Directions (51 - 55): In each of the following questions, read the given statements and compare the two given quantities and give answer.
Quantity I: Abhishek and Sahil together started a business with initial investment of Rs. 1200 and Rs. 1500, respectively. After one year, both increased their investments by 24% and 16%, respectively. If at the end of 2 years, the total profit earned was Rs. 2470, then find the profit share of Abhishek.
Quantity II: Ramesh has Rs. 1500 with him. If he gives Rs. 360 to Manisha, then find the amount left with Ramesh.
Quantity-I < Quantity-II
Quantity-I >; Quantity-II
Quantity-I $\le$ Quantity-II
Quantity-I $\ge$ Quantity-II
Quantity-I = Quantity-II or No relation
Solution
Quantity I:
Total investment of Abhishek = 1200 + 124% of 1200 = 1200 + 1488 = Rs. 2688
Total investment of Sahil = 1500 + 116% of 1500 = 1500 + 1740 = Rs. 3240
Ratio of investment of Abhishek and Sahil = 2688: 3240 = 112: 135
Profit share of Abhishek $= \left( \dfrac {112}{247} \right) \times 2470$ = Rs. 1120
Quantity II:
Amount left with Ramesh = 1500 – 360 = Rs. 1140
So, Quantity-I <; Quantity-II