If Rs. 2,580 is divided among P, Q and R such that P's share is 1½ times that of Q and Q's share is 1¾ time that of R, then the share of Q is:
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Answer:
Rs. 840
Step-by-step explanation:
Total money = Rs. 2,580
Let R's share be Rs. x
Then Q's share = 1¾ of R's share = 7/4 of Rs. x = Rs. 7x/4
P's share = 1½ of Q's share = 3/2 of Rs. 7x/4 = Rs. 21x/8
x + 7x/4 + 21x/8 = Rs. 2,580
on multiplying by 8
8x + 14x + 21x = Rs. 20,640
43x = Rs. 20,640
x = Rs. 20,460 ÷ 43
= Rs. 480 (R's share)
Q's share = Rs. 7x/4 = Rs. (7×480)÷4 = Rs. 840
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