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QUANTessential👑

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Train P started at station A at a speed of Z km/h, after travelling 180 km its speed is reduced by 25% so it reaches station B at 7:15 pm. Train Q started at station A at the same time as train P at a speed of (2Y + 30) km/h, after travelling 240 km its speed is halved and reaches station B at 9 pm. Train R stared at 1 pm from station C running towards station D at a speed of (Y + 15) km/h, while on same time, train S started from station D running towards station C, at speed of (Z/2 – 10) km/h. Train R and train S expected to collide at 6 pm. If at 3 pm, the speed of train R is decreased by L km/h and speed of train S is decreased by 1.5L km/h.now, they are expected to meet at 7:40 pm. Note: Train P and train Q cover the whole distance at speed of Z km/h and (2Y + 30) km/h respectively and both the trains reach station B at 6 pm. sиαρσnє🌱 1) Find the value of (2L + 50). a) 60 b) 75 c) 70 d) 80 e) None of these 2) If two trains P running at Z km/h and train T running at (3L + Y + 9) km/h start simultaneously from station A towards station B (the faster of them changed its direction after reached station B), then find the time taken for their first meeting? (Ignore the length of trains). a) 7 hours 20 minutes b) 6 hours 20 minutes c) 7 hours 15 minutes d) 6 hours 40 minutes e) None of these 3) If speed of train T is 200% more than that of train P, find the time taken by train T to cover the distance between A and B. a) 2 hours b) 3 hours c) 4.5 hours d) 2.5 hours e) None of these 4) Find the respective ratio of time taken by train P and train Q to cover half of the distance between A and B? a) 6:5 b) 13:12 c) 16:15 d) 18:11 e) None of these 5) If another train U covered 40% of distance between A and B at speed of 96 km/h, half of the rest distance between A and B is 72 km/h and rest is 36 km/h. The total time taken by train U to reach station B is equal to the time taken by train T to travel 400 km. Find the speed of train T? a) 48 km/h b) 45 km/h c) 54 km/h d) 60 km/h e) None of these 💥Join : @Quant_Genius

He played in two Olympics in 1956 and 1960 and was part of the team which won the Asian Games gold in Jakarta in 1962. • In 1962, he received Arjuna Award from the Government of India. • The Government of West Bengal awarded him 'Banga Vibhushan' in 2013. • He scored 131 goals, including 14 for India, across 7 seasons BOT QUESTION

The train will cover two most significant pilgrimage sites Ayodhya in Uttar Pradesh and ---------------------- in Nepal. • The train consists of four first-AC coaches, two second- AC Coaches, two rail restaurants and a library. • It can accommodate 156 tourists onboard. • The fare will start from over 39 thousand rupees per person. • The tour package also includes a night stay at AC hotels and veg meals

“Sahitya Akademi Award 2022” 1. ENGLISH -Anuradha Roy All the Lives We Never Lived (Novel) 2. HINDI-Badri Narayan Tumadi Ke Shabd (Poetry) 3. URDU -Anis Ashfaq Khwab Saraab (Novel) 4. TAMIL-M. Rajendran Kaala Paani 5. MARATHI -Pravin Dasharath Bandekar Ujavya Sondechya Bahulya (Novel) #sahityakademiawards 💥Join : @Banking_encyclopedia_by_Nihar

