Fractions as percentages: the table every exam topper knows

भिन्न को प्रतिशत में: टॉपर्स की ज़रूरी तालिका

Knowing 1/8 = 12.5%, 1/6 = 16.66% and 1/12 = 8.33% by heart turns percentage, profit-loss and data interpretation questions into simple fractions.

1/8 = 12.5%, 1/6 = 16.66% और 1/12 = 8.33% जैसे मान याद हों तो प्रतिशत, लाभ-हानि और डेटा इंटरप्रिटेशन के सवाल आसान भिन्न बन जाते हैं।

Learn these

1/2 = 50% · 1/3 = 33.33% · 2/3 = 66.66% · 1/4 = 25% · 1/5 = 20% · 1/6 = 16.66% · 5/6 = 83.33% · 1/7 = 14.28% · 1/8 = 12.5% · 3/8 = 37.5% · 5/8 = 62.5% · 1/9 = 11.11% · 1/11 = 9.09% · 1/12 = 8.33% · 1/16 = 6.25%

Use them

Turn the percentage into its fraction, then divide.

Example 37.5% of 240
3/8 × 240 = 90
Example 83.33% of 96
5/6 × 96 = 80
Example 12.5% of 640
640 ÷ 8 = 80

Profit and loss

A 25% profit means selling price = 5/4 of cost price; a 20% loss means selling price = 4/5 of cost price. Thinking in fractions avoids long multiplication.

Try it yourself · अभ्यास

  1. 6.25% of 800
    Show answer

    800 ÷ 16 = 50

  2. 9.09% of 99
    Show answer

    99 ÷ 11 = 9