Question
Anuj allocates 80% of his income to expenses, while
Bhuvan spends 70% of his income. Given that both save Rs. 4,200 each, what is the combined total expenditure of Anuj and Bhuvan?Solution
ATQ; Let the income of ‘Anuj’ be Rs. ‘100x’ and income of ‘Bhuvan’ be Rs. ‘100y’ Expense of ‘Anuj’ = 0.80 × 100x = Rs. ‘80x’ Expense of ‘Bhuvan’ = 0.70 × 100y = Rs. ‘70y’ ATQ; 100x – 80x = 4200 Or, 20x = 4200 So, x = 210 100y – 70y = 4200 Or, 30y = 4200 Or, y = 140 So, required sum = (80 × 210) + (70 × 140) = 16800 + 9800 = Rs. 26,600
A and B started a retail store with initial investments in the ratio 5:6 and their annual profits were in the ratio 2:3. If A invested the money for 8 m...
If the ratio of time periods of investment of A and B is 3:5, profit at the end of the year is Rs.120000 and A’s share in it is Rs.20000, then what is...
- ‘X’ started a business by investing Rs. 2,000. After 3 months, ‘Y’ joined with 50% of X’s investment. If the annual profit is Rs. 6,600, find the...
Rs. ‘y’ was invested in scheme A at the rate of 21% per annum for (t+2) years. Rs. (y+2400) was invested in scheme B at the rate of 18% per annum fo...
A invested Rs. (P + 1200). After 3 months, B joined with Rs. 3P. If B’s share to A’s share of the annual profit is 9:5, determine (P − 600).
...X, Y, and Z each invested amounts of Rs. 60,000, Rs. 180,000, and Rs. 100,000 at an annual simple interest rate of 5%. The investment durations for X, Y...
A and B enter into partnership. A invests some money at beginning, B invests thrice the amount after 4 months and C invests double the amount after 9 mo...
A started a business with an investment of Rs.30000. After few months B joined him with an investment of Rs.42000. If at the end of the year, they share...
Raj invested Rs.32000 in a business. After 7 months, Rohan joins him with an investment of Rs.P. If at the end of the year the profit is Rs.55000 and pr...
'A' and 'B' started a partnership by investing Rs. 9,000 and Rs. 12,000 respectively. 25% of the total profit is given to 'A' for managing the business,...