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Quant · PercentagesEasy
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Percentage Change

Percentage change measures how much a value changed relative to the original. Positive = increase, negative = decrease.

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Percentage Change
% Change =New−OldOld×100= \frac{\text{New} - \text{Old}}{\text{Old}} \times 100

💡 Successive changes of a% and b%: Net change = a + b + ab/100

A score improves from 80 to 100. What is the percentage increase?
CAT Trend: 124 PYQs · 5/5 years (2021–2025)
Quant · PercentagesEasy
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Fraction–Percentage Equivalents

Memorising key fraction-to-percent conversions saves crucial seconds on CAT. Use them in reverse for fast calculations.

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Fraction–Percentage Equivalents
18=12.5%\frac{1}{8}=12.5\% · 16≈16.7%\frac{1}{6}\approx16.7\% · 15=20%\frac{1}{5}=20\% · 14=25%\frac{1}{4}=25\% · 13≈33.3%\frac{1}{3}\approx33.3\% · 38=37.5%\frac{3}{8}=37.5\% · 25=40%\frac{2}{5}=40\% · 12=50%\frac{1}{2}=50\% · 35=60%\frac{3}{5}=60\% · 23≈66.7%\frac{2}{3}\approx66.7\% · 34=75%\frac{3}{4}=75\% · 45=80%\frac{4}{5}=80\%

💡 37.5% of 800 = 3/8 × 800 = 300 — fraction form is faster.

66⅔% of 900 = ?
CAT Trend: 124 PYQs · 5/5 years (2021–2025)
Quant · Profit & LossEasy
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Profit & Loss Basics

Profit = SP − CP. Loss = CP − SP. Percentage profit/loss is always calculated on Cost Price.

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Profit & Loss Basics
SP=CP×(1+P100)SP = CP \times \left(1 + \frac{P}{100}\right) | SP=CP×(1−L100)SP = CP \times \left(1 - \frac{L}{100}\right)

💡 If SP and profit% are given, CP = SP / (1 + P/100).

CP = ₹800, profit 25%. What is SP?
CAT Trend: 124 PYQs · 5/5 years (2021–2025)
Quant · Profit & LossEasy
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Marked Price & Discount

Shopkeepers mark up above CP (Marked Price), then offer a discount on MP to arrive at SP.

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Marked Price & Discount
SP=MP×(1−d100)SP = MP \times \left(1 - \frac{d}{100}\right) | Net profit% =m−d−md100= m - d - \frac{md}{100}

💡 If markup is m% and discount is d%, profit% = m − d − md/100.

MP = ₹1000, discount 20%. SP = ?
CAT Trend: 124 PYQs · 5/5 years (2021–2025)
Quant · Simple InterestEasy
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Simple Interest

In simple interest, interest is earned on the original principal only. It grows linearly with time.

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Simple Interest
SI=P×R×T100SI = \frac{P \times R \times T}{100} | Amount=P+SI\text{Amount} = P + SI

💡 If you need to double your money at simple interest, Time = 100/R years.

P = ₹5000, R = 8% p.a., T = 3 years. SI = ?
CAT Trend: 124 PYQs · 5/5 years (2021–2025)
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