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Seeta and Rashmi have chocolates in the ratio 3:2. If Seeta gives 2 chocolates to Rashmi, both of them will have equal number of chocolates. How many
Question

Seeta and Rashmi have chocolates in the ratio 3:2. If Seeta gives 2 chocolates to Rashmi, both of them will have equal number of chocolates. How many chocolates did Seeta have initially?

A.

9

B.

12

C.

15

D.

18

Correct option is B

Given:
Ratio of chocolates: Seeta : Rashmi = 3 : 2
After Seeta gives 2 chocolates to Rashmi, both have equal chocolates.

Solution:
Use the concept of ratio and linear equations:
Let chocolates with Seeta = 3x
Let chocolates with Rashmi = 2x

After transfer:
Seeta = 3x − 2
Rashmi = 2x + 2
Set them equal:
3x − 2 = 2x + 2
3x − 2 = 2x + 2
=> 3x − 2x = 2 + 2
=> x = 4

Initial chocolates with Seeta = 3x = 3 × 4 = 12

Final Answer:
(B) 12

 

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