SBI PO Quantitative aptitude practice set 25

1 . Directions (1-5): Study the following graph carefully to answer the questions that follow: $Q.$ If the income of the company in the year 2010 was Rs.120 crore, what was the percentage profit of the company in the year 2010? A.   100% B.   120% C.   133% D.   140% 2 . If the expenditure of the company in the year 2011 was `85 crore, what was the ratio of income to expenditure of the company in that year? A.   23 : 17 B.   5 : 4 C.   11 : 8 D.   21 : 16 3 . What is the approximate average profit (in `crore) earned by the company over the years? A.   50 B.   48 C.   53 D.   57 4 . If the income of the company in the year 2007 was `950000000, what was the expenditure (in`) of the company in that year? A.   50000000 B.   550000000 C.   40000000 D.   350000000 5 . What is the percentage increase in the profit of the company in the year 2010 from the previous year? A.   43% B.   46% C.   50% D.   40% 6 . Ram invested 20% more than Gautam. Gautam invested 20% less than Vijeta. If the total sum of their investments is Rs.69069 then what amount did Vijeta invest? A.   24185 B.   25025 C.   26523 D.   220625 7 .   A.   3412m$^2$ B.   4132m$^2$ C.   4312m$^2$ D.   5312m$^2$ 8 . In how many different ways can the letters of the word GENERAL be arranged? A.   3280 B.   2640 C.   2830 D.   2520 9 . A man purchased 250 shirts and 340 trousers at the rate of Rs.550 and Rs.650 respectively. What should be the selling price of the shirts and trousers so that 40% profit could be earned? A.   623000 B.   625000 C.   423000 D.   501900 10 . An amount of Rs.2560000 becomes Rs.12960000 in 2 years, if the interest is compounded half-yearly. What is the rate of compound interest? A.   80% B.   90% C.   100% D.   60%

Answers & Solutions   1 .     Answer : Option D Explanation : Expenditure = 120 - 70 = 50 crore Profit % = $70\over 50$ x 100 = 140 % 2 .     Answer : Option A Explanation : Income in 2011 = 85 + 30 = 115 Reqd ratio = 115 : 85 = 23 : 17 3 .     Answer : Option C Explanation : Average profit = $40 + 55 + 50 + 70 + 30 + 75 \over 6$ = $320 \over 6$ $\cong$ 53 crore 4 .     Answer : Option C Explanation : Expenditure = Income – Profit = 95000000 – 400000000 = Rs.550000000 5 .     Answer : Option D Explanation : % increase from previous year = $20 \over 50$ x 100 = 40 % 6 .     Answer : Option B Explanation : let the amount invested by Vijeta be X rs. And the amount invested by Gautam = $80 \over 100$ = $4\over 5$ $x$ Amount invested by Ram = $4x \over 5$ x $120 \over 100$ = $24 \over 25$ $x$ Now, X + $4x \over 5$ + $24x\over 25$ = 69069 x = $69069 \times 25 \over 69$ = Rs. 25025 Hence, Vijeta invested Rs.25025 7 .     Answer : Option C Explanation : Let the circumference of the larger circle be 2$\pi$R. And that of the smaller circle be 2$\pi$r Now, 2$\pi$R = 352 R = $352 \times 7 \over 2 \times 22$ = 56 And smaller circle = 2$\pi$r = 264 Thus, difference between the area of larger circle and that of the smaller circle = $\pi$(56$^2$ - 42$^2$) = $22\over 7$ x (98 $\times$14) = 4312 $m^2$ 8 .     Answer : Option D Explanation : The word GENERAL contains 7 letters , and E comes twice. Reqd no.of ways = $7! \over 2!$ = 7 x 6 x 5 x 4 x 3 = 2520 9 .     Answer : Option D Explanation : Total cost price = (250 × 550) + (340 × 650) = 137500 + 221000 = Rs. 358500 Now, profit = 40% Selling price = 358500 x $140 \over 100$ = Rs. 501900 10 .     Answer : Option C Explanation : Let the rate be r%.