**Quantitative Reasoning - Shares & Stocks**

*For you who are taking XAT in forthcoming January 2019 may find following Quant reasoning questions useful for practice: *

The following question will give you clarity about the different terms such as face value, market price, percent dividend, percent interest, yield or rate of return or return on investment (ROI).

**Question**

Which amongst the following investments has the lowest return?

a) 7% Rs.100 shares at Rs.120

b) 8% Rs.10 shares at 13.50

c) 9% Rs.50 shares at Rs.54

(1) a only

(2) b only

(3) c only

(4) both 'a' and 'c'

**Answer**

Option (1). ‘a’ only: 7% Rs.100 shares at Rs.120

**Explanation**

• 7% Rs.100 shares at Rs.120, i.e. the income earned by investing Rs. 120 to buy the share = Rs. 7. Therefore, return = 7/120

• 8% Rs.10 shares at Rs.13.50, i.e. the income earned by investing Rs.13.50 on this share is Rs.0.80. Therefore, return = 0.8/13.5 = 8/135

• 9% Rs.50 shares at Rs.54, i.e. the income earned by investing Rs.54 on this stock is Rs.4.50. Therefore, return = 4.5/54 = 1/12 = 10/120

From the available data we know that 4.5/54 = 1/12 = 10/120 (i.e., returns from the 9% Rs.50 share at Rs.54) is a better investment than 7/120 (i.e., returns from a 7% Rs.100 share at Rs.120).

Hence, we need to compare between 7% Rs.100 share at Rs.120 and 8% Rs.10 share at Rs.13.50

7/120 = 7*9/120*9 = 63/1080 & 8/135 = 8*8/135*8 = 64/1080

64/1080 is a better investment than 63/1080

Therefore, the investment with the lowest return is the one given in choice (a).

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