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Detailed Solution: Initially investment amount ‘A’ for 7 months = Rs. X * 7 Initially investment amount ‘B’ for 7 months = (1.75X – 675) * 7 Initially investment amount ‘C’ for 7 months = (720 + 45% of X) * 7 1. Answer: C ATQ, after 7 months ‘A’ investment amount = (X * 7) + (X - 270) * 5 = 7X + 5X – 1350 = 12X - 1350 ‘B’ investment amount = (1.75X - 675) * 7 + (1.75X + 675) * 5 = 12.25X – 4725 + 8.75X + 3375 = 21X - 1350 ‘C’ investment amount = (720 + 45% of X) * 7 + (1098 + 45% of X) * 5 = 5040 + 315% of X + 5490 + 225% of X = 10530 + 5.4X A + B + C investment amount = 12X – 1350 + 21X – 1350 + 10530 + 5.4X = 7830 + 38.4X (10530 + 5.4X)/ (7830 + 38.4X) = 9000/34200 = 5/19 19 * (10530 + 5.4X) = (7830 + 38.4X) * 5 2,00,070 + 102.6X = 39, 150 + 192X 89.4X = 160920 X = 1800 ‘A’ investment amount for 1 year = (12 * 1800) – 1350 =Rs.20250 ‘B’ investment amount for 1 year = (21 * 1800) – 1350 =Rs.36450 ‘C’ investment amount for 1 year = 10530 + (5.4 * 1800) =Rs.20250 Given that, C’s profit = Rs.9000 A’s amount = C’s amount so, A’s profit =Rs.9000 B’s profit = 34200 – (9000 + 9000) =Rs.16200 B’s 80% profit invested in two schemes P and Q = 16200 * 80% =Rs.12960 Scheme P interest = (12960 - X) * 30% * 3 = 11664 – 0.9X Scheme Q interest = X * (120% * 120% - 1) = 0.44X SI – CI, 11664 – 0.9X – 0.44X = 1614 10,050 = 1.34X X = 7500 Scheme Q invested amount = Rs.7500 Scheme P invested amount = 12960 – 7500 =Rs.5460 R: S = 5460:7500 = 91:125 Scheme Q, CI interest = 0.44 * 7500 = 3300 Cost price of an article bought by B = Rs. 3300 Selling price of an article at 40% loss (CP of D) = 3300 * 60% = Rs.1980 Marked price for 80% above price = 1980 * 180% =Rs. 3564 3564 * (100 – Z) % * (100 - Z + 5) % = 2423.52 (100 – Z) * (105 – Z) = 6800 Z² - 205Z + 3700 = 0 Z = 20, Z = 185 (not possible) Z = 20% sиαρσnє🌱 2. Answer: C Scheme Q, CI interest = 0.44 * 7500 = 3300 3. Answer: E Z = 20% 4. Answer: C 5. Answer: B 16200 * 20% * 3 = Rs.9720 💥Join : @Quant_Genius

Answer key will be uploaded at 10pm😁

A, B and C entered into a business and initial investment made by A is Rs. X, initial investment made by C is Rs. 720 more than 45% of the initial investment made by A and initial investment made by B is Rs. 675 less than 1.75 times the initial investment made by A. After 7 months, A withdrew Rs. 270, B added Rs. 1350 more and C added Rs. 378 more. Profit share of C at the end of the year, out of total profit share of Rs. 34200 is Rs. 9000. B invested 80% of the profit earned by him in two schemes P and Q in the ratio of R: S respectively. Scheme P offers simple interest of 30% p.a. while scheme Q offers a compound interest of 20% p.a. compounded annually. Total interest received from scheme P at the end of 3 years is Rs. 1614 more than the interest received from scheme Q at the end of 2 years. From the interest earned by B from scheme Q, he bought an article and sold it at a loss of 40% to D. D marked it 80% above the price which he paid to B and sold it after two successive discounts of Z% and (Z - 5) % making a profit of Rs. 443.52. sиαρσnє🌱 1. Find the profit share of ‘A’ out of total profit? A. Rs. 16200 B. Rs. 7500 C. Rs. 9000 D. Rs. 11200 E. None of these 2. Find the total interest earned by B from scheme Q? A. Rs. 6750 B. Rs. 4914 C. Rs. 3300 D. Rs. 5460 E. None 3. Find the value of Z? A. 15 B. 10 C. 7.5 D. 17.5 E. 20 4. Find the ratio of R: S? A. 90:121 B. 89:121 C. 91:125 D. 88:125 E. None 5. Find the interest earned by B if he invested his whole profit in SI at Z% per annum for 3 years? A. Rs.9210 B. Rs.9720 C. Rs.9840 D. Rs.9360 E. None 💥Join : @Quant_Genius

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