Multiple choice

M borrowed a sum of Rs.1150 from A at the simple rate of 6 p.c.p.a. for 3 years. He then added some more money to the borrowed sum and lent it to S for the same time at 9 p.c.p.a. at simple interest. If M gains Rs.274.95 from the whole transaction, then what is the sum lent by him to S? M ने A से 1150 रू.की राशि तीन वर्षो के लिये 6 प्र.श.प्र.व. की साधारण दर पर उधार लिया। फिर उसने उधार ली गई राशि में कुछ और धन मिलाया और इसे S को उतने ही समय के लिए 9 प्र.श.प्र.व. के साधारण ब्याज की दर पर उधार दिया। यदि M को पूरे सौदे में 274.95 रू. का लाभ मिले तो उसके द्वारा S को उधार दी गई राशि क्या है?

  1. Rs.1820

  2. Rs.1758

  3. Rs.1785

  4. Rs.1930

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Interest paid by M to A = 1150 × 6 × 3/100 = Rs.207. Interest received by M from S on Rs.x at 9% for 3 years = x × 9 × 3/100 = 0.27x. M's gain = Interest received - Interest paid = 0.27x - 207 = 274.95. Solving: 0.27x = 481.95, x = 481.95/0.27 = Rs.1785. Option A (Rs.1820) would give a gain of Rs.285.30, Option B (Rs.1758) would give Rs.266.94, and Option D (Rs.1930) would give Rs.313.20.

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