Raju sells a watch at a 5% profit. Had he sold it for Rs.24 more; he would have gained 11%. Find the cost price of the watch. - Mathematics

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Sum

Raju sells a watch at a 5% profit. Had he sold it for Rs.24 more; he would have gained 11%. Find the cost price of the watch.

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Solution

Let C.P. of the watch = Rs.100

When profit = 5%; S.P. = Rs.(100+5) = Rs.105

When profit = 11%;

S.P. = Rs.(100 + 11) = Rs .111

Difference of two selling prices = Rs. 111 – Rs. 105 = Rs.6

When watch sold for Rs.6 more; then C.P. of the watch = Rs.100

When watch sold for Re. 1 more; then C.P. of the watch = Rs.`100/6`

When watch sold for Rs.24 more; then C.P. of the watch = Rs.`100/6xx24`

= Rs.400

Concept: To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 8 Profit, Loss and Discount
Exercise 8 (C) | Q 9 | Page 95
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