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कनैै धनराशिको 2 वर्षमा वार्षिक [tex]$12 \%$[/tex] ब्याजदरने ब्याज रु. 150 हुन्छ भने सो धनराशि (सावाँ) पत्ता लगाउनुहोस्।

(Find the principal amount if the interest in 2 years at [tex]$12 \%$[/tex] p.a. is Rs. 150.)

Ans: Rs. 625

Sagot :

GinnyAnswer
धनराशि पत्ता लगाउन हामी सरल ब्याज सूत्रको प्रयोग गर्नेछौं:
[tex]\[ ब्याज = Principal \times Rate \times Time / 100 \][/tex]
जहाँ,
ब्याज (Interest) = Rs. 150,
दर (Rate) = 12% प्रति वर्ष,
अवधि (Time) = 2 वर्ष।

अब हामी यस सूत्रलाई बाक्लो बनाउन सक्छौं:
[tex]\[ ब्याज = Principal \times 12 \times 2 / 100 \][/tex]

हामी Principal (धनराशि) पत्ता लगाउन यसलाई फेर्यौं:
[tex]\[ Principal = ब्याज \times 100 / (Rate \times Time) \][/tex]

अब हामी अजान नगरी मूल्यहरू राख्न सक्छौं:
[tex]\[ Principal = 150 \times 100 / (12 \times 2) \][/tex]

[tex]\[ Principal = 150 \times 100 / 24 \][/tex]

[tex]\[ Principal = 15000 / 24 \][/tex]

[tex]\[ Principal = 625 \][/tex]

यस प्रकार, ब्याज दर 12% प्रति वर्षमा 2 वर्ष को लागि Rs. 150 को ब्याज भएको मूल धनराशि Rs. 625 हुनेछ।
अत: सही उत्तर Rs. 625 हो।
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