Two equal sums are lent at 6% and 9% simple interest per ... - Simple and Compound Interest MCQ Solution

Two equal sums are lent at 6% and 9% simple interest per annum respectively. The interest received on both sums after 4 years differs by ₹150. Find each sum.

Two equal sums are lent at 6% and 9% simple interest per annum respectively. The interest received on both sums after 4 years differs by ₹150. Find each sum.
दो बराबर राशियाँ क्रमश: 6% और 9% प्रति वर्ष साधारण ब्याज पर उधार दी जाती हैं।4 वर्षों के बाद दोनों राशियों पर प्राप्त ब्याज में ₹150 का अंतर है। प्रत्येक राशि ज्ञात कीजिए।

₹1000 ₹1125 ₹1250 ₹1350

Detailed Solution & Logic

Correct Answer:

₹1250

Two equal sums = दोनों राशियाँ समान हैं = मान लेते हैं ₹X
Rate दर1 = 6%
Rate दर2 = 9%
Time समय= 4 years
Interest difference ब्याज अंतर = ₹150
= 9% - 6% =3%
So effective difference rate:
3% $\times$ 4 = 12%
12% of the sum = ₹150
Sum = $\frac{150\times 100}{12}$
=₹1250

Two equal sums are lent at 6% and 9% simple interest per annum respectively. The interest received on both sums after 4 years differs by ₹150. Find each sum.

Detailed Solution & Logic

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