#### 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
• Discussion in forum
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

• ( 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
• Discussion in forum
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

• ( 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
• Discussion in forum
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

• ( 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
• Discussion in forum
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

• ( 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
• Discussion in forum
Solution : Let C's share = Rs.x. Then
B's share = Rs.x2
And, A's share = Rs.x4
A:B:C = x4 : x2 : x = 1 : 2 : 4
Hence, C's share = Rs.(700 * 4/7) = Rs.400

discussion

• ( 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
• Discussion in forum
Solution : Ratio of shares = 12000 * 24 : 16000 * 24 : 15000 * 16 = 6 : 8 : 5
Z's share = Rs.(45000 * 519) = Rs.12000

discussion

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

discussion

• ( 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
• Discussion in forum
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

• ( 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
• Discussion in forum
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

• ( 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
• Discussion in forum
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