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shivanshu

· started a discussion

· 1 Months ago

couldnt under stand solultion (Question:590968.0)

what is this fraction from whre 2646 comming

Question:
Suhit borrowed a sum of Rs. 6,300 from Vikas at the rate of 14% for 3 years. He then added some more money to the borrowed sum and lent it to Mohit at the rate of 16% of simple interest for the same time. If Suhit gained Rs. 618 in the whole transaction, then what sum did he lend to Mohit?
Options:
A) Rs. 7,000
B) Rs. 6,800
C) Rs. 7,200
D) Cannot be determined
Solution:

Let the money lent to Mohit be x

∵ x ×  \(\frac{16}{100}\) × 3 – 6300 × \(\frac{14}{100}\) × 3 = 618

⇒ \(\frac{X\times48}{100}\) – 63 × 14 × 3 = 618

⇒  \(\frac{48X}{100}\) = 618 + 2646

 ⇒  \(\frac{48X}{100}\) =3264

∴ x =  \(\frac{3264\times100}{48}\) = Rs. 6800

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