₹5,580 is divided among P, Q and R in the ratio of 7:11:13, respectively. What is the difference (in ₹) between the one-third of the largest share and two-fifth of the smallest?
- A504
- B276
- C516
- D288
Solution & Step-by-step Explanation
Total amount = ₹5,580
Ratio of shares of P, Q, and R = 7:11:13
Sum of the ratio terms = 7+11+13=31
Value of 1 unit =
31
5580
=180
Smallest share (P's share) = 7 units=7×180=₹1,260
Largest share (R's share) = 13 units=13×180=₹2,340
Now, calculate the values as asked:
One-third of the largest share =
3
1
×2340=780
Two-fifth of the smallest share =
5
2
×1260=2×252=504
Difference between them:
Difference=780−504=276
Ratio of shares of P, Q, and R = 7:11:13
Sum of the ratio terms = 7+11+13=31
Value of 1 unit =
31
5580
=180
Smallest share (P's share) = 7 units=7×180=₹1,260
Largest share (R's share) = 13 units=13×180=₹2,340
Now, calculate the values as asked:
One-third of the largest share =
3
1
×2340=780
Two-fifth of the smallest share =
5
2
×1260=2×252=504
Difference between them:
Difference=780−504=276