Question
Rittu and Mittu started a cosmetic business with Rittu
investing Rs. 30,000 and Mittu investing a certain amount of money. They hired a receptionist as a manager and agreed to pay him a 10% commission on the total profit. After one year, they offered the receptionist the opportunity to become a partner by contributing Rs. 40,000. Over two years, the business accumulated a total profit of Rs. ____. The difference between the total amount received by the receptionist (including profit and commission) and Mittu's share of the profit at the end of two years is Rs. ____. Now, you need to find the missing values in the blanks. Which set of values, from the following options, can be placed in the blanks in the same order as listed to make the statement true: I. 40,000, 2,00,000, 20,000 II. 30,000, 3,00,000, 7,500 III. 60,000, 2,20,000, 50,000Solution
ATQ, For case I: Ratio of profit shares of 'Rittu', 'Mittu' and 'Receptionist' at the end of two years = (30000 × 2):(40000 × 2):(40000 × 1) = 3:4:2 So, commission of 'Receptionist' = 2,00,000 × 0.1 = Rs. 20,000 So, gross profit remaining to distribute = 200000 - 20000 = Rs. 1,80,000 So, profit share of 'Mittu' = 1,80,000 × (4/9) = Rs. 80,000 So, profit share of 'Receptionist' = 1,80,000 × (2/9) = Rs. 40,000 So, required difference = 80000 - (40000 + 20000) = Rs. 20,000 So, case I is true. For Case II: Ratio of profit shares of 'Rittu', 'Mittu' and 'Receptionist' at the end of two years = (30000 × 2):(30000 × 2):(40000 × 1) = 3:3:2 So, commission of 'Receptionist' = 3,00,000 × 0.1 = Rs. 30,000 So, gross profit remaining to distribute = 300000 - 30000 = Rs. 2,70,000 So, profit share of 'Mittu' = 2,70,000 × (3/8) = Rs. 1,01,250 So, profit share of 'Receptionist' = 2,70,000 × (2/8) = Rs. 67,500 So, required difference = 101250 - (67500 + 30000) = Rs. 3,750 So, case II is not true. For case III: Ratio of profit shares of 'Rittu', 'Mittu' and 'Receptionist' at the end of two years = (30000 × 2):(60000 × 2):(40000 × 1) = 3:6:2 So, commission of 'Receptionist' = 2,20,000 × 0.1 = Rs. 22,000 So, gross profit remaining to distribute = 220000 - 22000 = Rs. 1,98,000 So, profit share of 'Mittu' = 1,98,000 × (6/11) = Rs. 1,08,000 So, profit share of 'Receptionist' = 1,98,000 × (2/11) = Rs. 36,000 So, required difference = 108000 - (36000 + 22000) = Rs. 50,000 So, case III is true.
Present ages of P and Q are in the ratio 2:5 respectively. If Q’s age, 15 years hence from now will be 5 times of P’s age, 5 years ago from now, the...
The total age of A, B and C five years hence will be 85 years. Find the age of C four years hence, if the present age of A and B is 32 years and 21 year...
The present age of Arvind is three times of Sanjay. 6 years hence the age of Arvind will become 5 years more than 2 times the age of Sanjay. The present...
When 19 years is subtracted from the present age of A and the obtained result is divided by 5, then the present age of his nephew is obtained. If the pr...
Two years ago, the combined ages of Armaan and Bikash equaled Chetna's age at that time. Ten years ago, Armaan was twice as old as Bikash. If, in five y...
P says to Q “I am four times as old as you were when I was as old as you are”. The difference between their ages is 15 years. Find the sum o...
- Two years ago, the sum of the ages of 'Sonia' and 'Ayesha' was 50 years. If the ratio of their present ages is 9:16, respectively, then find the age of 'Ay...
In 12 years, 'A's age will be three times what it was 20 years ago. After 12 years, the age ratio between 'A' and 'B' will be 4:5. Currently, the averag...
In 6 years, Divya's age will be 40% less than Malu's age at that time, and currently, Divya's age is 25% more than Soni's age. Additionally, the age of ...
The ratio of the present ages of a son and his father 3:7 and that of his mother and father is 6:7. Four years ago, the ratio of the age of the son that...
