Question

Rina, Shina and Tina received a total of Rs. 2016 as monthly allowance from their mother such that Tina getsof what Rina gets and Shina gets times Tina’s share. How much money do the three sisters get individually?

Answer 1

Finding shares for each

Complete question: Rina, Shina and Tina received a total of Rs. 2016 as monthly allowance from their mother such that Tina gets 1/2 of what Rina gets and Shina gets 3 times Tina’s share. How much money do the three sisters get individually?

Given: Rina, Shina and Tina received a total of Rs. 2016 as monthly allowance from their mother such that Tina gets 1/2 of what Rina gets and Shina gets 3 times Tina’s share.

To find: How much money do the three sisters get individually?

Solution: Let Rina, Shina and Tina get Rs. R, Rs. S and Rs. T respectively.

According to the question,

R + S + T = 2016 .....(1)

T = 1/2 * R or, R = 2T .....(2)

S = 3 * T or, S = 3T .....(3)

From (1), (2) and (3), eliminating R and S, we get

2T + 3T + T = 2016

or, 6T = 2016

or, T = 336

From (2), we get

R = 672

and from (3), we get

S = 1008

Answer:

• Rina's share = Rs. 672
• Shina's share = Rs. 1008
• Tina's share = Rs. 336