1000+ Aptitude Questions for Bank PO, SO, Clerk, SSC, UPSC Exams - 1
Question: 1
Find the investment required to purchase Rs. 125000 of 8% stock at 92.
(A) Rs.105000
(B) Rs.115000
(C) Rs.120000
(D) Rs.125000
Ans: B
Market value of Rs.100 stock = Rs. 92
∴ Market value of Rs. 125000 stock = Rs. $$({92}/{100} × 125000)$$ = Rs. 115000
∴ An investment of Rs. 115000 is required to purchase Rs. 125000 of 8% stock at 92.
Question: 2
A man bought 20 shares of Rs.50 at 5 discount, the rate of discount being $$4{3}/{4}$$%. The rate of interest obtained is
(A) 4.95%
(B) 5.28%
(C) $$3{1}/{4}$$%
(D) $$4{3}/{4}$$%
Ans: B
Face value = Rs. (50 × 20) = Rs. 1000
Dividend = Rs. $$({1000 × 19} / {4 × 100})$$ = Rs. $$({95}/{2})$$
Investment = Rs. (45 × 20) = Rs. 900
Rate = Rs. $$({95 × 100}/{2 × 900})$$ = 5.28%.
Question: 3
Suganya invested Rs.245000 in 7% stock at 98 and sold the stock when its price rose to Rs.100. She invested the sale proceeds in 9% stock at 125. Find out the change in income of Suganya.
(A) Rs.500
(B) Rs.600
(C) Rs.650
(D) Rs.700
Ans: A
Income from first stock = Rs.$$({7}/{98} × 245000)$$ = Rs.17500
We have to find the amount realized on selling this stock.
Amount realized on selling Rs.98 stock = Rs.100
Amount realized on selling Rs.245000 stock
= Rs.$$({100}/{98} × 245000)$$ = Rs. 250000
This amount is invested in 9% stock at 125.
∴ Income from second stock = Rs.$$({9}/{125} × 250000)$$ = Rs. 18000
Hence, increase in income = Rs. (18000 – 175000) = Rs.500.
Question: 4
A man invested Rs.50490 in 5% stock at 99 and sold it when the price rose to Rs.102. He invested the sale proceeds in 8% stock at 96. Find out the change in man’s income (Brokerage : Rs.3).
(A) Rs.1385
(B) Rs.1485
(C) Rs.1585
(D) Rs.1685
Ans: B
Purchase price of first stock = Rs.(99 + 3) = Rs.102.
∴ Income on first stock = Rs.$$({5}/{102} × 50490 )$$ = Rs.2475
Sale price of stock = Rs.(102 - 3) = Rs.99
∴ Amount received by selling the first stock
= Rs. $$({99}/{102} × 50490)$$ = Rs.49005
Purchase price of the second stock = Rs.(96 + 3) = Rs.99
∴ Income on second stock = Rs.$$({8}/{99} × 49005)$$ = Rs.3960
Hence, change in income = Rs.(3960 - 2475) = Rs.1485
Question: 5
A retired man sells out Rs.7500 of a 10% stock at Rs.105.50 and invests the proceeds in 14% stock at Rs.124.50. What is the change in income if he pays a service charge of 0.5% of the face value on each transaction?
(A) Rs.95
(B) . Rs.114
(C) Rs.132
(D) Rs.152
Ans: C
Number of shares sold = $${7500}/{100}$$ = 75
Proceeds from sale of Rs.7500 stock
= Rs.[(105.50 – 0.5) × 75] = Rs.7875.
Number of new shares purchases = $$({7875} / {124.50 + 0.50})$$ = $$({7875}/{125})$$ = 63
Original income = 10% of Rs.7500 = Rs.750.
New income = 14% of Rs.6300 = Rs.$$({14}/{100} × 6300)$$ = Rs.882.
∴ Change in income = Rs.(882 – 750) = Rs. 132.
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