Question

One year ago the ratio between Maneela’s and Shanthi’s salary was 3 : 4. The ratios of their individual salaries between last year’s and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4160. The salary of Maneela, now is?

Answer 1

One year ago the ratio between Maneela’s and Shanthi’s salary was 3 : 4. The ratios of their individual salaries between last year’s and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4160. The salary of Maneela, now is?

A) Rs. 1600B) Rs. 1700C) Rs. 1800D) Rs. 1900

Answer:   A) Rs. 1600 

Explanation:

Let the salaries of Maneela and Shanthi one year before be M1, S1 & now be M2, S2 respectively.

Then, from the given data,

M1/S1 = 3/4  .....(1)

M1/M2 = 4/5 .....(2)

S1/S2 = 2/3  .....(3)

and M2 + S2 = 4160  .....(4)

 

Solving all these eqtns, we get M2 = Rs. 1600.

Answer 2

$\huge{\mathfrak{\underline{Question :}}} \\ \\ \textsf{One year ago the ratio between} \\ \textsf{Maneela’s and Shanthi’s salary was} \\ \textsf{3 : 4. The ratios of their individual} \\ \textsf{salaries between last year’s and} \\ \textsf{this year’s salaries are 4 : 5 and 2 : 3} \\ \textsf{respectively. At present the total of} \\ \textsf{their salary is Rs. 4160. The salary} \\ \textsf{of Maneela, now is?} \\ \\\huge{\mathfrak{\underline{Answer :}}} \\ \\ \underline{\boxed{\textsf{The Salary of Maneela is Rs. 1600.}}} \\ \\ \sf \huge{\mathfrak{\underline{Step-by-Step \: Explanation :}}} \\ \\ \sf{Let \: salary \: of \: Maneela \: one \: year \: ago=3k} \\ \sf{Let \: salary \: of \: Shanthi \: one \: year \: ago = 4k} \\ \\ \sf Present \: salary \: of \: Maneela \\ \sf = \frac{3k \times 5}{4} \\ \sf = \frac{15k}{4} \\ \\ \sf Present \: salary \: of \: Shanthi \\ \sf = \frac{4k \times 3}{2} \\ \sf = 6k \\ \\ \underline{ \sf ATQ,} \\ \\ \implies \sf \frac{15k}{4} + 6k = 4160 \\ \implies\sf \frac{15k + 24k}{4} = 4160 \\ \implies \sf 15k + 24k = 4160 \times 4 \\ \implies \sf 39k = 16640 \\ \implies \sf k = \frac{16640}{39} \\ \\ \sf Salary \: of \: Maneela \: now \\ \sf = \frac{15k}{4} \\ \sf = \frac{15}{4} \times \frac{16640}{39} \\ \sf = 1600$