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In a trust, Raj and Rohit donated Rs. 195. Rohit and Raksha donated Rs. 512 together. If Rohit donated 1/7 of amount donated by Raksha. Then how much more Raj donated compare to Rohit? 

In a trust, Raj and Rohit donated Rs. 195. Rohit and Raksha donated Rs. 512 together. If Rohit donated 1/7 of amount donated by Raksha. Then how much more Raj donated compare to Rohit?  Correct Answer Rs. 67

Given:

Donated by  Raj + Rohit = Rs. 195    

Donated by  Rohit + Raksha = Rs. 512      

Rohit donated = 1/7 of Raksha            

Calculation:

Donated by  Raj + Rohit = Rs. 195      ……………….(1)

Donated by  Rohit + Raksha = Rs. 512           ……………………(2)

Rohit donated = 1/7 of Raksha                     …………………….(3)

⇒ Let assume that  amount donated by Raksha = Rs. x

From equation (3) and (2)

⇒ 1/7 of x + x = Rs. 512

⇒ 8/7 x = 512

⇒ x = (512 × 7)/8

⇒ x = Rs. 448

⇒ Amount donated by Raksha = Rs. 448

According to equation (3)

⇒ Amount donated by Rohit =  448 × 1/7 = Rs. 64                …………….(4)

According to equation (1) and (4)

⇒ Amount donated by Raj = Rs. 195 – Rs.64 = Rs. 131

⇒ Amount more donated by Raj = Rs. 131 – Rs. 64 = Rs. 67

∴ Rs. 67 more donated by Raj than Rohit.                        

The correct option is 1 i.e. Rs. 67

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