<![CDATA[Quant Boosters - Maneesh - Set 3]]>Number of Questions - 30
Topic - Quant Mixed Bag
Solved ? - Yes
Source -
]]>https://www.mbatious.com/topic/1019/quant-boosters-maneesh-set-3RSS for NodeTue, 28 Sep 2021 11:23:08 GMTThu, 14 Dec 2017 11:08:45 GMT60<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:08:45 GMT]]>Number of Questions - 30
Topic - Quant Mixed Bag
Solved ? - Yes
Source -
]]>https://www.mbatious.com/post/9713https://www.mbatious.com/post/9713Thu, 14 Dec 2017 11:08:45 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:09:01 GMT]]>Q1) A and B start a business. A invests Rs.600 more than B for 4 months and B for 5 months. A’s share is Rs.48 more than that of B out of a total profit of Rs.528. Find the capital contributed by each?
]]>https://www.mbatious.com/post/9714https://www.mbatious.com/post/9714Thu, 14 Dec 2017 11:09:01 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:09:11 GMT]]>A’s profit + B’s profit = 528
B’s profit +B’s profit+48 = 528
2 * B’s profit = 480
B’s profit = 240; A’s profit = 288
A’s capital * 4/B’s capital * 5 = 288/240 = 6/5
A’s capital/B’s capital = 6/4 = 3/2
B’s capital + 600/B’s capital = 3/2
2 * B’s capital +1200 = 3* B’s capital
B’s capital = Rs.1200; A’s capital = Rs.1800
]]>https://www.mbatious.com/post/9715https://www.mbatious.com/post/9715Thu, 14 Dec 2017 11:09:11 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:09:20 GMT]]>Q2) Two partners invested Rs.1250 and Rs.850 respectively in a business. They decided to distribute equally 60% of the profit and the remaining as the interest on their capital. If one receives Rs.320 more than the other, find the total profit.
]]>https://www.mbatious.com/post/9716https://www.mbatious.com/post/9716Thu, 14 Dec 2017 11:09:20 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:09:30 GMT]]>Let x is total profit.
Both partners will get 0.3x each.
Remaining 0.4x will be divided in the ratio of 1250/850 => 25/17
One will get 0.3x+ (10x/42) and other will get 0.3x+(6,8x/42)
22.6x/42 – 19.4x/42 = 320
3.2x = 42 * 320
X = 4200
Hence total profit is Rs.4200.
]]>https://www.mbatious.com/post/9717https://www.mbatious.com/post/9717Thu, 14 Dec 2017 11:09:30 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:09:39 GMT]]>Q3) A and B enter in to a partnership. A puts in Rs.2000 but at the end of three months, withdraws Rs.500 and again at the end of 8 months withdraws Rs.300. Out of a total profit of Rs.900 at the end of the year, B’s share was Rs.400. Find B’s capital.
]]>https://www.mbatious.com/post/9718https://www.mbatious.com/post/9718Thu, 14 Dec 2017 11:09:39 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:09:47 GMT]]>A’s profit/B’s profit = 5/4
A’s capital = 2000*3 + 1500 * 5 +1200 *4 = 6000+7500+4800 = 18300
A’s capital/ B’s capital = 5/4
B’s capital for 12 months= 4 * 18300/5 = 4 * 3660 = 14640
B’s capital for one month = 14640/12 = Rs.1220
]]>https://www.mbatious.com/post/9719https://www.mbatious.com/post/9719Thu, 14 Dec 2017 11:09:47 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:09:58 GMT]]>Q4) A, B and C started a business, two times of A’s capital is equal to 3 times of B’s capital and equal to 5 times of C’s capital. Out of a profit of Rs.1550, A’s share is
]]>https://www.mbatious.com/post/9720https://www.mbatious.com/post/9720Thu, 14 Dec 2017 11:09:58 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:10:05 GMT]]>2A = 3B = 5C
A : B = 3:2
B:C = 5:3
A:B:C = 15:10:6
A’s share = 1550 * 15/(15+10+6) = 50 * 15 = Rs.750
]]>https://www.mbatious.com/post/9721https://www.mbatious.com/post/9721Thu, 14 Dec 2017 11:10:05 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:10:15 GMT]]>Q5) Raju, Ravi and Ramu invest Rs.15000, Rs.25000 and Rs.30000 respectively in a business. After one year Raju removed his money but Ravi and Raju continued for one more year. If the net profit after 2 years is Rs.25200, then Raju’s share in the profit is:
]]>https://www.mbatious.com/post/9722https://www.mbatious.com/post/9722Thu, 14 Dec 2017 11:10:15 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:10:23 GMT]]>Raju’s capital = 1 * 15000 = 15000
Ravi’s capital = 2 * 25000 = 50000
Ramu’s capital = 2 * 30000 = 60000
Raju’s share = 25200 * 15000/125000 = 25200 * 3/25 = 1008 * 3 = Rs.3024
]]>https://www.mbatious.com/post/9723https://www.mbatious.com/post/9723Thu, 14 Dec 2017 11:10:23 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:10:54 GMT]]>Q6) Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. Find the sum placed on simple interest.
