Question
Jupiter borrowed a sum of Rs 31,500 from Mars at the
rate of 14% per annum for 3 years. He added some more money in it and lent it to Saturn at the rate of 16% for same years to a total profit of Rs 3,090. Find how much amount does he add?Solution
Let the amount added be ‘P’ According to question, Interest of Jupiter = ((31500 + P) ×16 ×3)/100 - ((31500 + P) ×14 ×3)/100 = 3090 = 3/10 {[(31500+P)×16]-(31500 ×14)} = 3090 = 3/10 [504000+16P-441000] = 3090 = 16 P = 4000 P = Rs 2500
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