ratio proportion and partnership Model Questions & Answers, Practice Test for ssc mts paper 1 2023

Answer: (b)

Let the number of Mechanical engineering graduates be M and Electronic engineering graduates be E. Then

${2.45M + 3.56E}/{M + E}$ = 3.12⇒2.45M + 3.56E = 3.12M + 3.12E

⇒0.44E = 0.67M⇒E = ${0.67}/{0.44}M ={67}/{44}$M

For E to be an integer, the least value will be 67.

Answer: (b)

${64000×12}/{48000×x}=2/1$

${768000}/{48000}=2/1$

768000 = 2 × 48000x

or ${768000}/{48000×2}$ = x = 8

i.e. B joined after 4 months

Answer: (d)

Ratio of capital

= 35000 : 56000

5 : 8

Beena's share $5/13 × x = 45000$

$x=45000 × 13/5 = 117000$

Answer: (c)

Let P = 2x and Q = 3x. Then $Q/R = 2/3⇒R = 3/2$Q

=$(3/2×3x) = {9x}/2$

Also, $R/S = 2/3⇒S = {3/2} R = (3/2×{9x}/2) = {27x}/4$

Thus, P = 2x, Q = 3x, R = ${9x}/2 = \text"and S" = {27x}/4$

Now, P + Q + R + S = 1300

⇔$(2x+3x+{9x}/2+{27x}/4)$ = 1300

⇔(8x + 12x + 18x + 27x) = 5200

⇔65x = 5200⇔$x = {5200}/65$ = 80.

∴ P's share = Rs. (2 × 80) = Rs. 160

Answer: (a)

Shalini's equivalent = Rs. (80000 × 12 + 100000 × 12)

= Rs. (960000 + 1200000) = Rs. 2160000

Nalini's equivalent capital for 1 month

= Rs. (80000 × 12 + 50000 × 12)

= Rs. (690000 + 600000) = Rs. 1560000

∴ Ratio of the profit = 2160000 : 1560000

= 216 : 156 = 18 : 13

∴ Nalini's share = Rs. $(13/{13+18})$ × 93000

= Rs. $({13}/{31} × 93000)$ = Rs. 39000