]]>https://www.mbatious.com/post/9724https://www.mbatious.com/post/9724Thu, 14 Dec 2017 11:10:54 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:11:01 GMT]]>Let Principal is P
P * 3 * 8/100 = 1/2(4000(110/100)^2-4000)
6P/25 = 1/2(40 * 121 -4000) = 1/2(4840-4000) = 1/2 (840) = 420
P = 25 * 420/6 = 25 * 70 = 1750
]]>https://www.mbatious.com/post/9725https://www.mbatious.com/post/9725Thu, 14 Dec 2017 11:11:01 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:11:08 GMT]]>Q7) Find the difference between simple interest and compound on Rs. 1200 for one year at 10% per annum reckoned half-yearly?
]]>https://www.mbatious.com/post/9726https://www.mbatious.com/post/9726Thu, 14 Dec 2017 11:11:08 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:11:17 GMT]]>P = 1200 N = 1 YEAR R= 10%
SI = 1200 * 1 * 10/100 = 120 RS
CI = 1200(1+(10/2)/100)^2 – 1200
= 1200 * 441/400 -1200
= 1200 * (441/400 – 1)
= 1200 * 41/400
= 123 RS
Difference = 3RS
]]>https://www.mbatious.com/post/9727https://www.mbatious.com/post/9727Thu, 14 Dec 2017 11:11:17 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:11:26 GMT]]>Q8) The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?
]]>https://www.mbatious.com/post/9728https://www.mbatious.com/post/9728Thu, 14 Dec 2017 11:11:26 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:11:33 GMT]]>(15000(1+R/100) ^2-15000) – 15000 * 2 * R/100 = 96
15000((1+R/100) ^2-1 -2R/100) = 96
15000(1+2R/100+R^2/10000-1-2R/100) = 96
15000 * R^2/10000 = 96
3R^2 = 192
R^2 = 64
R = 8%
]]>https://www.mbatious.com/post/9729https://www.mbatious.com/post/9729Thu, 14 Dec 2017 11:11:33 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:11:44 GMT]]>Q9) The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. Find the sum.
]]>https://www.mbatious.com/post/9730https://www.mbatious.com/post/9730Thu, 14 Dec 2017 11:11:44 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:11:51 GMT]]>Let P = 1 Rs
SI = 1 * 2 * 4/100 = 2/25
CI = 1 * (104/100)^2 – 1 = 676/625-1 = 51/625
CI-SI = 51/625 – 2/25
= 51-50/625 = 1/625
Hence for 1 Rs sum difference is 1/625 Rs
So for getting 1 Rs difference Sum will be 625 Rs.
]]>https://www.mbatious.com/post/9731https://www.mbatious.com/post/9731Thu, 14 Dec 2017 11:11:51 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:11:59 GMT]]>Q10) The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. Find the period (in years)
]]>https://www.mbatious.com/post/9732https://www.mbatious.com/post/9732Thu, 14 Dec 2017 11:11:59 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:12:06 GMT]]>Total Amount = 30000+4347 = 34347
34347 = 30000 * (1+7/100) ^N
(107/100)^N = 34347/30000 = 11449/10000
(107/100)^N = 11449/10000
N = 2 Years
]]>https://www.mbatious.com/post/9733https://www.mbatious.com/post/9733Thu, 14 Dec 2017 11:12:06 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:12:25 GMT]]>Q11) Ram’s speed is with the current is 10 m/s and speed of current is 2 m/s .Then What’s Ram’s speed against current?
]]>https://www.mbatious.com/post/9734https://www.mbatious.com/post/9734Thu, 14 Dec 2017 11:12:25 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:12:32 GMT]]>Let speed of current y = 2 m/s
Let Ram’s speed in still water is x m/s
x+2 = 10 m/s
x = 8 m/s
]]>https://www.mbatious.com/post/9735https://www.mbatious.com/post/9735Thu, 14 Dec 2017 11:12:32 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:12:39 GMT]]>Q12) A boat can travel with a speed of 15 m/s in still water. If the speed of the stream is 5 m/s, find the time taken by the boat to go 100 m downstream?
]]>https://www.mbatious.com/post/9736https://www.mbatious.com/post/9736Thu, 14 Dec 2017 11:12:39 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:12:49 GMT]]>x = 15 m/s
y= 5 m/s
downstream speed ,d = 15+5 = 20 m/s
distance = 100 m
time taken = 100/20 = 5 seconds
]]>https://www.mbatious.com/post/9737https://www.mbatious.com/post/9737Thu, 14 Dec 2017 11:12:49 GMT<![CDATA[Reply to Quant Boosters - Maneesh - Set 3 on Thu, 14 Dec 2017 11:12:59 GMT]]>Q13) A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours and 30 minutes. Find the speed of the stream?
]]>https://www.mbatious.com/post/9738https://www.mbatious.com/post/9738Thu, 14 Dec 2017 11:12:59 GMT