Step-by-step explanation:
Suresh and Ramesh together invested 144000 rupees in the ratio 4:5 and bought a plot of land. After some years they sold it at a profit of 20%. What is the profit each of them got?
ANSWER:
The proportion of Suresh's and Ramesh’s investment is 4:5.
The profit is shared in the same proportion as the investment, hence, proportion of profit is 4:5.
Now, profit = 20100×144000
= 28800 rupees
Therefore, the profit of Suresh and Ramesh is given by
Suresh's profit = 49×28800
= 12800 rupees
Ramesh's profit = 59×28800
= 16000 rupees
Hence, Suresh and Ramesh got the profit of 12800 and 16000 rupees respectively.
Page No 68:
Question 2:
Virat and Samrat together invested 50000 and 120000 rupees to start a business. They suffered a loss of 20%. How much loss did each of them incur ?
ANSWER:
The proportion of Virat's and Samrat’s investment is given by
50000:120000 = 5:12
The loss is shared in the same proportion as the investment, hence, proportion of profit is 5:12.
Now, Loss = 20100×(50000+120000)
20100×(170000)
= 34000 rupees
Therefore, the loss incurred by Virat and Samrat is given by
Virat's loss = 517×34000
= 10000 rupees
Samrat's loss = 1217×34000
= 24000 rupees
Hence, Virat and Samrat incurred the loss of 10000 and 24000 rupees respectively.
Page No 68:
Question 3:
Shweta, Piyush and Nachiket together invested 80000 rupees and started a business of selling sheets and towels from Solapur. Shweta’s share of the capital was 30000 rupees and Piyush’s 12000. At the end of the year they had made a profit of 24%. What was Nachiket’s investment and what was his share of the profit?
ANSWER:
Nachiket’s investement = Total investment − (Shweta’s investment + Piyush’s investment)
= 80000 − (30000 + 12000)
= 80000 − 42000
= 38000 rupees
The proportion of Shweta's, Piyush's and Nachiket's investment is given by
30000:12000:38000 = 15:6:19
The profit is shared in the same proportion as the investment, hence, proportion of profit is 15:6:19.
Now, Profit = 24100×(80000)
= 19200 rupees
Therefore, Nachiket’s share of the profit is given by
= 1940×19200
= 9120 rupees
Hence, Nachiket’s investment and his share of the profit are 38000 and 9120 rupees respectively.
Page No 68:
Question 4:
A and B shared a profit of 24500 rupees in the proportion 3:7. Each of them gave 2% of his share of the profit to the Soldiers’ Welfare Fund. What was the actual amount given to the Fund by each of them?
ANSWER:
Amount of share to the Soldiers’ Welfare Fund = 2% of 24500
= 490 rupees
The profit is shared in the proportion 3:7.
Therefore, A’s share to the Fund is given by
= 310×490
= 147 rupees
Therefore, B’s share to the Fund is given by
= 710×490
= 343 rupees
Hence, A's and B's share to the fund .
