| **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%.
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