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Data Interpretation


( 1 ) Manish started a business investing Rs. 45,000. After 3 months, Vibhor joined him with a capital of Rs. 60,000. After another 6 months, Vivek joined them with a capital of Rs. 90,000. At the end of the year, they made a profit of Rs. 16,500. Find the share of Vivek?
 1) 3300
 2) 4400
 3) 5500
 4) 6600

Show Answer Report Discussion in forumAnswer : 1) 3300
Solution : Clearly, Manish invested his capital for 12 months, Vibhor for 9 months and Vivek for 3 months.
So, ratio of their capitals = (45000 * 12) : (60000 * 9) : (90000 * 3)
= 540000 : 540000 : 270000 = 2:2:1.
Manishs share = Rs. [16500 * 2/5] = Rs. 6600; Vibhors share = Rs. [16500 * 2/5] = Rs. 6600; Viveks share = Rs. [16500 * 1/5] = Rs. 3300.
discussion
Answer : 1) 3300



( 2 ) Rs 4830 is divided among Abhishek, Dishant and Prashant such that if Abhishek's share diminishes by Rs 5, Dishant's share diminishes by Rs 10 and Prashant's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find the Dishant's original share.
 1) Rs 1610
 2) Rs 5421
 3) Rs 2314
 4) Rs. 1600

Show Answer Report Discussion in forumAnswer : 1) Rs 1610
Solution : Let actual share of Abhishek, Dishant and Prashant be A, D , P respectively.
A + D + P = 4830
Hence, A's, D's and P's share are diminished by Rs 5, Rs 10 and Rs 15, their net share will be Rs.4800.
Dishant's diminished share = 412 * 4800 = Rs 1600
Hence, Dishant actual share = Rs 1600 + Rs 10 = Rs 1610.
discussion
Answer : 1) Rs 1610



( 3 ) A, B and C enter into a partnership by investing Rs.3600, Rs.4400 and Rs.2800. A is a working partner and gets a fourth of the profit for his services and the remaining profit is divided amongst the three in the rate of their investments. What is the amount of profit that B gets if A gets a total of Rs. 8000?
 1) 4888.88
 2) 9333.33
 3) 4000
 4) 3666.66

Show Answer Report Discussion in forumAnswer : 1) 4888.88
Solution : Let, x be the total profit.
And, Their investment ratio = 3600:4400:2800=9:11:7.
So, A gets total amount of profit Rs. 8000 i.e
=> 8000 = (1/4) * x + (9/27) * (3/4) * x = (1/2) * x.
=> x = Rs 16,000.
Therefore, B's profit = (11/27) * (3/4) * 16,000 = Rs 4888.88.
discussion
Answer : 1) 4888.88



( 4 ) Two man, sitting on the dining table. One man has 7 eggs and other had 5 eggs. A third man passing by requested them to share their food in return for money. The three of them shared the eggs equally and the third traveller paid the other two a total of Rs 24. Find the difference between the amounts received by first two men?
 1) Rs 18
 2) Rs 12
 3) Rs 16
 4) Rs 15

Show Answer Report Discussion in forumAnswer : 2) Rs 12
Solution : If they shared equally, each got 4 eggs (12/3 = 4).
So, 1st man gave him 3 eggs and 2nd man gave him 1 egg .
Ratio of their share is 3 : 1.
So, 1st man gets (3/4) * 24 = Rs 18.
And, 2nd man gets (1/4) * 24 = Rs 6.
The required difference is 18  6 i.e 12.
discussion
Answer : 2) Rs 12



( 5 ) Rs.700 is divided among A,B and C so that A receives half as much as B and B half as much as C. Then C's share is :
 1) Rs.400
 2) Rs.300
 3) Rs.200
 4) Rs.600

Show Answer Report Discussion in forumAnswer : 1) Rs.400
Solution : Let C's share = Rs.x. Then
B's share = Rs.x^{2}
And, A's share = Rs.x^{4}
A:B:C = x^{4} : x^{2} : x = 1 : 2 : 4
Hence, C's share = Rs.(700 * 4/7) = Rs.400
discussion
Answer : 1) Rs.400



( 6 ) X and Y enter into partnership, investing Rs.12000 and Rs.16000 respectively. After 8 months, Z joins them with a capital of Rs.15,000. The share of Z in a profit of Rs.45,600 after 2 years will be
 1) Rs.21,200
 2) Rs.19,200
 3) Rs.14,400
 4) Rs.12,000

Show Answer Report Discussion in forumAnswer : 4) Rs.12,000
Solution : Ratio of shares = 12000 * 24 : 16000 * 24 : 15000 * 16 = 6 : 8 : 5
Z's share = Rs.(45000 * 519) = Rs.12000
discussion
Answer : 4) Rs.12,000



( 7 ) Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.1,50,000 earned at the end of 3 years from the start of the business in 1999?
 1) Rs 45000
 2) Rs 50000
 3) Rs 70000
 4) Rs 75000

Show Answer Report Discussion in forumAnswer : 2) Rs 50000
Solution : Surekha:Rajesh:Jay= (2500012+3500012+4500012):(3500024) : (3500012)
= 1260000 : 840000 : 420000
= 3 : 2 : 1.
Rajesh's share = Rs.(1500002/6)
= Rs.50000.
discussion
Answer : 2) Rs 50000



( 8 ) A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
 1) Rs. 45
 2) Rs. 50
 3) Rs. 60
 4) Rs. 40

Show Answer Report Discussion in forumAnswer : 1) Rs. 45
Solution : A : B : C = (10 * 7) : (12 * 5) : (15 * 3)
= 70 : 60 : 45
= 14 : 12 : 9
C's rent = Rs.(175 * 9/35)
= Rs. 45
discussion
Answer : 1) Rs. 45



( 9 ) P and Q started a software business. Their intial investments are in the ratio 14 : 15 respectively. If P invested the money for 10 months, for how many months did Q invest his money if the annual profits were divided in the ratio of 7:6 ?
 1) 6
 2) 7
 3) 8
 4) 9

Show Answer Report Discussion in forumAnswer : 3) 8
Solution : Suppose X invested Rs. 14x for months and Y invested Rs. 15x for y months. Then,
=> (14x * 10)/(15x * y) = 7/6
=> y = 840/105 = 8.
Hence, Y invested the money for 8 months.
discussion
Answer : 3) 8



( 10 ) Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000. At the end of the year, they made a profit of Rs. 20000. What would be Atuls share in it?
 1) Rs. 4000
 2) Rs. 6000
 3) Rs. 7000
 4) Rs. 5000

Show Answer Report Discussion in forumAnswer : 1) Rs. 4000
Solution : Just take care of the months of investment, rest all will be simple.
Yogesh : Pranab : Atul = 45000 * 12 : 60000 * 9 : 90000 * 3
= 2 : 2 : 1
Atul's share = Rs. 20000 * (1/5) = Rs. 4000
discussion
Answer : 1) Rs. 4000
