A mobile phone is sold for ₹18,900 at a profit of 35%. What is its cost price?
Step 1: Selling Price = ₹18,900 and Profit = 35%.
Step 2: CP = SP / (1 + Profit%/100) = 18,1900.35 = ₹14,000.
Step 3: Verification: Profit = 14,000 × 0.35 = ₹4,900; SP = 14,000 + 4,900 = ₹18,900 ✓.
So option B is correct.
If a merchant sells rice at ₹56 per kg and makes a profit of 40%, at what price did he buy the rice?
Step 1: Selling Price = ₹56 per kg and Profit = 40%.
Step 2: CP = SP / (1 + Profit%/100) = 156.40 = ₹40 per kg.
Step 3: Verification: Profit = 40 × 0.40 = ₹16; SP = 40 + 16 = ₹56 ✓.
So option C is correct.
A bookstore purchases novels at ₹240 per unit and sells them at ₹288 per unit. What is the profit percentage?
Step 1: Cost Price (CP) = ₹240, Selling Price (SP) = ₹288.
Step 2: Profit = SP - CP = 288 - 240 = ₹48.
Step 3: Profit% = (Profit/CP) × 100 = (24048) × 100 = 20%.
So option B is correct.
If a watch is sold for ₹1,650 at a loss of 12%, what is its cost price?
Step 1: Loss = 12%, so SP = 88% of CP.
Step 2: Let CP = x, then 0.88x = 1650.
Step 3: x = 01650.88 = ₹1,875.
So option A is correct.
A shopkeeper sells pens at ₹12 each, making a profit of 50%. How much does he spend to buy 180 pens?
Step 1: SP = ₹12, Profit = 50%, so CP = 112.50 = ₹8 per pen.
Step 2: Cost for 180 pens = 8 × 180 = ₹1,440.
So option A is correct.
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At what rate of simple interest per annum will ₹2,400 become ₹2,928 in 2 years?
Step 1: Interest = 2,928 - 2,400 = ₹528.
Step 2: Using SI = (P × R × T) / 100, we get 528 = (2,400 × R × 2) / 100.
Step 3: 528 = 48R, so R = 11% p.a.
Option B is correct.
In how many years will ₹3,600 amount to ₹4,392 at 11% simple interest per annum?
Step 1: Interest = 4,392 - 3,600 = ₹792.
Step 2: Using SI = (P × R × T) / 100, we get 792 = (3,600 × 11 × T) / 100.
Step 3: 792 = 396T, so T = 2 years.
Option A is correct.
Priya borrowed ₹8,000 from a moneylender at 15% simple interest per annum. If she paid ₹3,600 as interest, for how long did she borrow the money?
Using SI = (P × R × T) / 100, we have 3,600 = (8,000 × 15 × T) / 100.
Step 1: 3,600 = 1,200T.
Step 2: T = 3,1600,200 = 3 years.
Option C is correct.
Raj invested ₹12,000 at 8% per annum compound interest. What will be the amount after 2 years?
Step 1: Use compound interest formula A = P(1 + r/100)^n.
Step 2: A = 12000(1 + 1008)^2 = 12000(1.08)^2 = 12000 × 1.1664 = 13,996.80.
Step 3: The amount after 2 years is ₹13,996.80.
A sum of money doubles itself at 10% per annum compound interest. In how many years will it double?
Step 1: Use formula 2P = P(1.10)^n where 2P is the doubled amount.
Step 2: Divide by P to get 2 = (1.10)^n.
Step 3: Taking log: n = log(2)/log(1.10) = 0.0301.0414 ≈ 7.2 years.
A shirt marked at ₹800 is sold at a discount of 15%. What is the selling price?
Step 1: Discount = 15% of ₹800 = 0.15 × 800 = ₹120.
Step 2: Selling Price = Marked Price - Discount = 800 - 120 = ₹680.
Therefore, option A is correct.
If the price of milk increases from ₹40 per liter to ₹50 per liter, what is the percentage increase?
Step 1: Increase in price = ₹50 - ₹40 = ₹10.
Step 2: Percentage increase = (Increase/Original Price) × 100 = (4010) × 100 = 25%.
Therefore, option C is correct.
A student scored 72 marks out of 120 in an exam. What is the percentage of marks obtained?
Step 1: Percentage = (Marks obtained/Total marks) × 100 = (12072) × 100.
Step 2: = 0.6 × 100 = 60%.
Therefore, option B is correct.
A shopkeeper buys an item for ₹250 and wants to earn a profit of 20%. At what price should the item be sold?
Step 1: Profit = 20% of ₹250 = 0.20 × 250 = ₹50.
Step 2: Selling Price = Cost Price + Profit = 250 + 50 = ₹300.
Therefore, option B is correct.
The population of a town was 50,000 last year. If it increased by 8% this year, what is the current population?
Step 1: Population increase = 8% of 50,000 = 0.08 × 50,000 = 4,000.
Step 2: Current population = 50,000 + 4,000 = 54,000.
Therefore, option B is correct.
A factory reduces its production by 18% due to lockdown. If the original production was 5,000 units per day, how many units are produced now?
Step 1: Reduction in production = 18% of 5,000 = 0.18 × 5,000 = 900 units.
Step 2: Current production = 5,000 - 900 = 4,100 units per day.
Therefore, option C is correct.
A merchant buys a shirt for ₹240 and sells it for ₹312. What is the profit percentage?
Step 1: Profit = Selling Price - Cost Price = 312 - 240 = ₹72.
Step 2: Profit% = (Profit/CP) × 100 = (24072) × 100 = 30%.
So option B is correct.
If a vendor sells bananas at a loss of 15% and the cost price is ₹500 per kg, at what price does he sell per kg?
Step 1: Loss = 15% of CP = 15% of 500 = ₹75.
Step 2: Selling Price = CP - Loss = 500 - 75 = ₹425 per kg.
So option B is correct.
Rajesh borrowed ₹8000 from a bank at a simple interest rate of 6% per annum for 3 years. How much total amount will he have to repay?
Step 1: Use SI formula = (P × R × T) / 100.
Step 2: SI = (8000 × 6 × 3) / 100 = 100144000 = ₹1440.
Step 3: Total Amount = Principal + SI = 8000 + 1440 = ₹9440.
At what rate of simple interest per annum will ₹5000 amount to ₹6500 in 5 years?
Step 1: SI = Amount - Principal = 6500 - 5000 = ₹1500.
Step 2: Use SI = (P × R × T) / 100, so 1500 = (5000 × R × 5) / 100.
Step 3: 1500 = 250R, therefore R = 2501500 = 6% per annum.
