RRB NTPC Maths Profit and Loss: Formulas, PYQ Samples

RRB NTPC Maths Profit and Loss is an essential part of railway exam preparation. This topic provides a foundation for many questions that are asked in exams as well as in practical life. Some important concepts related to this topic are Cost Price, Selling Price, Marked Price, Discount, etc. Some important formulas are also needed.

Previous year questions can be done in practice to understand patterns, which will help in increasing speed. Doing calculations with emphasis on CP-based calculations, as well as using practical situations like discounts and resale, can increase efficiency in profit and loss calculations.

RRB NTPC Maths Profit and Loss

Profit and Loss is a major concept in mathematics that involves the calculation of the difference between the selling price and the cost price of an article. There would be profit if the selling price of an article is greater than its cost price, while there would be a loss if the selling price of an article is less than its cost price. Knowledge of these concepts, along with formulas and calculations, would be important for doing exam questions correctly and quickly. Practice and use of formulas would help aspirants tackle simple as well as complicated profit and loss questions.

Basic Concepts of Profit and Loss

Before jumping into questions, it’s essential to understand the key terms of RRB NTPC Maths Profit and Loss :

1. Cost Price (CP) – The price at which an item is purchased.

2. Selling Price (SP) – The price at which the item is sold.

3. Marked Price (MRP) – The tagged price of an item in a store.

4. Discount – Reduction offered on the MRP.

Key Point: Profit or loss is always calculated on the cost price (CP)

Profit and Loss Formula

To solve any profit and loss question, the following formulas are essential for RRB NTPC Maths Profit and Loss chapter:

• Profit = SP – CP

• Loss = CP – SP

• Profit Percentage = (Profit ÷ CP) × 100

• Loss Percentage = (Loss ÷ CP) × 100

• Selling Price after Discount = MRP × (100 – Discount%) ÷ 100

Example:

• Bought an item for ₹10 and sold for ₹11 → Profit = ₹1

• Profit Percentage = (1 ÷ 10) × 100 = 10%

• Sold an item for ₹3 which cost ₹4 → Loss = ₹1

• Loss Percentage = (1 ÷ 4) × 100 = 25%

RRB NTPC Maths PYQ Examples

Practicing previous year questions helps understand exam patterns of RRB NTPC Maths Profit and Loss chaoter . Many PYQs test both simple and complex profit-loss calculations. These questions show that using formulas efficiently saves time during exams.

Question 1: Simple Profit

A shopkeeper bought an item for ₹594,828 and sold it for ₹660,920. Find the profit percentage.

Solution:
Profit = 660,920 – 594,828 = ₹66,092
Profit % = (66,092 ÷ 594,828) × 100 ≈ 11.1%

Question 2: Loss Calculation

Sheetal sold an article at ₹3,207 with a loss of 28%. Find the cost price.

Solution:
Selling Price = 72% of CP → CP = 3,207 ÷ 0.72 ≈ ₹4,454

Question 3: Profit on Resale

Kumar bought a used stereo for ₹1,500 and sold it at 16% profit. Find the selling price.

Solution:
SP = CP × (100 + Profit%) ÷ 100 = 1,500 × 116 ÷ 100 = ₹1,740

Question 4: Adjusting Profit Percentages

An article is sold for ₹4,125 at 10% profit. At what price should it be sold to gain 18% profit?

Solution:

• 10% profit → 110% = ₹4,125 → 1% = 4,125 ÷ 110 ≈ ₹37.5

• 18% profit → 118% × 37.5 ≈ ₹4,425

Question 5: Multiple Transactions

A wholesaler sold an article at ₹540 with 10% loss and later at ₹696. Calculate overall profit percentage.

Solution:

• CP = 540 ÷ 0.9 = ₹600

• Profit = 696 – 600 = ₹96

• Profit % = (96 ÷ 600) × 100 = 16%

Question 6: Fractional Loss

Anurag sold a pen at ₹144 after taking a loss of 1/7 of CP. Find the profit percentage if the pen is sold at ₹189.

Solution:

• 1/7 loss → SP = 6/7 of CP

• New Profit = 189 – 168 = ₹21

• Profit % = (21 ÷ 168) × 100 = 12.5%

Tips for Profit and Loss Practice

Understanding profit and loss concepts, as well as practicing smartly, are essential. Here are some tips to help you solve questions quickly in your exams.

• Start with CP and SP – All profit/loss calculations are done on the basis of Cost Price.

• Shortcut Methods – Use unitary methods for fast calculation in exams.

• Practice PYQs – Start solving previous RRB NTPC questions to form patterns.

• Handling Decimal and Fraction Problems – Numerous problems involve percentages as decimals and fractions.

• Use Real-Life Examples – Examples of discounts, marked prices, and resales.

Loss Profit is a scoring topic for RRB NTPC mathematics. With proper knowledge of formulas related to profit and loss, doing RRB NTPC mathematics pyq, you can solve even complicated questions related to profit and loss in short periods of time.