In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: The marked price of an item is 25% above the cost price of an item. When selling price is Rs. 2750 there is a gain percentage of 10% for the same cost price of an item.If the shopkeeper decides to give a discount of 2%, find the profit percentage. Quantity II: Radha invests Rs. 2500 and Rs. 3000 on simple interest at the rate of interest A% and B% per annum for 2 years. At the end of two years, he she noticed she had a profit of Rs. 2320 in both cases. If she would interchange the rate of interest in both cases, she would have the profit of Rs. 2300, Find the value of B.?

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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: The marked price of an item is 25% above the cost price of an item. When selling price is Rs. 2750 there is a gain percentage of 10% for the same cost price of an item.If the shopkeeper decides to give a discount of 2%, find the profit percentage. Quantity II: Radha invests Rs. 2500 and Rs. 3000 on simple interest at the rate of interest A% and B% per annum for 2 years. At the end of two years, he she noticed she had a profit of Rs. 2320 in both cases. If she would interchange the rate of interest in both cases, she would have the profit of Rs. 2300, Find the value of B.?

Quantity I ≥ Quantity II
Quantity I ≤ Quantity II
Quantity I < Quantity II
Quantity I > Quantity II
Quantity I = Quantity II or No relation

LohaHridoy

8 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 4 : Quantity I > Quantity II

Quantity I:

Selling price = Rs. 2750

Profit percentage = 10%

Cost price of an item = 2750 × 100/110 = Rs. 2500

Marked price of an item = 2500 × 125/100 = Rs. 3125

Discount percentage = 2%

Selling price after 2% discount = 3125 × 98/100 = Rs. 3062.5

Profit percentage = (3062.5 – 2500)/2500 × 100

Profit percentage = 22.5%

Quantity II:

Simple Interest earned by Rohan in 2 years =

= (2500 × A × 2/100) + (3000 × 2 × B/100)

= 50A + 60B

Profit he had = 2320

⇒ 50A + 60B = 2320

⇒ 5A + 6B = 232

Simple Interest earned by interchanging rates of interest =

= (2500 × B × 2/100) + (3000 × 2 × A/100)

= 50B + 60A

Profit he had = 2300

⇒ 50B + 60A = 2300

⇒ 6A + 5B = 230

Solving,

A = 20% and B = 22%

So, we can observe Quantity I > Quantity II.