## Percent profit earned by two companies producing Electronic Goods over the years.

Profit Earned = Total Income – Total Investment in the year.

**3.1) If the profit earned in 2006 by company B was Rs. 812500. What was the total income of the company in that year?**

(a) Rs. 12, 50, 000

(b) Rs. 20, 62, 500

(c ) Rs. 16, 50, 000

(d ) Rs. 18, 25, 000

**Sol: **

**% profit = [profit earned / total investment ] × 100**

**65 = [812500/ 1 ] × 100**

**I = (812500 × 100)/65**

** = Rs. 1250000**

**Total Income = Profit earned + total investment.**

**= Rs. (812500 + 1250000)**

**= Rs. 2062500**

**3.2) If the amount invested by two companies in 2005 was equal, what was the ratio between the total income in 2005 of the companies A and B respectively?**

(a) 31: 33

(b) 33: 31

(c ) 34: 31

(d ) 14: 11

**Sol: **

**70 = (x/ I) × 100**

**70 I = 100x —–à (1)**

** 55 = (y/ I) × 100**

**55 I = 100y —–à (2)**

**From (1) & (2 )**

** [70 I /100 ] +I : [ 55 I/ 100] +I**

**170 I : 155 I = 34 : 31.**

**3.3) If the total income invested by two companies in 2009 was Rs. 27 lakhs while the amount invested by company B was 50% of the amount invested by company A. What was the total profit earned by the two companies together?**

(a) Rs. 21.15 lakhs

(b) Rs. 20.70 lakhs

(c ) Rs. 18.70 lakhs

(d ) Rs. 20.15 lakhs

**Sol.: **

**Investment by company A = [2/3] × 27 = Rs. 18 lakh**

**Investment by company B = Rs. 9 lakh.**

**For company A,**

**75 = [p /18 ] × 100.**

**P= (75 × 18)/ 100 = Rs. 13.5 lakh.**

**For Company B,**

**80 = [q / 9] × 100**

**q = 80 × 9/ 100 lakh**

** = Rs. 7.2 lakh**

**Total profit earned = 13.5 + 7.2 = Rs. 20.7 lakh**

**3.4) If the incomes of company A in 2007 and 2008 were equal and the amount invested in 2007 was Rs. 12 lakhs, what was the amount invested in 2008?**

(a) Rs. 10, 87, 500

(b) Rs. 10, 85, 700

(c ) Rs. 12, 45, 000

(d ) Rs. 12, 85, 000

**Sol:**

**For the year 2007,**

**45 = (p/12 )× 100**

**=> p = ( 45 × 12 )/100 = Rs. 5.4 lakh.**

**Total income = 12 + 5.4 lakh**

**=Rs. 17.4 lakh**

**If the amount invested in 2008 be Rs. 1 lakh, then**

**60 = [17.4 – I / I] × 100**

**160 I = 1740****I = 1740 /160 = 10.875 lakh****= Rs. 1087500.**

**3.5) If the amount of profit earned by company A in 2006 was Rs. 10.15 lakhs. What was the total investment?**

(a) Rs. 13. 8 lakhs

(b) Rs. 14.9 lakhs

(c ) Rs. 15.4 lakhs

(d ) Rs. 18.45 lakhs

**sol.:**

**55 = [10.15/ Investment (I) ] ×100**

**I = 10.15 × 100/ 55**

**= Rs. 18.45 lakh.**