Multiple choice

Find the value of x and y from Q1 and Q2 and choose correct option. Q1 और Q2 से x और y का मान ज्ञात कीजिए और सही विकल्प चुनिए। Q1: ₹ 600000 is divided into three parts (the first part is ₹ x) in such a way that their respective amount; each at 10% interest; after 2 years, 4 years and 6 years respectively; is in the ratio of 12:21:32. ₹ 600000 को तीन भागों (पहला भाग ₹ x है) में इस प्रकार विभाजित किया गया कि उनका संगत मिश्रधन; प्रत्येक पर 10% प्रति वार्षिक की दर से; क्रमश: 2 साल, 4 साल और 6 साल के बाद 12:21:32 के अनुपात में हो जाता है. Q2: A man deposited ₹ 3480000 between his two sons in such a way that when they aged 18 years they could receive equal amounts. They aged 15 years and 13 years. If the rate of the interest is 4% pa. The difference of the amount of money deposited in their accounts is ₹ y. एक आदमी ने ₹ 3480000 अपने दो बेटों के खाते में इस प्रकार जमा कराता है कि वो अपने 18 वें जन्मदिन पर एक समान धनराशि प्राप्त करें. उनकी आयु 15 वर्ष और 13 वर्ष है; यदि ब्याज की दर 4% प्रति वर्ष हो तो उनके खाते में जमा राशि का अंतर ₹ y है।

  1. x > y

  2. x < y

  3. x ≤ y

  4. x ≥ y

  5. x = y or CND

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

Q1: Amounts after 2, 4, 6 years at 10% are in ratio 12:21:32. Each principal P at 10% for t years becomes P(1 + 0.1t). Setting P1(1.2):P2(1.4):P3(1.6) = 12:21:32 and P1 + P2 + P3 = 600000, we get P1 (first part = x) = ₹160000. Q2: Son1 (age 15) has 3 years to 18, Son2 (age 13) has 5 years. Let amounts be A and B with A(1.04)^3 = B(1.04)^5, so B/A = 1/(1.04)^2 ≈ 0.9246. Also A + B = 3480000. Solving: A ≈ ₹1808400, B ≈ ₹1671600. Difference y = ₹136800. Since x (₹160000) > y (₹136800), option A is correct.