Question
The ratio of the monthly incomes of A and B is 11: 13
and the ratio of their expenditures is 9: 11. If both of them manage to save ₹4,000 per month, then find the difference in their incomes (in ₹).Solution
Let, the monthly income of A = 11x The monthly income of B = 13x The monthly expenditures of A = 9y The monthly expenditures of B = 11y So, 11x - 9y = 4000 .....(1) 13x - 11y = 4000 .....(2) (1) × 11 - (2) × 9 gives, 121x - 99y - 117x + 99y = 44000 - 36000 ⇒ 4x = 8000 ⇒ x = 8000/4 = 2000 ∴ A's income = 11 × 2000 = Rs. 22000 ∴ B's income = 13 × 2000 = Rs. 26000 The difference of income = 26000 - 22000 = Rs. 4000 Alternate method
The difference = 2 ratio = Rs. 4000 Their income difference = 13 - 11 = 2 ratio ∴ Income difference = Rs. 4000 ∴ The difference between A and B's incomes (in Rs.) is Rs. 4000
- Simplify:- 100 ÷10-[-2+{-9+(3-6 of 2)}]=.
Statements : I < B < C = D ≤ E < G > F < H < J
Conclusions :
I. I < E
II. D > J
- Employee P manufactures 24 bottles an hour, and Employee Q manufactures 16 bottles per hour. If 20% of the bottles are damaged, how much time is required t...
After 3 years, B’s age will be?
- What is the remainder when (q¹⁹ + 1) is divided by (q + 1)?
What is the code for ‘must’?
In the question given below, a passage is given followed by three statements which may or may not be inferred from the passage. Select the correct comb...
Among D, E, F, G and H each having a different height, G is shorter than E. H is shorter than D. F is taller than E but shorter than H. Who among them i...
Statements: J ≤ O = A ≤ Q = R, V < U ≤ A = T ≥ S
Conclusion:
I. R ≤ U
II. R > V
III. J ≥ S
From the given answer figures, select the one in which the question figure is hidden / embedded(rotation is not allowed).