B
  • BQuantity A < Quantity B
  • CQuantity A ≥ Quantity B
  • DQuantity A ≤ Quantity B
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CCommunity
Quantity A:

Let the cost price of Dress be Rs.a.

If selling price is Rs. 1500 then it would have loss.

Loss = cost price – selling price

Loss = a – 1500

But, if selling price is Rs. 2400 then it would have profit.

Profit = selling price – cost price

Profit = 2400 – a

Given,

The profit is 80% of loss

(2400 – a) = (80/100) × (a – 1500)

12000 – 5a = 4a – 6000

9a = 18000

a = 2000

Cost price of Dress is Rs. 2000.

Quantity B:

The showroom price of Cycle = Rs. 4500

Price of cycle after 5% discount =

= 4500 – 4500 × (5/100)

= 4275

Raj get additional 2% discount on price after 5% discount.

Raj purchased cycle at =

= 4275 – 4275 × (2/100)

= 4189.5

Raj purchased cycle at Rs. 4189.5

From above solution,

Relation between Quantity A < Quantity B is established.