Question:
During the academic session 2009-10, in Banaras Hindu University, Varanasi, the number of students studying Arts, Law and Commerce was in the ratio of 5:6:7. If during the academic session 2010-11 the number of students studying Arts, Law and Commerce increased by 20%, 30% and 40% respectively, what will be new ratio?
During the academic session 2009-10, in Banaras Hindu University, Varanasi, the number of students studying Arts, Law and Commerce was in the ratio of 5:6:7. If during the academic session 2010-11 the number of students studying Arts, Law and Commerce increased by 20%, 30% and 40% respectively, what will be new ratio?
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Apply percentage increase on each term and then simplify the resulting ratio to get the final answer.
Updated On: Aug 11, 2025
- 26:42:63
- 36:44:73
- 26:39:49
- 30:39:49
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The Correct Option is D
Solution and Explanation
Let the original numbers be \( 5x, 6x, 7x \).
Step 1: Apply percentage increases: \[ \text{Arts} = 5x + 20%\text{ of }5x = 5x \times 1.2 = 6x
\text{Law} = 6x \times 1.3 = 7.8x
\text{Commerce} = 7x \times 1.4 = 9.8x \] Step 2: Express new ratio: \[ 6x : 7.8x : 9.8x = 60 : 78 : 98 \] Step 3: Simplify ratio (divide by 2): \[ 30 : 39 : 49 \]
Step 1: Apply percentage increases: \[ \text{Arts} = 5x + 20%\text{ of }5x = 5x \times 1.2 = 6x
\text{Law} = 6x \times 1.3 = 7.8x
\text{Commerce} = 7x \times 1.4 = 9.8x \] Step 2: Express new ratio: \[ 6x : 7.8x : 9.8x = 60 : 78 : 98 \] Step 3: Simplify ratio (divide by 2): \[ 30 : 39 : 49 \]
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