Question
A sum of money Rs._____ was invested in a scheme to earn
simple interest at the rate of 20% per annum for 4 years. Then 2/3rd of the total amount was deposited in another scheme to earn compound interest at 10% per annum for 2 years such that the interest earned was Rs._____. Which of the following options satisfies the two blanks respectively? I. Rs.15000 and Rs.3780 II. Rs.25000 and Rs.6300 III. Rs.40000 and Rs.10080 IV. Rs.45000 and Rs.11300Solution
ATQ, Amount after 4 years at SI = 9/5 P 2/3rd of this amount = 6/5 P Interest after 2 years at CI = 6/5 P × 21/100 = 63P/250 Now checking the options: I. Rs.15000 Interest = 63/250 × 15000 = 3780 ✅ II. Rs.25000 Interest = 63/250 × 25000 = 6300 ✅ III. Rs.40000 Interest = 63/250 × 40000 = 10080 ✅ IV. Rs.45000 Interest = 63/250 × 45000 = 11340, not 11300 ❌ Hence, Only I, II and III are correct.
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