ratio proportion and partnership Model Questions & Answers, Practice Test for ssc mts paper 1 2023
ssc mts paper 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
LCM & HCF
Ratio Proportion & Partnership
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Trigonometric Ratios & Identity
In an engineering college the average salary of all engineering graduates from Mechanical trade is Rs. 2.45 lacs per annum and that of the engineering graduates from Electronics trade is Rs. 3.56 lacs per annum. The average salary of all Mechanical and Electronics graduates is Rs. 3.12 lacs per annum. Find the least number of Electronics graduates passing out from this institute.
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.
A invests Rs.64,000 in a business. After few months B joined him with Rs. 48,000. At the end of year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?
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
Beena and Meena started a boutique investing amount of Rs. 35000 and Rs. 56000 respectively. If Beena's share in the profit earned by them is Rs. 45000, what is the total profit earned?
Answer: (d)
Ratio of capital
= 35000 : 56000
5 : 8
Beena's share $5/13 × x = 45000$
$x=45000 × 13/5 = 117000$
A sum of Rs. 1300 is divided amongst P, Q, R and S such that ${\text"P 's share"}/{\text"Q's share"} = {\text"Q's share"}/{\text"R 's share"} = {\text"R's share"}/{\text"S's share"} = 2/3$. Then, P's share is:
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
Shalini and Nalini invested Rs.80,000 each and started a business. After one year Shalini invests an additional amount of Rs.20,000 and Nalini withdraws Rs.30,000. At the end of two years they earn a profit of Rs.93,000. What will be Nalini's hare in the profit?
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
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