Multiple choice

Three amounts x, y and z are such that y is simple interest on x and z is the simple interest on y. If in all the three cases, rate of interest per annum and all the time for which interest is calculated is the same, then find the relation between the x, y and z. तीन राशियों x, y और z ऐसी हैं कि x पर साधारण ब्याज y है और y पर साधारण ब्याज z है | यदि सभी तीनों अवस्थाओं में, प्रति वर्ष ब्याज की दर और सभी समयवधि के लिए गणित की गयी है, समान है, तो x, y और z में सम्बन्ध ज्ञात कीजिये |

  1. xyz = 1

  2. x2 = yz

  3. z = x2y

  4. y2 = xz

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using SI = PRT/100, we have y = xRT/100 and z = yRT/100. Substituting y from the first into the second: z = (xRT/100)(RT/100) = x(RT/100)². Multiplying y² = x²(RT/100)² and comparing with xz gives y² = xz.