Quantitative Aptitude
easyQ. No. 6807-what-is-the-amount-on-rs-1200-at-10-compound-interest-for-2-years
What is the amount on Rs.1200 at 10% compound interest for 2 years?
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A1400
B1452
C1500
D1550
Correct Answer: 1452Your Answer: B
Explanation
This compound interest solved example uses the step-by-step amount formula A = P(1 + R/100)^n, a quick shortcut trick for annual compounding. Substituting P = 1200, R = 10, and n = 2 gives A = 1200(1.10)^2. Since 1.10 squared equals 1.21, the amount becomes 1200 × 1.21 = ₹1452. This amount includes ₹1200 principal and ₹252 compound interest. Therefore, ₹1452 is correct, matching option B.
Important Notes
- Use A = P(1 + R/100)^n to calculate the final compound amount.
- At 10% per annum for two years, the amount factor is 1.10² = 1.21.
- Hence, ₹1200 × 1.21 = ₹1452; the compound interest component is ₹252.
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Profit and Loss FAQs
Common questions and clear answers for this topic.
What is Profit and Loss in mathematics and what are the basic terms?
Profit and Loss is a key Quantitative Aptitude topic in SSC CGL, IBPS Bank PO, SBI PO, CAT, and Railway exams. Basic terms: Cost Price (CP) - price at which an item is purchased. Selling Price (SP) - price at which it is sold. Profit = SP - CP (when SP > CP). Loss = CP - SP (when CP > SP). Profit% = (Profit/CP) x 100. Loss% = (Loss/CP) x 100.
What is the difference between Marked Price, Selling Price, and Discount?
Marked Price (MP) is the price printed on the item before discount. Discount = MP - SP. Discount% = (Discount/MP) x 100. SP = MP x (100-Discount%)/100. If a shopkeeper marks up by 40% and gives 20% discount: SP = CP x 1.40 x 0.80 = 1.12CP = 12% profit. Profit% and Loss% are always calculated on Cost Price unless specified otherwise.
How to solve Successive Discount problems?
When two successive discounts of a% and b% are given, the effective single discount = a + b - (ab/100). Example: Two discounts of 20% and 10%: Effective discount = 20 + 10 - (20x10/100) = 30 - 2 = 28%. For three discounts: apply the formula twice. Three discounts of 10% each is NOT 30% total but approximately 27.1%. These problems frequently appear in banking exams.
What is the concept of Dishonest Dealer in Profit and Loss?
A dishonest dealer uses a false weight to make extra profit. If a dealer uses 800g instead of 1000g and claims to sell at cost price, profit% = (200/800) x 100 = 25%. Formula: Profit% = Error/(True weight - Error) x 100. If he also adds a markup percentage on top, calculate both profits separately and combine them.
What are the shortcut formulas for Profit and Loss calculations?
Key Profit and Loss shortcuts: CP when profit% known: CP = SP x 100/(100+P%). CP when loss% known: CP = SP x 100/(100-L%). If article sold at 2/3 of original price gives x% loss: original price = SP x (100/(100-x)). For two articles at same SP, one at x% profit and other at x% loss: always results in x squared/100% loss overall. Memorize these for exam speed.