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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: Raj purchased 12 storybooks at rate of Rs. 250 each and sold at the rate of Rs. 325 each. What is profit percentage had? Quantity B: A mobile of price Rs. 36000 available at Rs. 30780 after two discounts. If second discount is 5%, what is first discount percent?

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: Raj purchased 12 storybooks at rate of Rs. 250 each and sold at the rate of Rs. 325 each. What is profit percentage had? Quantity B: A mobile of price Rs. 36000 available at Rs. 30780 after two discounts. If second discount is 5%, what is first discount percent? Correct Answer Quantity A > Quantity B

Quantity A:

Total cost price of 12 storybooks = 12 × 250 = 3000

Total selling price of 12 storybooks = 12 × 325 = 3900

Total profit he had =

= Selling price – cost price

= 3900 – 3000

= 900

Profit percentage = (total profit/ cost price) × 100

= (900/3000) × 100

= 30%

Raj had 30% profit in this transaction.

Quantity B:

Given,

Mobile price = Rs. 36000

After discount, mobile price = Rs. 30780

There are two discounts offered on mobile, second discount is of 5%.

Let the first discount offered on mobile be x%.

Then,

Price of mobile after first discount = 36000 – 36000 × (x/100) = 36000 – 360x

Price of mobile after second discount –

30780 = (36000 – 360x) – (36000 – 360x) × (5/100)

30780 = (36000 – 360x) – (1800 – 18x)

30780 = 34200 – 342x

342x = 34200 – 30780

342x = 3420

x = 3420/342

x = 10%

First discount offered on mobile is 10%.

From above solution,

Relation between Quantity A > Quantity B is established.

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