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If the interest for 5 years on Rs 3000 is Rs.525, find the interest on Rs 2200 for 6 years at the same rate of interest.

Mathematics

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Answer

Rs 462\text{Rs 462}

Step-by-step solution

2 steps

यहाँ साधारण ब्याजको सूत्र प्रयोग गरिन्छ:

I=P×T×R100I = \frac{P \times T \times R}{100}

जहाँ II = ब्याज, PP = मूलधन, TT = समय, र RR = ब्याज दर।

  1. पहिलो अवस्थाबाट ब्याज दर (RR) पत्ता लगाउनुहोस्।

    दिइएको छ:
    मूलधन (P1P_1) = Rs 3000
    समय (T1T_1) = 5 वर्ष
    ब्याज (I1I_1) = Rs 525

    सूत्र प्रयोग गरेर RR पत्ता लगाउनुहोस्:

    R=I1×100P1×T1R = \frac{I_1 \times 100}{P_1 \times T_1} R=525×1003000×5R = \frac{525 \times 100}{3000 \times 5} R=5250015000R = \frac{52500}{15000} R=525150R = \frac{525}{150} R=3.5%R = 3.5\%

    त्यसैले, ब्याज दर 3.5%3.5\% छ।

  2. दोस्रो अवस्थाको लागि ब्याज (I2I_2) पत्ता लगाउनुहोस्।

    दिइएको छ:
    मूलधन (P2P_2) = Rs 2200
    समय (T2T_2) = 6 वर्ष
    ब्याज दर (RR) = 3.5%3.5\% (Step 1 बाट)

    सूत्र प्रयोग गरेर I2I_2 पत्ता लगाउनुहोस्:

    I2=P2×T2×R100I_2 = \frac{P_2 \times T_2 \times R}{100} I2=2200×6×3.5100I_2 = \frac{2200 \times 6 \times 3.5}{100} I2=22×6×3.5I_2 = 22 \times 6 \times 3.5 I2=132×3.5I_2 = 132 \times 3.5 I2=462I_2 = 462

    त्यसैले, Rs 2200 मा 6 वर्षको लागि 3.5%3.5\% ब्याज दरमा लाग्ने ब्याज Rs 462 हुन्छ।

    The interest is Rs 462\text{Rs 462}.

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