Soham’s initial expenditure and savings were in the ratio of 5 ∶ 3. His income increases by 25%. If his initial savings were ₹4,500, find his income (in ₹) after the increment.

If the third proportional of 3x² and 4xy is 48, then find the positive value of y.

The following table shows the number of delivery partners (in thousands) who joined five different companies during six different years.

Year	Companies
	Emazon	Clipkart	Twiggy	Tomato	Pyntra
2016	2.4	4.5	1.2	0.9	4.2
2017	1.8	5.4	1.5	1.2	5.6
2018	3.2	7.2	2.4	2.1	6.3
2019	3.9	5.6	2.8	2.7	6.5
2020	4.2	6.4	3.2	3.3	7.0
2021	5.0	7.2	3.6	3.6	7.2

Find the ratio of the number of delivery partners who joined Clipkart (in 2019 and 2020) to the number of delivery partners who joined Tomato (in 2019 and 2020).

Which of the following is the smallest ratio?

$\frac{5}{6}, \frac{7}{9}, \frac{11}{12}, \frac{13}{18} $