Question
The monthly incomes of A, B and C are in the ratio 5 : 7
: 9. Their monthly savings are in the ratio 2 : 3 : 4. The ratio of A’s expenditure to C’s expenditure is 3 : 5. If the total monthly income of A, B and C is Rs. 42,000, find: (i) B’s monthly savings (ii) The difference between the monthly expenditures of C and A. Choose the Correct Options - A) (i) Rs. 6,000 (ii) Rs. 4,000. B) (i) Rs. 1,000 (ii) Rs. 2,000. C) (i) Rs. 6,700 (ii) Rs. 4,200. D) (i) Rs. 2,250 (ii) Rs. 4,000. E) None of theseSolution
ATQ, Let incomes of A, B, C be 5x, 7x, 9x. Let their savings be 2y, 3y, 4y. Then expenditures are: A: 5x − 2y B: 7x − 3y C: 9x − 4y. Given: (5x − 2y) : (9x − 4y) = 3 : 5 ⇒ (5x − 2y)/(9x − 4y) = 3/5 Cross-multiplying: 5(5x − 2y) = 3(9x − 4y) 25x − 10y = 27x − 12y ⇒ 0 = 2x − 2y ⇒ x = y. Total income: 5x + 7x + 9x = 21x = 42,000 ⇒ x = 2,000. So incomes are: A = 5x = 10,000 B = 7x = 14,000 C = 9x = 18,000. Savings: A = 2x = 4,000 B = 3x = 6,000 C = 4x = 8,000. Expenditures: A = 10,000 − 4,000 = 6,000 B = 14,000 − 6,000 = 8,000 C = 18,000 − 8,000 = 10,000. (i) B’s savings = Rs. 6,000. (ii) Difference (C’s exp − A’s exp) = 10,000 − 6,000 = Rs. 4,000. Answer: (i) Rs. 6,000 (ii) Rs. 4,000.
- If Sohan’s monthly salary is (75/3)% more than Rohan’s salary, then by what percentage is Rohan’s salary less than Sohan’s?
- The incomes of Arjun, Kabir, and Lakshya are in the ratio 15:10:9, and their savings are in the ratio 6:4:3. If Kabir saves Rs. 16,000, which is 40% of his...
The monthly incomes of A and B are in the ratio 3 : 4, and their monthly expenditures are in the ratio 2 : 3. If each of them saves Rs. 4,000 per month,...
The income of P is 3/4 th of the income of Q and income of R is 70% more than the income of Q. Income of Q is Rs.24000 and expenditure of P ...
- The income of Kavita is (50/2)% more than the income of Sneha. How much percent less is Sneha’s income compared to Kavita’s?
Person X's earnings exceed Person Y's by 25%, and both individuals manage to save Rs. 2400 each. The ratio of Person Y's expenses to Person X's expenses...
- The salary of a person is increased by Rs. 500. If his old salary was 25% less than his new salary, then his old salary was:
- X allocates his monthly income as follows: 10% for rent, 20% for groceries, and 25% for bills, while saving the remaining amount. If his savings amount to ...
Priya spends 35% of her income on house rent. From what’s left, she uses 25% for groceries and 50% for travel. The rest is her savings. If the differe...
Average income of 'X' and 'Y' together is Rs. 45,000. Whereas the average expenditure of 'X' and 'Y' is Rs. 34,000. Find the savi...
