स्पष्टीकरणासह प्रश्‍न Type - 6 - Maths & Resoning

1) x च्‍या 25% चे 25% म्‍हणजे 25 तर x = ?

    Explanation: \[x\times \frac{25}{100}\times \frac{25}{100}=25\\ \frac{x}{16}=25\\ x=25\times 16\\ x=400\]


    2) x च्‍या 20% चे 20% म्‍हणजे 20 तर x = ?

      Explanation: \[x\times \frac{20}{100}\times \frac{20}{100}=20\\ \frac{x}{25}=20\\ x=25\times 20\\ x=500\]


      3) (50 चे 50%)(25 चे 25%) = ?

      Explanation: \[\frac{50\times \frac{50}{100}}{25\times \frac{25}{100}}\\ \frac{25}{\frac{25}{4}}\ =25\times \frac{4}{25}=4\]


      4) x च्‍या 20% चे 30% म्‍हणजे 1200 तर x = ?

      Explanation: \[x\times \frac{20}{100}\times \frac{30}{100}=1200\\ \frac{3x}{50}=1200\\ 3x=1200\times 50\\ x=\frac{1200\times 50}{3}=400\times 50=20000\]


      5) x च्‍या 40% चे 80% म्‍हणजे 3200 तर x = ?

        Explanation: \[x\times \frac{40}{100}\times \frac{80}{100}=3200\\ \frac{8x}{25}=3200\\ 8x=3200\times 25\\ x=\frac{3200\times 25}{8}=400\times 25=10000\]


        6) 25 % चे दशांश अपूर्णांकात कसे लिहाल.

          Explanation: \[\frac{2}{5}\div 100\\ \frac{2}{5}\times \frac{1}{100}=\frac{1}{250}=0.004\]


          7) 800 चे 12% म्‍हणजे 600 चे किती टक्‍के?

            Explanation: \[800\times \frac{12}{100}=600\times \frac{x}{100}\\ 96=6x\\ x=\frac{96}{6}\]=16%


            8) x चे 15% म्‍हणजे 900 चे 10 %

              Explanation: \[x\times \frac{15}{100}=900\times \frac{10}{100}\\ \frac{3x}{20}=90\\ 3x=90\times 20\\ x=\frac{90\times 20}{3}\\ x=30\times 20\\ x =600\]


              9) 800 चे 12% म्‍हणजे 1000 चे किती टक्‍के?

              Explanation:\[800\times \frac{12}{100}=1000\times \frac{x}{100}\\ 96=10x\\ x=\frac{96}{10}\\\]x=9.6%


              10) x चे 20% म्‍हणजे 5000 चे 12.5 %

                Explanation: \[x\times \frac{20}{100}=5000\times \frac{12.5}{100}\\ \frac{x}{5}=50\times 12.5\\ \frac{x}{5}=625\\ x=625\times 5\\ x=3125\]